1KWICINDEX 31/12/79 PAGE 1 0 GSSJACWGHTS COMPUTES THE ABSCISSAE AND WEIGHTS FOR GAUSS- JACOBI QUADRATURE. 31425 291 GSSLAGWGHTS COMPUTES THE ABSCISSAE AND WEIGHTS FOR GAUSS- LAGRANGE QUADRATURE. 31427 291 ABSMAXMAT CALCULATES THE MODULUS OF THE LARGEST ELEMENT OF A MATRIX AND DELIVERS THE 31069 241 ITERATIVE METHOD, WHICH IS AN ACCELERATION OF RICHARDSON'S METHOD. 33171 225 LTISTEP METHOD ADAMS-MOULTON, ADAMS-BASHFORTH OR GEAR'S METHOD; THE ORDER OF ACCURACY IS AUTOMATIC, UP TO 5TH ORDE 33080 151 RIABLE ORDER MULTISTEP METHOD ADAMS-MOULTON, ADAMS-BASHFORTH OR GEAR'S METHOD; THE ORDER OF ACCURACY IS AUTOMATIC, 33080 151 ELMCOMCOL ADDS A COMPLEX NUMBER TIMES A COMPLEX COLUMN VECTOR TO A COMPLEX COLUMN VECTOR. 34377 25 ELMCOMVECCOL ADDS A COMPLEX NUMBER TIMES A COMPLEX COLUMN VECTOR TO A COMPLEX VECTOR. 34376 25 ELMCOMROWVEC ADDS A COMPLEX NUMBER TIMES A COMPLEX VECTOR TO A COMPLEX ROW VECTOR. 34378 25 ELMCOL ADDS A CONSTANT TIMES A COLUMN VECTOR TO A COLUMN VECTOR. 34023 9 ELMROWCOL ADDS A CONSTANT TIMES A COLUMN VECTOR TO A ROW VECTOR. 34028 9 ELMVECCOL ADDS A CONSTANT TIMES A COLUMN VECTOR TO A VECTOR. 34021 9 ELMCOLROW ADDS A CONSTANT TIMES A ROW VECTOR TO A COLUMN VECTOR. 34029 9 ELMROW ADDS A CONSTANT TIMES A ROW VECTOR TO A ROW VECTOR. 34024 9 MAXELMROW ADDS A CONSTANT TIMES A ROW VECTOR TO A ROW VECTOR, MAXELMROW:=THE SUBSCRIPT OF AN E 34025 9 ELMVECROW ADDS A CONSTANT TIMES A ROW VECTOR TO A VECTOR. 34026 9 ELMCOLVEC ADDS A CONSTANT TIMES A VECTOR TO A COLUMN VECTOR. 34022 9 ELMROWVEC ADDS A CONSTANT TIMES A VECTOR TO A ROW VECTOR. 34027 9 ELMVEC ADDS A CONSTANT TIMES A VECTOR TO A VECTOR. 34020 9 LNGADD ADDS TWO DOUBLE PRECISION NUMBERS. 31105 271 DPADD ADDS TWO SINGLE PRECISION NUMBERS TO A DOUBLE PRECISION SUM. 31101 271 EVALUATES THE AIRY FUNCTIONS AI(Z) AND BI(Z) AND THEIR DERIVATIVES. 35140 243 AIRY EVALUATES THE AIRY FUNCTIONS AI(Z) AND BI(Z) AND THEIR DERIVATIVES. 35140 243 AIRY EVALUATES THE AIRY FUNCTIONS AI(Z) AND BI(Z) AND THEIR DERIVATIVES. 35140 243 AND ASSOCIATED VALUES OF THE AIRY FUNCTIONS AI(Z) AND BI(Z) AND THEIR DERIVATIVES. 35145 243 AIRYZEROS COMPUTES THE ZEROS AND ASSOCIATED VALUES OF THE AIRY FUNCTIONS AI(Z) AND B 35145 243 ALLCHEPOL EVALUATES ALL CHEBYSHEV POLYNOMIALS UP TO A CERTAIN DEGREE. 31043 229 ALLJACZER CALCULATES THE ZEROS OF A JACOBIAN POLYNOMIAL. 31370 211 ALLLAGZER CALCULATES THE ZEROS OF A LAGUERRE POLYNOMIAL. 31371 211 ALLORTPOL EVALUATES THE VALUE OF ALL ORTHOGONAL POLYNOMIALS UP TO A GIVEN DEGREE, GI 31045 293 ALLORTPOLSYM EVALUATES THE VALUE OF ALL ORTHOGONAL POLYNOMIALS UP TO A GIVEN DEGREE, 31049 293 ALLZERORTPOL CALCULATES ALL ZEROS OF AN ORTHOGONAL POLYNOMIAL. 31362 211 PERFORMS THE SUMMATION OF AN ALTERNATING INFINITE SERIES. 32010 131 OUNDS CALCULATES THE ERROR IN APPROXIMATED ZEROS OF A POLYNOMIAL WITH REAL COEFFICIENTS. 34502 311 CIENTS OF THE POLYNOMIAL THAT APPROXIMATES A FUNCTION, GIVEN FOR DISCRETE ARGUMENTS, SUCH THAT THE INFINITY NORM O 36022 197 ORDER RUNGE-KUTTA METHOD; THE ARC LENGTH IS INTRODUCED AS AN INTEGRATION VARIABLE; THE INTEGRATION IS TERMINATED A 33018 149 ARCCOS COMPUTES THE ARCCOSINE FOR A REAL ARGUMENT X. 35122 179 ARCCOSH COMPUTES THE INVERSE HYPERBOLIC COSINE FOR A REAL ARGUMENT X. 35115 181 ARCCOS COMPUTES THE ARCCOSINE FOR A REAL ARGUMENT X. 35122 179 ARCSIN COMPUTES THE ARCSINE FOR A REAL ARGUMENT X. 35121 179 ARCSIN COMPUTES THE ARCSINE FOR A REAL ARGUMENT X. 35121 179 ARCSINH COMPUTES THE INVERSE HYPERBOLIC SINE FOR A REAL ARGUMENT X. 35114 181 ARCTANH COMPUTES THE INVERSE HYPERBOLIC TANGENT FOR A REAL ARGUMENT X. 35116 181 ARREB DELIVERS THE ARITHMETIC ERROR BOUND OF THE COMPUTOR. 30002 275 BASE DELIVERS THE BASE OF THE ARITHMETIC OF THE COMPUTOR. 30001 275 ARK SOLVES A SYSTEM OF 1ST ORDER DIFFERENTIAL EQUATIONS ( INITIAL VALUE PROBLEM ) BY 33061 155 ARKMAT SOLVES A SYSTEM OF 1ST ORDER DIFFERENTIAL EQUATIONS ( INITIAL BOUNDARY-VALUE 33066 295 ARREB DELIVERS THE ARITHMETIC ERROR BOUND OF THE COMPUTOR. 30002 275 EFSIRK SOLVES AN AUTONOMOUS SYSTEM OF 1ST ORDER DIFFERENTIAL EQUATIONS ( INITIAL VALUE PROBLEM ) BY M 33160 159 EFERK SOLVES AN AUTONOMOUS SYSTEM OF 1ST ORDER DIFFERENTIAL EQUATIONS ( INITIAL VALUE PROBLEM ) BY M 33120 161 LINIGER2 SOLVES AN AUTONOMOUS SYSTEM OF 1ST ORDER DIFFERENTIAL EQUATIONS ( INITIAL VALUE PROBLEM ) BY M 33131 165 LINIGER1VS SOLVES AN AUTONOMOUS SYSTEM OF 1ST ORDER DIFFERENTIAL EQUATIONS ( INITIAL VALUE PROBLEM ) BY M 33132 221 GMS SOLVES AN AUTONOMOUS SYSTEM OF 1ST ORDER DIFFERENTIAL EQUATIONS ( INITIAL VALUE PROBLEM ) BY M 33191 223 VEN SET OF INTEGERS; IT IS AN AUXILIARY PROCEDURE FOR MINMAXPOL. 36020 197 OF A REFERENCE SET; IT IS AN AUXILIARY PROCEDURE FOR MINMAXPOL. 36021 197 FG IS AN AUXILIARY PROCEDURE FOR THE COMPUTATION OF FRESNEL INTEGRALS. 35028 227 1KWICINDEX 31/12/79 PAGE 2 0 HSHDECMUL IS AN AUXILIARY PROCEDURE FOR THE COMPUTATION OF GENERALIZED EIGENVALUES. 34602 267 HESTGL3 IS AN AUXILIARY PROCEDURE FOR THE COMPUTATION OF GENERALIZED EIGENVALUES. 34603 267 HESTGL2 IS AN AUXILIARY PROCEDURE FOR THE COMPUTATION OF GENERALIZED EIGENVALUES. 34604 267 HSH2COL IS AN AUXILIARY PROCEDURE FOR THE COMPUTATION OF GENERALIZED EIGENVALUES. 34605 267 HSH3COL IS AN AUXILIARY PROCEDURE FOR THE COMPUTATION OF GENERALIZED EIGENVALUES. 34606 267 HSH2ROW3 IS AN AUXILIARY PROCEDURE FOR THE COMPUTATION OF GENERALIZED EIGENVALUES. 34607 267 HSH2ROW2 IS AN AUXILIARY PROCEDURE FOR THE COMPUTATION OF GENERALIZED EIGENVALUES. 34608 267 HSH3ROW3 IS AN AUXILIARY PROCEDURE FOR THE COMPUTATION OF GENERALIZED EIGENVALUES. 34609 267 HSH3ROW2 IS AN AUXILIARY PROCEDURE FOR THE COMPUTATION OF GENERALIZED EIGENVALUES. 34610 267 IXQFIX IS AN AUXILIARY PROCEDURE FOR THE COMPUTATION OF INCOMPLETE BESSELFUNCTIONS. 35053 187 IXPFIX IS AN AUXILIARY PROCEDURE FOR THE COMPUTATION OF INCOMPLETE BESSELFUNCTIONS. 35054 187 FORWARD IS AN AUXILIARY PROCEDURE FOR THE COMPUTATION OF INCOMPLETE BESSELFUNCTIONS. 35055 187 BACKWARD IS AN AUXILIARY PROCEDURE FOR THE COMPUTATION OF INCOMPLETE BESSELFUNCTIONS. 35056 187 BESS PQA01 IS AN AUXILIARY PROCEDURE FOR THE COMPUTATION OF THE BESSEL FUNCTIONS FOR LARGE VALUES OF 35183 249 BESS PQ1 IS AN AUXILIARY PROCEDURE FOR THE COMPUTATION OF THE ORDINARY BESSEL FUNCTIONS OF ORDER ON 35166 253 BESS PQ0 IS AN AUXILIARY PROCEDURE FOR THE COMPUTATION OF THE ORDINARY BESSEL FUNCTIONS OF ORDER ZE 35165 253 SINCOSFG IS AN AUXILIARY PROCEDURE FOR THE SINE AND COSINE INTEGRALS. 35085 185 START IS AN AUXILIARY PROCEDURE IN BESSELFUNCTION PROCEDURES. 35185 249 BAKREAHES1 PERFORMS THE BACK TRANSFORMATION ( ON A VECTOR ) CORRESPONDING TO TFMREAHES. 34171 103 BAKREAHES2 PERFORMS THE BACK TRANSFORMATION ( ON COLUMNS ) CORRESPONDING TO TFMREAHES. 34172 103 BAKLBR PERFORMS THE BACK TRANSFORMATION CORRESPONDING TO EQILBR. 34174 97 BAKCOMHES PERFORMS THE BACK TRANSFORMATION CORRESPONDING TO HSHCOMHES. 34367 107 BAKHRMTRI PERFORMS THE BACK TRANSFORMATION CORRESPONDING TO HSHHRMTRI. 34365 105 BAKSYMTRI1 PERFORMS THE BACK TRANSFORMATION CORRESPONDING TO TFMSYMTRI1. 34144 101 BAKSYMTRI2 PERFORMS THE BACK TRANSFORMATION CORRESPONDING TO TFMSYMTRI2. 34141 101 BACKWARD IS AN AUXILIARY PROCEDURE FOR THE COMPUTATION OF INCOMPLETE BESSELFUNCTIONS 35056 187 BAKCOMHES PERFORMS THE BACK TRANSFORMATION CORRESPONDING TO HSHCOMHES. 34367 107 BAKHRMTRI PERFORMS THE BACK TRANSFORMATION CORRESPONDING TO HSHHRMTRI. 34365 105 BAKLBR PERFORMS THE BACK TRANSFORMATION CORRESPONDING TO EQILBR. 34174 97 BAKLBRCOM TRANSFORMS THE EIGENVECTORS OF A COMPLEX EQUILIBRATED ( BY EQILBRCOM ) MAT 34362 99 BAKREAHES1 PERFORMS THE BACK TRANSFORMATION ( ON A VECTOR ) CORRESPONDING TO TFMREAH 34171 103 BAKREAHES2 PERFORMS THE BACK TRANSFORMATION ( ON COLUMNS ) CORRESPONDING TO TFMREAHE 34172 103 BAKSYMTRI1 PERFORMS THE BACK TRANSFORMATION CORRESPONDING TO TFMSYMTRI1. 34144 101 BAKSYMTRI2 PERFORMS THE BACK TRANSFORMATION CORRESPONDING TO TFMSYMTRI2. 34141 101 THE COEFFICIENT MATRIX IS IN BAND FORM AND IS STORED ROWWISE IN A ONE-DIMENSIONAL ARRAY. 34322 79 LCULATES THE DETERMINANT OF A BAND MATRIX. 34321 77 A POSITIVE DEFINITE SYMMETRIC BAND MATRIX. 34330 85 A POSITIVE DEFINITE SYMMETRIC BAND MATRIX. 34331 87 TRIANGULAR DECOMPOSITION OF A BAND MATRIX, USING PARTIAL PIVOTING. 34320 75 MBASE DELIVERS THE BASE OF THE ARITHMETIC OF THE COMPUTOR. 30001 275 BESS I CALCULATES THE MODIFIED BESSEL FUNCTIONS OF THE 1ST KIND OF ORDER L ( L = 0,. 35172 255 BESS IAPLUSN CALCULATES THE MODIFIED BESSEL FUNCTIONS OF THE 1ST KIND OF ORDER A+N, 35190 251 BESS I0 CALCULATES THE MODIFIED BESSEL FUNCTION OF THE 1ST KIND OF ORDER ZERO. 35170 255 BESS I1 CALCULATES THE MODIFIED BESSEL FUNCTION OF THE 1ST KIND OF ORDER ONE. 35171 255 BESS J CALCULATES THE ORDINARY BESSEL FUNCTIONS OF THE 1ST KIND OF ORDER L ( L = 0,. 35162 253 BESS JAPLUSN CALCULATES THE BESSEL FUNCTIONS OF THE 1ST KIND OF ORDER A+K ( 0<=K<=N, 35180 249 BESS J0 CALCULATES THE ORDINARY BESSEL FUNCTION OF THE 1ST KIND OF ORDER ZERO. 35160 253 BESS J1 CALCULATES THE ORDINARY BESSEL FUNCTION OF THE 1ST KIND OF ORDER ONE. 35161 253 BESS K CALCULATES THE MODIFIED BESSEL FUNCTIONS OF THE 3RD KIND OF ORDER L ( L = 0,. 35174 255 BESS KAPLUSN CALCULATES THE MODIFIED BESSEL FUNCTIONS OF THE 3RD KIND OF ORDER A+N, 35192 251 BESS KA01 CALCULATES THE MODIFIED BESSEL FUNCTIONS OF THE 3RD KIND OF ORDER A AND A+ 35191 251 BESS K01 CALCULATES THE MODIFIED BESSEL FUNCTIONS OF THE 3RD KIND OF ORDERS ZERO AND 35173 255 BESS PQA01 IS AN AUXILIARY PROCEDURE FOR THE COMPUTATION OF THE BESSEL FUNCTIONS FOR 35183 249 BESS PQ0 IS AN AUXILIARY PROCEDURE FOR THE COMPUTATION OF THE ORDINARY BESSEL FUNCTI 35165 253 BESS PQ1 IS AN AUXILIARY PROCEDURE FOR THE COMPUTATION OF THE ORDINARY BESSEL FUNCTI 35166 253 BESS Y CALCULATES THE ORDINARY BESSEL FUNCTIONS OF THE 2ND KIND OF ORDER L ( L = 0,. 35164 253 1KWICINDEX 31/12/79 PAGE 3 0 BESS YAPLUSN CALCULATES THE BESSEL FUNCTIONS OF THE 2ND KIND OF ORDER A+N, N=0,...,N 35182 249 BESS YA01 CALCULATES THE BESSEL FUNCTIONS OF THE 2ND KIND ( ALSO CALLED NEUMANN'S FU 35181 249 BESS Y01 CALCULATES THE ORDINARY BESSEL FUNCTIONS OF THE 2ND KIND ORDER ZERO AND ONE 35163 253 SS J1 CALCULATES THE ORDINARY BESSEL FUNCTION OF THE 1ST KIND OF ORDER ONE. 35161 253 SS I1 CALCULATES THE MODIFIED BESSEL FUNCTION OF THE 1ST KIND OF ORDER ONE. 35171 255 SS I1 CALCULATES THE MODIFIED BESSEL FUNCTION OF THE 1ST KIND OF ORDER ONE; THE RESULT IS MULTIPLIED BY EXP(-ABS(X 35176 255 SS J0 CALCULATES THE ORDINARY BESSEL FUNCTION OF THE 1ST KIND OF ORDER ZERO. 35160 253 SS I0 CALCULATES THE MODIFIED BESSEL FUNCTION OF THE 1ST KIND OF ORDER ZERO. 35170 255 SS I0 CALCULATES THE MODIFIED BESSEL FUNCTION OF THE 1ST KIND OF ORDER ZERO; THE RESULT IS MULTIPLIED BY EXP(-ABS( 35175 255 ULATES THE MODIFIED SPHERICAL BESSEL FUNCTIONS OF THE 1ST KIND MULTIPIED BY EXP(-X): I[K+.5](X)*SQRT(PI (2*X))*EXP 35154 247 BESS JAPLUSN CALCULATES THE BESSEL FUNCTIONS OF THE 1ST KIND OF ORDER A+K ( 0<=K<=N, 0<=A<1 ). 35180 249 PLUSN CALCULATES THE MODIFIED BESSEL FUNCTIONS OF THE 1ST KIND OF ORDER A+N, N=0,...,NMAX , A>=0 AND ARGUMENT X>=0 35190 251 PLUSN CALCULATES THE MODIFIED BESSEL FUNCTIONS OF THE 1ST KIND OF ORDER A+N, N=0,...,NMAX , A>=0 AND ARGUMENT X>=0 35193 251 ESS J CALCULATES THE ORDINARY BESSEL FUNCTIONS OF THE 1ST KIND OF ORDER L ( L = 0,...,N ). 35162 253 ESS I CALCULATES THE MODIFIED BESSEL FUNCTIONS OF THE 1ST KIND OF ORDER L ( L = 0,...,N ). 35172 255 ESS I CALCULATES THE MODIFIED BESSEL FUNCTIONS OF THE 1ST KIND OF ORDER L ( L = 0,...,N ); THE RESULT IS MULTIPLIE 35177 255 ULATES THE MODIFIED SPHERICAL BESSEL FUNCTIONS OF THE 1ST KIND: I[K+.5](X)*SQRT(PI (2*X)), K=0,...,N , WHERE I[K+. 35152 247 SS J CALCULATES THE SPHERICAL BESSEL FUNCTIONS OF THE 1ST KIND: J[K+.5](X)*SQRT(PI (2*X)), K=0,...,N , WHERE J[K+. 35150 247 BESS YA01 CALCULATES THE BESSEL FUNCTIONS OF THE 2ND KIND ( ALSO CALLED NEUMANN'S FUNCTIONS ) OF ORDER A AND 35181 249 BESS YAPLUSN CALCULATES THE BESSEL FUNCTIONS OF THE 2ND KIND OF ORDER A+N, N=0,...,NMAX , A>=0, AND ARGUMENT X>0 35182 249 ESS Y CALCULATES THE ORDINARY BESSEL FUNCTIONS OF THE 2ND KIND OF ORDER L ( L = 0,...,N ) WITH ARGUMENT X, X> 0. 35164 253 S Y01 CALCULATES THE ORDINARY BESSEL FUNCTIONS OF THE 2ND KIND ORDER ZERO AND ONE WITH ARGUMENT X; X > 0. 35163 253 ULATES THE MODIFIED SPHERICAL BESSEL FUNCTIONS OF THE 3RD KIND MULTIPLIED BY EXP(+X): K[I+.5](X)*SQRT(PI (2*X))*EX 35155 247 KA01 CALCULATES THE MODIFIED BESSEL FUNCTIONS OF THE 3RD KIND OF ORDER A AND A+1, A>=0 AND ARGUMENT X, X>0, MULTI 35194 251 KA01 CALCULATES THE MODIFIED BESSEL FUNCTIONS OF THE 3RD KIND OF ORDER A AND A+1, A>=0, AND ARGUMENT X, X>0. 35191 251 PLUSN CALCULATES THE MODIFIED BESSEL FUNCTIONS OF THE 3RD KIND OF ORDER A+N, N=0,...,NMAX , A>=0 AND ARGUMENT X>0 35195 251 PLUSN CALCULATES THE MODIFIED BESSEL FUNCTIONS OF THE 3RD KIND OF ORDER A+N, N=0,...,NMAX , A>=0, AND ARGUMENT X>0 35192 251 ESS K CALCULATES THE MODIFIED BESSEL FUNCTIONS OF THE 3RD KIND OF ORDER L ( L = 0,...,N ) WITH ARGUMENT X, X > 0. 35174 255 ESS K CALCULATES THE MODIFIED BESSEL FUNCTIONS OF THE 3RD KIND OF ORDER L ( L = 0,...,N ) WITH ARGUMENT X, X>0; TH 35179 255 S K01 CALCULATES THE MODIFIED BESSEL FUNCTIONS OF THE 3RD KIND OF ORDER ZERO AND ONE WITH ARGUMENT X, X>0; THE RES 35178 255 S K01 CALCULATES THE MODIFIED BESSEL FUNCTIONS OF THE 3RD KIND OF ORDERS ZERO AND ONE WITH ARGUMENT X, X > 0. 35173 255 ULATES THE MODIFIED SPHERICAL BESSEL FUNCTIONS OF THE 3RD KIND: K[I+.5](X)*SQRT(PI (2*X)), I=0,...,N , WHERE K[I+. 35153 247 SS Y CALCULATES THE SPHERICAL BESSEL FUNCTIONS OF THE 3RD KIND: Y[K+.5](X)*SQRT(PI (2*X)), K=0,...,N , WHERE Y[K+. 35151 247 SSZEROS CALCULATES ZEROS OF A BESSELFUNCTION (OF 1ST OR 2ND KIND) AND OF ITS DERIVATIVE. 35184 249 BESSZEROS CALCULATES ZEROS OF A BESSELFUNCTION (OF 1ST OR 2ND KIND) AND OF ITS DERIV 35184 249 CBETA COMPUTES THE INCOMPLETE BETA-FUNCTION I(X,P,Q); 0 <= X <= 1, P > 0, Q > 0. 35050 187 IBPPLUSN COMPUTES INCOMPLETE BETA-FUNCTION RATIOS I(X,P+N,Q) FOR N = 0 (1) NMAX, 0 <= X <= 1, P > 0, Q > 0. 35051 187 IBQPLUSN COMPUTES INCOMPLETE BETA-FUNCTION RATIOS I(X,P,Q+N) FOR N = 0 (1) NMAX, 0 <= X <= 1, P > 0, Q > 0. 35052 187 THE AIRY FUNCTIONS AI(Z) AND BI(Z) AND THEIR DERIVATIVES. 35140 243 REABID TRANSFORMS A MATRIX TO BIDIAGONAL FORM, BY PREMULTIPLYING AND POSTMULTIPLYING WITH ORTHOGONAL MATRICES. 34260 109 ATES THE SINGULAR VALUES OF A BIDIAGONAL MATRIX. 34270 125 E REAL EIGENVALUES ( ELLIPTIC BOUNDARY VALUE PROBLEM ) BY MEANS OF A NON-STATIONARY 2ND ORDER ITERATIVE METHOD. 33170 225 E REAL EIGENVALUES ( ELLIPTIC BOUNDARY VALUE PROBLEM ) BY MEANS OF A NON-STATIONARY 2ND ORDER ITERATIVE METHOD, WH 33171 225 FERENTIAL EQUATIONS ( INITIAL BOUNDARY-VALUE PROBLEM ) BY MEANS OF A STABILIZED RUNGE-KUTTA METHOD, IN PARTICULAR 33066 295 SYM SOLVES A LINEAR TWO-POINT BOUNDARY-VALUE PROBLEM FOR A FOURTH ORDER SELF-ADJOINT DIFFERENTIAL EQUATION WITH DI 33303 265 KEW SOLVES A LINEAR TWO-POINT BOUNDARY-VALUE PROBLEM FOR A SECOND ORDER DIFFERENTIAL EQUATION BY A RITZ-GALERKIN M 33302 263 KEW SOLVES A LINEAR TWO POINT BOUNDARY-VALUE PROBLEM FOR A SECOND ORDER DIFFERENTIAL EQUATION WITH SPHERICAL COORD 33314 317 SYM SOLVES A LINEAR TWO-POINT BOUNDARY-VALUE PROBLEM FOR A SECOND ORDER SELF-ADJOINT DIFFERENTIAL EQUATION BY A RI 33300 261 LAG SOLVES A LINEAR TWO-POINT BOUNDARY-VALUE PROBLEM FOR A SECOND ORDER SELF-ADJOINT DIFFERENTIAL EQUATION BY A RI 33301 261 HER SOLVES A LINEAR TWO-POINT BOUNDARY-VALUE PROBLEM FOR A SECOND ORDER SELF-ADJOINT DIFFERENTIAL EQUATION WITH SP 33308 261 BOUNDS CALCULATES THE ERROR IN APPROXIMATED ZEROS OF A POLYNOMIAL WITH REAL COEFFICI 34502 311 CARPOL TRANSFORMS THE CARTESIAN COORDINATES OF A COMPLEX NUMBER INTO POLAR COORDINAT 34344 35 CARPOL TRANSFORMS THE CARTESIAN COORDINATES OF A COMPLEX NUMBER INTO POLAR COORDINATES. 34344 35 CHEPOL EVALUATES A CHEBYSHEV POLYNOMIAL. 31042 229 SUM EVALUATES A FINITE SUM OF CHEBYSHEV POLYNOMIALS OF ODD DEGREE. 31059 229 ALLCHEPOL EVALUATES ALL CHEBYSHEV POLYNOMIALS UP TO A CERTAIN DEGREE. 31043 229 SUM EVALUATES A FINITE SUM OF CHEBYSHEV POLYNOMIALS. 31046 229 NDEFINITE INTEGRAL OF A GIVEN CHEBYSHEV SERIES. 31248 205 1KWICINDEX 31/12/79 PAGE 4 0 CHEPOLSER EVALUATES A CHEBYSHEV SERIES. 31046 229 RMS A POLYNOMIAL FROM SHIFTED CHEBYSHEV SUM FORM INTO POWER SUM FORM. 31054 43 OLYNOMIAL FROM POWER SUM INTO CHEBYSHEV SUM FORM. 31051 43 L FROM POWER SUM INTO SHIFTED CHEBYSHEV SUM FORM. 31053 43 TRANSFORMS A POLYNOMIAL FROM CHEBYSHEV SUM INTO POWER SUM FORM. 31052 43 CHEPOL EVALUATES A CHEBYSHEV POLYNOMIAL. 31042 229 CHEPOLSER EVALUATES A CHEBYSHEV SERIES. 31046 229 CHEPOLSUM EVALUATES A FINITE SUM OF CHEBYSHEV POLYNOMIALS. 31046 229 CHLDECBND PERFORMS THE CHOLESKY DECOMPOSITION OF A POSITIVE DEFINITE SYMMETRIC BAND 34330 85 CHLDECINV1 CALCULATES THE INVERSE OF A POSITIVE DEFINITE SYMMETRIC MATRIX BY CHOLESK 34403 61 CHLDECINV2 CALCULATES THE INVERSE OF A POSITIVE DEFINITE SYMMETRIC MATRIX BY CHOLESK 34402 61 CHLDECSOLBND SOLVES A POSITIVE DEFINITE SYMMETRIC LINEAR SYSTEM AND PERFORMS THE TRI 34333 89 CHLDECSOL1 SOLVES A POSITIVE DEFINITE SYMMETRIC SYSTEM OF LINEAR EQUATIONS BY CHOLES 34393 59 CHLDECSOL2 SOLVES A POSITIVE DEFINITE SYMMETRIC SYSTEM OF LINEAR EQUATIONS BY CHOLES 34392 59 CHLDEC1 CALCULATES THE CHOLESKY DECOMPOSITION OF A POSITIVE DEFINITE SYMMETRIC MATRI 34311 55 CHLDEC2 CALCULATES THE CHOLESKY DECOMPOSITION OF A POSITIVE DEFINITE SYMMETRIC MATRI 34310 55 CHLDETERMBND CALCULATES THE DETERMINANT OF A POSITIVE DEFINITE SYMMETRIC BAND MATRIX 34331 87 CHLDETERM1 CALCULATES THE DETERMINANT OF A POSITIVE DEFINITE SYMMETRIC MATRIX, THE C 34313 57 CHLDETERM2 CALCULATES OF THE DETERMINANT OF A POSITIVE DEFINITE SYMMETRIC MATRIX, TH 34312 57 CHLINV1 CALCULATES THE INVERSE OF A POSITIVE DEFINITE SYMMETRIC MATRIX, IF THE MATRI 34401 61 CHLINV2 CALCULATES THE INVERSE OF A POSITIVE DEFINITE SYMMETRIC MATRIX, IF THE MATRI 34400 61 CHLSOLBND SOLVES A POSITIVE DEFINITE SYMMETRIC LINEAR SYSTEM, THE TRIANGULAR DECOMPO 34332 89 CHLSOL1 SOLVES A SYSTEM OF LINEAR EQUATIONS IF THE COEFFICIENT MATRIX HAS BEEN DECOM 34391 59 CHLSOL2 SOLVES A SYSTEM OF LINEAR EQUATIONS IF THE COEFFICIENT MATRIX HAS BEEN DECOM 34390 59 CHLDECBND PERFORMS THE CHOLESKY DECOMPOSITION OF A POSITIVE DEFINITE SYMMETRIC BAND MATRIX. 34330 85 CHLDEC1 CALCULATES THE CHOLESKY DECOMPOSITION OF A POSITIVE DEFINITE SYMMETRIC MATRIX WHOSE UPPER TRIANGLE 34311 55 CHLDEC2 CALCULATES THE CHOLESKY DECOMPOSITION OF A POSITIVE DEFINITE SYMMETRIC MATRIX WH0SE UPPER TRIANGLE 34310 55 E TRIANGULAR DECOMPOSITION BY CHOLESKY'S METHOD. 34333 89 SYSTEM OF LINEAR EQUATIONS BY CHOLESKY'S SQUARE ROOT METHOD; THE COEFFICIENT MATRIX SHOULD BE GIVEN COLUMNWISE IN 34393 59 SYSTEM OF LINEAR EQUATIONS BY CHOLESKY'S SQUARE ROOT METHOD; THE COEFFICIENT MATRIX SHOULD BE GIVEN IN THE UPPERTR 34392 59 CHSH2 FINDS A COMPLEX ROTATION MATRIX. 34611 287 CHSPOL TRANSFORMS A POLYNOMIAL FROM CHEBYSHEV SUM INTO POWER SUM FORM. 31052 43 COLCST MULTIPLIES A COLUMN VECTOR BY A CONSTANT. 31131 5 TAMMAT := SCALAR PRODUCT OF A COLUMN VECTOR AND A COLUMN VECTOR. 34014 7 TAMVEC := SCALAR PRODUCT OF A COLUMN VECTOR AND A VECTOR. 34012 7 OMCOLCST MULTIPLIES A COMPLEX COLUMN VECTOR BY A COMPLEX NUMBER. 34352 21 COLCST MULTIPLIES A COLUMN VECTOR BY A CONSTANT. 31131 5 ES A CONSTANT MULTIPLIED BY A COLUMN VECTOR INTO A COLUMN VECTOR. 31022 5 DUPVECCOL COPIES A COLUMN VECTOR INTO A VECTOR. 31033 3 LMCOL ADDS A CONSTANT TIMES A COLUMN VECTOR TO A COLUMN VECTOR. 34023 9 OMPLEX NUMBER TIMES A COMPLEX COLUMN VECTOR TO A COMPLEX COLUMN VECTOR. 34377 25 OMPLEX NUMBER TIMES A COMPLEX COLUMN VECTOR TO A COMPLEX VECTOR. 34376 25 OWCOL ADDS A CONSTANT TIMES A COLUMN VECTOR TO A ROW VECTOR. 34028 9 ECCOL ADDS A CONSTANT TIMES A COLUMN VECTOR TO A VECTOR. 34021 9 ULATES THE INFINITY-NORM OF A COLUMN VECTOR. 31063 241 OL CALCULATES THE 1-NORM OF A COLUMN VECTOR. 31067 241 TES THE SCALAR PRODUCT OF TWO COLUMN VECTORS BY DOUBLE PRECISION ARITHMETIC. 34414 285 SCLCOM NORMALIZES THE COLUMNS OF A COMPLEX MATRIX. 34360 29 REASCL NORMALIZES THE COLUMNS OF A TWO-DIMENSIONAL ARRAY. 34183 17 COMABS CALCULATES THE MODULUS OF A COMPLEX NUMBER. 34340 35 COMCOLCST MULTIPLIES A COMPLEX COLUMN VECTOR BY A COMPLEX NUMBER. 34352 21 COMDIV CALCULATES THE QUOTIENT OF TWO COMPLEX NUMBERS. 34342 37 COMEIGVAL CALCULATES THE EIGENVALUES OF A MATRIX. 34192 117 COMEIG1 CALCULATES THE EIGENVALUES AND EIGENVECTORS OF A MATRIX. 34194 117 COMEUCNRM CALCULATES THE EUCLIDEAN NORM OF A COMPLEX MATRIX WITH LW LOWER CODIAGONAL 34359 31 COMFOUSER EVALUATES A COMPLEX FOURIER SERIES WITH REAL COEFFICIENTS. 31095 203 1KWICINDEX 31/12/79 PAGE 5 0 COMFOUSER1 EVALUATES A COMPLEX FOURIER SERIES. 31096 203 COMFOUSER2 EVALUATES A COMPLEX FOURIER SERIES. 31097 203 COMKWD CALCULATES THE ROOTS OF A QUADRATIC EQUATION WITH COMPLEX COEFFICIENTS. 34345 129 COMMATVEC CALCULATES THE SCALAR PRODUCT OF A COMPLEX ROW VECTOR AND A COMPLEX VECTOR 34354 23 COMMUL CALCULATES THE PRODUCT OF TWO COMPLEX NUMBERS. 34341 37 HE ERROR FUNCTION ( ERF ) AND COMPLEMENTARY ERROR FUNCTION ( ERFC ) FOR A REAL ARGUMENT. 35021 227 A COMBINATION OF PARTIAL AND COMPLETE PIVOTING. 34231 45 OF A QUADRATIC EQUATION WITH COMPLEX COEFFICIENTS. 34345 129 COMCOLCST MULTIPLIES A COMPLEX COLUMN VECTOR BY A COMPLEX NUMBER. 34352 21 ADDS A COMPLEX NUMBER TIMES A COMPLEX COLUMN VECTOR TO A COMPLEX COLUMN VECTOR. 34377 25 ADDS A COMPLEX NUMBER TIMES A COMPLEX COLUMN VECTOR TO A COMPLEX VECTOR. 34376 25 ROTCOMCOL REPLACES TWO COMPLEX COLUMN VECTORS X AND Y BY TWO COMPLEX VECTORS CX + SY AND CY - SX. 34357 287 TRANSFORMATION FOLLOWED BY A COMPLEX DIAGONAL TRANSFORMATION INTO A SIMILAR UNITARY UPPER-HESSENBERG MATRIX WITH 34366 107 CTOR CORRESPONDING TO A GIVEN COMPLEX EIGENVALUE OF A REAL UPPER-HESSENBERG MATRIX BY MEANS OF INVERSE ITERATION. 34191 115 ALQRI CALCULATES THE REAL AND COMPLEX EIGENVALUES OF A REAL UPPER-HESSENBERG MATRIX BY MEANS OF DOUBLE QR ITERATIO 34190 115 NSFORMS THE EIGENVECTORS OF A COMPLEX EQUILIBRATED ( BY EQILBRCOM ) MATRIX INTO THE EIGENVECTORS OF THE ORIGINAL M 34362 99 COMFOUSER EVALUATES A COMPLEX FOURIER SERIES WITH REAL COEFFICIENTS. 31095 203 COMFOUSER1 EVALUATES A COMPLEX FOURIER SERIES. 31096 203 COMFOUSER2 EVALUATES A COMPLEX FOURIER SERIES. 31097 203 LCULATES THE EIGENVALUES OF A COMPLEX HERMITIAN MATRIX. 34368 119 NVALUES AND EIGENVECTORS OF A COMPLEX HERMITIAN MATRIX. 34369 119 LCULATES THE EIGENVALUES OF A COMPLEX HERMITIAN MATRIX. 34370 119 NVALUES AND EIGENVECTORS OF A COMPLEX HERMITIAN MATRIX. 34371 119 HSHCOMHES TRANSFORMS A COMPLEX MATRIX BY MEANS OF HOUSEHOLDER'S TRANSFORMATION FOLLOWED BY A COMPLEX DIAGON 34366 107 HSHCOMPRD PREMULTIPLIES A COMPLEX MATRIX WITH A COMPLEX HOUSEHOLDER MATRIX. 34356 23 LATES THE EUCLIDEAN NORM OF A COMPLEX MATRIX WITH LW LOWER CODIAGONALS. 34359 31 M NORMALIZES THE COLUMNS OF A COMPLEX MATRIX. 34360 29 EQILBRCOM EQUILIBRATES A COMPLEX MATRIX. 34361 99 LCULATES THE EIGENVALUES OF A COMPLEX MATRIX. 34374 123 NVECTORS AND EIGENVALUES OF A COMPLEX MATRIX. 34375 123 HE CARTESIAN COORDINATES OF A COMPLEX NUMBER INTO POLAR COORDINATES. 34344 35 S CALCULATES THE MODULUS OF A COMPLEX NUMBER. 34340 35 LCULATES THE SQUARE ROOT OF A COMPLEX NUMBER. 34343 35 CALCULATES THE PRODUCT OF TWO COMPLEX NUMBERS. 34341 37 ALCULATES THE QUOTIENT OF TWO COMPLEX NUMBERS. 34342 37 CHSH2 FINDS A COMPLEX ROTATION MATRIX. 34611 287 LATES THE SCALAR PRODUCT OF A COMPLEX ROW VECTOR AND A COMPLEX VECTOR. 34354 23 COMROWCST MULTIPLIES A COMPLEX ROW VECTOR BY A COMPLEX NUMBER. 34353 21 ROTCOMROW REPLACES TWO COMPLEX ROW VECTORS X AND Y BY TWO COMPLEX VECTORS CX + SY AND CY - SX. 34358 287 LCULATES THE EIGENVALUES OF A COMPLEX UPPER-HESSENBERG MATRIX WITH A REAL SUBDIAGONAL. 34372 121 TORS AND THE EIGENVALUES OF A COMPLEX UPPER-HESSENBERG MATRIX. 34373 121 HSHCOMCOL TRANSFORMS A COMPLEX VECTOR INTO A VECTOR PROPORTIONAL TO A UNIT VECTOR. 34355 23 ADDS A COMPLEX NUMBER TIMES A COMPLEX VECTOR TO A COMPLEX ROW VECTOR. 34378 25 COMROWCST MULTIPLIES A COMPLEX ROW VECTOR BY A COMPLEX NUMBER. 34353 21 COMSCL NORMALIZES REAL AND COMPLEX EIGENVECTORS. 34193 29 COMSQRT CALCULATES THE SQUARE ROOT OF A COMPLEX NUMBER. 34343 35 COMVALQRI CALCULATES THE REAL AND COMPLEX EIGENVALUES OF A REAL UPPER-HESSENBERG MAT 34190 115 COMVECHES CALCULATES THE EIGENVECTOR CORRESPONDING TO A GIVEN COMPLEX EIGENVALUE OF 34191 115 CONJ GRAD SOLVES A POSITIVE DEFINITE SYMMETRIC SYSTEM OF LINEAR EQUATIONS BY THE MET 34220 95 AR EQUATIONS BY THE METHOD OF CONJUGATE GRADIENTS. 34220 95 MULCOL STORES A CONSTANT MULTIPLIED BY A COLUMN VECTOR INTO A COLUMN VECTOR. 31022 5 MULROW STORES A CONSTANT MULTIPLIED BY A ROW VECTOR INTO A ROW VECTOR. 31021 5 MULVEC STORES A CONSTANT MULTIPLIED BY A VECTOR INTO A VECTOR. 31020 5 ELMCOL ADDS A CONSTANT TIMES A COLUMN VECTOR TO A COLUMN VECTOR. 34023 9 ELMROWCOL ADDS A CONSTANT TIMES A COLUMN VECTOR TO A ROW VECTOR. 34028 9 ELMVECCOL ADDS A CONSTANT TIMES A COLUMN VECTOR TO A VECTOR. 34021 9 1KWICINDEX 31/12/79 PAGE 6 0 ELMCOLROW ADDS A CONSTANT TIMES A ROW VECTOR TO A COLUMN VECTOR. 34029 9 ELMROW ADDS A CONSTANT TIMES A ROW VECTOR TO A ROW VECTOR. 34024 9 MAXELMROW ADDS A CONSTANT TIMES A ROW VECTOR TO A ROW VECTOR, MAXELMROW:=THE SUBSCRIPT OF AN ELEMENT 34025 9 ELMVECROW ADDS A CONSTANT TIMES A ROW VECTOR TO A VECTOR. 34026 9 ELMCOLVEC ADDS A CONSTANT TIMES A VECTOR TO A COLUMN VECTOR. 34022 9 ELMROWVEC ADDS A CONSTANT TIMES A VECTOR TO A ROW VECTOR. 34027 9 ELMVEC ADDS A CONSTANT TIMES A VECTOR TO A VECTOR. 34020 9 T SQUARES PROBLEM WITH LINEAR CONSTRAINTS. 34137 309 T SQUARES PROBLEM WITH LINEAR CONSTRAINTS, IF THE MATRIX HAS BEEN DECOMPOSED BY LSQDECOMP. 34138 309 FRAC CALCULATES A TERMINATING CONTINUED FRACTION. 35083 41 LNGREATODECI CONVERTS A DOUBLE PRECISION NUMBER TO ITS DECIMAL REPRESENTATION. 31100 289 RPOL TRANSFORMS THE CARTESIAN COORDINATES OF A COMPLEX NUMBER INTO POLAR COORDINATES. 34344 35 DUPVECCOL COPIES A COLUMN VECTOR INTO A VECTOR. 31033 3 DUPMAT COPIES A MATRIX INTO ANOTHER MATRIX. 31035 3 DUPVECROW COPIES A ROW VECTOR INTO A VECTOR. 31031 3 DUPCOLVEC COPIES A VECTOR INTO A COLUMN VECTOR. 31034 3 DUPROWVEC COPIES A VECTOR INTO A ROW VECTOR. 31032 3 DUPVEC COPIES A VECTOR INTO ANOTHER VECTOR. 31030 3 COSH COMPUTES THE HYPERBOLIC COSINE FOR A REAL ARGUMENT X. 35112 181 COSH COMPUTES THE HYPERBOLIC COSINE FOR A REAL ARGUMENT X. 35112 181 MPUTES THE INVERSE HYPERBOLIC COSINE FOR A REAL ARGUMENT X. 35115 181 E SINE INTEGRAL SI(X) AND THE COSINE INTEGRAL CI(X). 35084 185 COSSER EVALUATES A COSINE SERIES. 31091 203 COSSER EVALUATES A COSINE SERIES. 31091 203 DAVUPD ADDS A RANK-2 MATRIX TO A SYMMETRIC MATRIX. 34212 139 DEC PERFORMS A TRIANGULAR DECOMPOSITION WITH PARTIAL PIVOTING. 34300 45 DECBND PERFORMS A TRIANGULAR DECOMPOSITION OF A BAND MATRIX, USING PARTIAL PIVOTING. 34320 75 OUBLE PRECISION NUMBER TO ITS DECIMAL REPRESENTATION. 31100 289 DECINV CALCULATES THE INVERSE OF A MATRIX WHOSE ORDER IS SMALL RELATIVE TO THE NUMBE 34302 51 MATRIX HAS BEEN TRIANGULARLY DECOMPOSED BY DEC. 34051 49 GSSNRI PERFORMS A TRIANGULAR DECOMPOSITION AND CALCULATES THE 1-NORM OF THE INVERSE MATRIX. 34252 45 ALCULATES THE SINGULAR VALUES DECOMPOSITION AND SOLVES AN OVERDETERMINED SYSTEM OF LINEAR EQUATIONS. 34281 67 ALCULATES THE SINGULAR VALUES DECOMPOSITION AND SOLVES AN UNDERDETERMINED SYSTEM OF LINEAR EQUATIONS. 34283 69 YMMETRIC MATRIX,THE SYMMETRIC DECOMPOSITION BEING GIVEN. 34294 305 DECBND PERFORMS A TRIANGULAR DECOMPOSITION OF A BAND MATRIX, USING PARTIAL PIVOTING. 34320 75 LSQDECOMP COMPUTES THE QR- DECOMPOSITION OF A LINEAR LEAST SQUARES PROBLEM WITH LINEAR CONSTRAINTS. 34137 309 ALCULATES THE SINGULAR VALUES DECOMPOSITION OF A MATRIX OF WHICH THE BIDIAGONAL AND THE PRE- AND POSTMULTIPLYING M 34271 125 LDECBND PERFORMS THE CHOLESKY DECOMPOSITION OF A POSITIVE DEFINITE SYMMETRIC BAND MATRIX. 34330 85 LDEC1 CALCULATES THE CHOLESKY DECOMPOSITION OF A POSITIVE DEFINITE SYMMETRIC MATRIX WHOSE UPPER TRIANGLE IS GIVEN 34311 55 LDEC2 CALCULATES THE CHOLESKY DECOMPOSITION OF A POSITIVE DEFINITE SYMMETRIC MATRIX WH0SE UPPER TRIANGLE IS GIVEN 34310 55 SYM2 CALCULATES THE SYMMETRIC DECOMPOSITION OF A SYMMETRIC MATRIX. 34291 303 DECTRI PERFORMS A TRIANGULAR DECOMPOSITION OF A TRIDIAGONAL MATRIX. 34423 81 CTRIPIV PERFORMS A TRIANGULAR DECOMPOSITION OF A TRIDIAGONAL MATRIX, USING PARTIAL PIVOTING. 34426 81 ALCULATES THE SINGULAR VALUES DECOMPOSITION U * S * V', WITH U AND V ORTHOGONAL AND S POSITIVE DIAGONAL. 34273 127 GSSELM PERFORMS A TRIANGULAR DECOMPOSITION WITH A COMBINATION OF PARTIAL AND COMPLETE PIVOTING. 34231 45 DEC PERFORMS A TRIANGULAR DECOMPOSITION WITH PARTIAL PIVOTING. 34300 45 S AND PERFORMS THE TRIANGULAR DECOMPOSITION WITH PARTIAL PIVOTING. 34428 83 S AND PERFORMS THE TRIANGULAR DECOMPOSITION WITHOUT PIVOTING. 34425 83 LINEAR EQUATIONS BY SYMMETRIC DECOMPOSITION. 34293 307 GSSERB PERFORMS A TRIANGULAR DECOMPOSTION OF THE MATRIX OF A SYSTEM OF LINEAR EQUATIONS AND CALCULATES AN UPPERBO 34242 45 DECSOL SOLVES A SYSTEM OF LINEAR EQUATIONS WHOSE ORDER IS SMALL RELATIVE TO THE NUMB 34301 49 DECSOLBND SOLVES A SYSTEM OF LINEAR EQUATIONS BY GAUSSIAN ELIMINATION WITH PARTIAL P 34322 79 DECSOLSYMTRI SOLVES A SYMMETRIC TRIDIAGONAL SYSTEM OF LINEAR EQUATIONS AND PERFORMS 34422 93 DECSOLSYM2 SOLVES A SYMMETRIC SYSTEM OF LINEAR EQUATIONS BY SYMMETRIC DECOMPOSITION. 34293 307 DECSOLTRI SOLVES A TRIDIAGONAL SYSTEM OF LINEAR EQUATIONS AND PERFORMS THE TRIANGULA 34425 83 DECSOLTRIPIV SOLVES A TRIDIAGONAL SYSTEM OF LINEAR EQUATIONS AND PERFORMS THE TRIANG 34428 83 1KWICINDEX 31/12/79 PAGE 7 0 DECSYMTRI PERFORMS THE TRIANGULAR DECOMPOSITION OF A SYMMETRIC TRIDIAGONAL MATRIX. 34420 91 DECSYM2 CALCULATES THE SYMMETRIC DECOMPOSITION OF A SYMMETRIC MATRIX. 34291 303 DECTRI PERFORMS A TRIANGULAR DECOMPOSITION OF A TRIDIAGONAL MATRIX. 34423 81 DECTRIPIV PERFORMS A TRIANGULAR DECOMPOSITION OF A TRIDIAGONAL MATRIX, USING PARTIAL 34426 81 QADRAT COMPUTES THE DEFINITE INTEGRAL OF A FUNCTION OF ONE VARIABLE OVER A FINITE INTERVAL. 32070 133 INTEGRAL CALCULATES THE DEFINITE INTEGRAL OF A FUNCTION OF ONE VARIABLE OVER A FINITE OR INFINITE INTERVAL O 32051 135 TRICUB COMPUTES THE DEFINITE INTEGRAL OF A FUNCTION OF TWO VARIABLES OVER A TRIANGULAR DOMAIN. 32075 257 LUATES THE FIRST K NORMALIZED DERIVATIVES OF A POLYNOMIAL ( I.E. J-TH DERIVATIVE (J FACTORIAL) ), J=0,1,...,K <= D 31242 245 DERPOL EVALUATES THE FIRST K DERIVATIVES OF A POLYNOMIAL. 31243 245 DERPOL EVALUATES THE FIRST K DERIVATIVES OF A POLYNOMIAL. 31243 245 DETERM CALCULATES THE DETERMINANT OF A TRIANGULARLY DECOMPOSED MATRIX. 34303 47 DETERMBND CALCULATES THE DETERMINANT OF A BAND MATRIX. 34321 77 DETERMBND CALCULATES THE DETERMINANT OF A BAND MATRIX. 34321 77 CHLDETERM2 CALCULATES OF THE DETERMINANT OF A POSITIVE DEFINITE SYMMETRIC MATRIX, THE CHOLESKY DECOMPOSITION BEIN 34312 57 CHLDETERM1 CALCULATES THE DETERMINANT OF A POSITIVE DEFINITE SYMMETRIC MATRIX, THE CHOLESKY DECOMPOSITION BEIN 34313 57 DETERMSYM2 CALCULATES THE DETERMINANT OF A SYMMETRIC MATRIX,THE SYMMETRIC DECOMPOSITION BEING GIVEN. 34294 305 DETERM CALCULATES THE DETERMINANT OF A TRIANGULARLY DECOMPOSED MATRIX. 34303 47 DETERMSYM2 CALCULATES THE DETERMINANT OF A SYMMETRIC MATRIX,THE SYMMETRIC DECOMPOSIT 34294 305 BRATES A MATRIX BY MEANS OF A DIAGONAL SIMILARITY TRANSFORMATION. 34173 97 RMATION FOLLOWED BY A COMPLEX DIAGONAL TRANSFORMATION INTO A SIMILAR UNITARY UPPER-HESSENBERG MATRIX WITH A REAL N 34366 107 LNGINTSUBTRACT COMPUTES THE DIFFERENCE OF LONG NONNEGATIVE INTEGERS. 31201 201 INTEGRATES A SINGLE 2ND ORDER DIFFERENTIAL EQUATION ( INITIAL VALUE PROBLEM ) BY MEANS OF A 5TH ORDER RUNGE-KUTTA 33012 171 RK3 SOLVES A SINGLE 2ND ORDER DIFFERENTIAL EQUATION ( INITIAL VALUE PROBLEM ) BY MEANS OF A 5TH ORDER RUNGE-KUTTA 33014 175 R A SECOND ORDER SELF-ADJOINT DIFFERENTIAL EQUATION BY A RITZ-GALERKIN METHOD. 33300 261 UE PROBLEM FOR A SECOND ORDER DIFFERENTIAL EQUATION BY A RITZ-GALERKIN METHOD. 33302 263 R A SECOND ORDER SELF-ADJOINT DIFFERENTIAL EQUATION BY A RITZ-GALERKIN METHOD; THE COEFFICIENT OF Y" IS SUPPOSED T 33301 261 RK1 SOLVES A SINGLE 1ST ORDER DIFFERENTIAL EQUATION BY MEANS OF A 5TH ORDER RUNGE-KUTTA METHOD. 33010 141 K4A SOLVES A SINGLE 1ST ORDER DIFFERENTIAL EQUATION BY MEANS OF A 5TH ORDER RUNGE-KUTTA METHOD; THE INTEGRATION IS 33016 145 R A FOURTH ORDER SELF-ADJOINT DIFFERENTIAL EQUATION WITH DIRICHLET BOUNDARY CONDITIONS BY A RITZ-GALERKIN METHOD. 33303 265 R A SECOND ORDER SELF-ADJOINT DIFFERENTIAL EQUATION WITH SPHERICAL COORDINATES BY A RITZ-GALERKIN METHOD. 33308 261 UE PROBLEM FOR A SECOND ORDER DIFFERENTIAL EQUATION WITH SPHERICAL COORDINATES BY A RITZ-GALERKIN METHOD AND NEWTO 33314 317 SOLVES A SYSTEM OF 1ST ORDER DIFFERENTIAL EQUATIONS ( INITIAL BOUNDARY-VALUE PROBLEM ) BY MEANS OF A STABILIZED R 33066 295 SOLVES A SYSTEM OF 1ST ORDER DIFFERENTIAL EQUATIONS ( INITIAL VALUE PROBLEM ) BY MEANS OF A STABILIZED RUNGE-KUTT 33061 155 SOLVES A SYSTEM OF 1ST ORDER DIFFERENTIAL EQUATIONS ( INITIAL VALUE PROBLEM ) BY MEANS OF A VARIABLE ORDER MULTIS 33080 151 SOLVES A SYSTEM OF 1ST ORDER DIFFERENTIAL EQUATIONS ( INITIAL VALUE PROBLEM ) BY MEANS OF A VARIABLE ORDER TAYLOR 33050 169 SOLVES A SYSTEM OF 1ST ORDER DIFFERENTIAL EQUATIONS ( INITIAL VALUE PROBLEM ) BY MEANS OF A 1ST, 2ND OR 3RD ORDER 33070 157 SOLVES A SYSTEM OF 1ST ORDER DIFFERENTIAL EQUATIONS ( INITIAL VALUE PROBLEM ) BY MEANS OF A 1ST, 2ND OR 3RD ORDER 33040 167 UTONOMOUS SYSTEM OF 1ST ORDER DIFFERENTIAL EQUATIONS ( INITIAL VALUE PROBLEM ) BY MEANS OF A 3RD ORDER MULTISTEP M 33191 223 UTONOMOUS SYSTEM OF 1ST ORDER DIFFERENTIAL EQUATIONS ( INITIAL VALUE PROBLEM ) BY MEANS OF A 3RD ORDER, EXPONENTIA 33160 159 SOLVES A SYSTEM OF 1ST ORDER DIFFERENTIAL EQUATIONS ( INITIAL VALUE PROBLEM ) BY MEANS OF A 5TH ORDER RUNGE-KUTTA 33033 143 SOLVES A SYSTEM OF 1ST ORDER DIFFERENTIAL EQUATIONS ( INITIAL VALUE PROBLEM ) BY MEANS OF A 5TH ORDER RUNGE-KUTTA 33017 147 SOLVES A SYSTEM OF 1ST ORDER DIFFERENTIAL EQUATIONS ( INITIAL VALUE PROBLEM ) BY MEANS OF A 5TH ORDER RUNGE-KUTTA 33018 149 SOLVES A SYSTEM OF 2ND ORDER DIFFERENTIAL EQUATIONS ( INITIAL VALUE PROBLEM ) BY MEANS OF A 5TH ORDER RUNGE-KUTTA 33013 173 SOLVES A SYSTEM OF 2ND ORDER DIFFERENTIAL EQUATIONS ( INITIAL VALUE PROBLEM ) BY MEANS OF A 5TH ORDER RUNGE-KUTTA 33015 177 UTONOMOUS SYSTEM OF 1ST ORDER DIFFERENTIAL EQUATIONS ( INITIAL VALUE PROBLEM ) BY MEANS OF AN EXPONENTIALLY FITTED 33120 161 UTONOMOUS SYSTEM OF 1ST ORDER DIFFERENTIAL EQUATIONS ( INITIAL VALUE PROBLEM ) BY MEANS OF AN IMPLICIT, EXPONENTIA 33131 165 UTONOMOUS SYSTEM OF 1ST ORDER DIFFERENTIAL EQUATIONS ( INITIAL VALUE PROBLEM ) BY MEANS OF AN IMPLICIT, EXPONENTIA 33132 221 UTONOMOUS SYSTEM OF 1ST ORDER DIFFERENTIAL EQUATIONS ( INITIAL VALUE PROBLEM ) BY MEANS OF THE IMPLICIT MIDPOINT R 33135 231 SOLVES A SYSTEM OF 1ST ORDER DIFFERENTIAL EQUATIONS ( INITIAL VALUE PROBLEM ); BY EXTRAPOLATION, APPLIED TO LOW O 33180 153 SIONAL TIME-DEPENDENT PARTIAL DIFFERENTIAL EQUATIONS. 33066 295 TERS IN A SYSTEM OF 1ST ORDER DIFFERENTIAL EQUATIONS; THE UNKNOWN VARIABLES MAY APPEAR NON-LINEARLY BOTH IN THE DI 34444 259 DIFFSYS SOLVES A SYSTEM OF 1ST ORDER DIFFERENTIAL EQUATIONS ( INITIAL VALUE PROBLEM 33180 153 NT DIFFERENTIAL EQUATION WITH DIRICHLET BOUNDARY CONDITIONS BY A RITZ-GALERKIN METHOD. 33303 265 LNGDIV DIVIDES TWO DOUBLE PRECISION NUMBERS. 31108 271 DPDIV DIVIDES TWO SINGLE PRECISION NUMBERS TO A DOUBLE PRECISION QUOTIENT. 31104 271 ST VECTOR CHANGE LINEARLY, BY DOUBLE LENGTH ARITHMETIC. 34416 285 LAR PRODUCT OF TWO VECTORS BY DOUBLE LENTGH ARITHMETIC. 34410 285 LNGFULMATVEC CALCULATES BY DOUBLE PRECISION ARITHMETIC THE PRODUCT A * B, WHERE A IS A GIVEN MATRIX AND B IS A 31505 285 1KWICINDEX 31/12/79 PAGE 8 0 LNGFULSYMMATVEC CALCULATES BY DOUBLE PRECISION ARITHMETIC THE PRODUCT A * B, WHERE A IS A SYMMETRIC MATRIX, WHOSE 31507 285 LNGFULTAMVEC CALCULATES BY DOUBLE PRECISION ARITHMETIC THE PRODUCT A' * B, WHERE A' IS THE TRANSPOSED OF THE MA 31506 285 LNGRESVEC CALCULATES BY DOUBLE PRECISION ARITHMETIC THE RESIDUAL VECTOR A * B + X * C, WHERE A IS A GIVEN MA 31508 285 LNGSYMRESVEC CALCULATES BY DOUBLE PRECISION ARITHMETIC THE RESIDUAL VECTOR A * B + X * C, WHERE A IS A SYMMETRI 31509 285 A VECTOR AND A ROW VECTOR BY DOUBLE PRECISION ARITHMETIC. 34411 285 VECTOR AND A COLUMN VECTOR BY DOUBLE PRECISION ARITHMETIC. 34412 285 VECTOR AND A COLUMN VECTOR BY DOUBLE PRECISION ARITHMETIC. 34413 285 DUCT OF TWO COLUMN VECTORS BY DOUBLE PRECISION ARITHMETIC. 34414 285 PRODUCT OF TWO ROW VECTORS BY DOUBLE PRECISION ARITHMETIC. 34415 285 BOTH VECTORS ARE CONSTANT, BY DOUBLE PRECISION ARITHMETIC. 34417 285 N A ONE-DIMENSIONAL ARRAY, BY DOUBLE PRECISION ARITHMETIC. 34418 285 SINGLE PRECISION NUMBERS TO A DOUBLE PRECISION DIFFERENCE. 31102 271 LNGREATODECI CONVERTS A DOUBLE PRECISION NUMBER TO ITS DECIMAL REPRESENTATION. 31100 289 E DOUBLE PRECISION POWER OF A DOUBLE PRECISION NUMBER. 31110 271 LNGADD ADDS TWO DOUBLE PRECISION NUMBERS. 31105 271 LNGSUB SUBTRACTS TWO DOUBLE PRECISION NUMBERS. 31106 271 LNGMUL MULTIPLIES TWO DOUBLE PRECISION NUMBERS. 31107 271 LNGDIV DIVIDES TWO DOUBLE PRECISION NUMBERS. 31108 271 LNGPOW COMPUTES THE DOUBLE PRECISION POWER OF A DOUBLE PRECISION NUMBER. 31110 271 DPPOW COMPUTES THE DOUBLE PRECISION POWER OF A SINGLE PRECISION NUMBER. 31109 271 SINGLE PRECISION NUMBERS TO A DOUBLE PRECISION PRODUCT. 31103 271 SINGLE PRECISION NUMBERS TO A DOUBLE PRECISION QUOTIENT. 31104 271 SINGLE PRECISION NUMBERS TO A DOUBLE PRECISION SUM. 31101 271 DPADD ADDS TWO SINGLE PRECISION NUMBERS TO A DOUBLE PRECISION SUM. 31101 271 DPDIV DIVIDES TWO SINGLE PRECISION NUMBERS TO A DOUBLE PRECISION QUOTIENT. 31104 271 DPMUL MULTIPLIES TWO SINGLE PRECISION NUMBERS TO A DOUBLE PRECISION PRODUCT. 31103 271 DPPOW COMPUTES THE DOUBLE PRECISION POWER OF A SINGLE PRECISION NUMBER. 31109 271 DPSUB SUBTRACTS TWO SINGLE PRECISION NUMBERS TO A DOUBLE PRECISION DIFFERENCE. 31102 271 DUPCOLVEC COPIES A VECTOR INTO A COLUMN VECTOR. 31034 3 DUPMAT COPIES A MATRIX INTO ANOTHER MATRIX. 31035 3 DUPROWVEC COPIES A VECTOR INTO A ROW VECTOR. 31032 3 DUPVEC COPIES A VECTOR INTO ANOTHER VECTOR. 31030 3 DUPVECCOL COPIES A COLUMN VECTOR INTO A VECTOR. 31033 3 DUPVECROW COPIES A ROW VECTOR INTO A VECTOR. 31031 3 DWARF DELIVERS THE SMALLEST ( IN ABSOLUTE VALUE ) REPRESENTABLE REAL NUMBER. 30003 275 E DELIVERS A FULL PRECISION APPROXIMATION TO E= 2.718... 30007 273 ENCE OF EXPONENTIAL INTEGRALS E(N,X) = THE INTEGRAL FROM 1 TO INFINITY OF EXP(-X * T) T**N DT. 35086 183 EFERK SOLVES AN AUTONOMOUS SYSTEM OF 1ST ORDER DIFFERENTIAL EQUATIONS ( INITIAL VALU 33120 161 EFRK SOLVES A SYSTEM OF 1ST ORDER DIFFERENTIAL EQUATIONS ( INITIAL VALUE PROBLEM ) B 33070 157 EFSIRK SOLVES AN AUTONOMOUS SYSTEM OF 1ST ORDER DIFFERENTIAL EQUATIONS ( INITIAL VAL 33160 159 EI ALPHA CALCULATES A SEQUENCE OF INTEGRALS OF THE FORM INTEGRAL (EXP(-X*T)*T**N DT) 35081 183 EI CALCULATES THE EXPONENTIAL INTEGRAL . 35080 183 EIGCOM CALCULATES THE EIGENVECTORS AND EIGENVALUES OF A COMPLEX MATRIX. 34375 123 OXIMATION OF A REAL SYMMETRIC EIGENSYSTEM AND CALCULATES ERROR BOUNDS FOR THE EIGENVALUES. 36401 301 RESPONDING TO A GIVEN COMPLEX EIGENVALUE OF A REAL UPPER-HESSENBERG MATRIX BY MEANS OF INVERSE ITERATION. 34191 115 EIGSYM1 CALCULATES EIGENVALUES AND EIGENVECTORS BY MEANS OF INVERSE ITERATION. 34156 113 EIGSYM2 CALCULATES EIGENVALUES AND EIGENVECTORS BY MEANS OF INVERSE ITERATION. 34154 113 QZI COMPUTES GENERALIZED EIGENVALUES AND EIGENVECTORS BY MEANS OF QZ-ITERATION. 34601 267 EIGHRM CALCULATES THE EIGENVALUES AND EIGENVECTORS OF A COMPLEX HERMITIAN MATRIX. 34369 119 QRIHRM CALCULATES THE EIGENVALUES AND EIGENVECTORS OF A COMPLEX HERMITIAN MATRIX. 34371 119 COMEIG1 CALCULATES THE EIGENVALUES AND EIGENVECTORS OF A MATRIX. 34194 117 REAQRI CALCULATES ALL EIGENVALUES AND EIGENVECTORS OF A REAL UPPER-HESSENBERG MATRIX, PROVIDED THAT ALL EI 34186 115 QRISYM CALCULATES ALL EIGENVALUES AND EIGENVECTORS OF A SYMMETRIC MATRIX BY MEANS OF QR ITERATION. 34163 113 QRISYMTRI CALCULATES THE EIGENVALUES AND EIGENVECTORS OF A SYMMETRIC TRIDIAGONAL MATRIX BY MEANS OF QR ITERAT 34161 111 QZIVAL COMPUTES GENERALIZED EIGENVALUES BY MEANS OF QZ-ITERATION. 34600 267 EIGVALHRM CALCULATES THE EIGENVALUES OF A COMPLEX HERMITIAN MATRIX. 34368 119 1KWICINDEX 31/12/79 PAGE 9 0 QRIVALHRM CALCULATES THE EIGENVALUES OF A COMPLEX HERMITIAN MATRIX. 34370 119 EIGVALCOM CALCULATES THE EIGENVALUES OF A COMPLEX MATRIX. 34374 123 LCULATES THE EIGENVECTORS AND EIGENVALUES OF A COMPLEX MATRIX. 34375 123 VALQRICOM CALCULATES THE EIGENVALUES OF A COMPLEX UPPER-HESSENBERG MATRIX WITH A REAL SUBDIAGONAL. 34372 121 ATES THE EIGENVECTORS AND THE EIGENVALUES OF A COMPLEX UPPER-HESSENBERG MATRIX. 34373 121 COMEIGVAL CALCULATES THE EIGENVALUES OF A MATRIX. 34192 117 REAEIGVAL CALCULATES THE EIGENVALUES OF A MATRIX, PROVIDED THAT ALL EIGENVALUES ARE REAL. 34182 117 LCULATES THE EIGENVECTORS AND EIGENVALUES OF A MATRIX, PROVIDED THAT THEY ARE ALL REAL. 34184 117 LCULATES THE EIGENVECTORS AND EIGENVALUES OF A MATRIX, PROVIDED THAT THEY ARE ALL REAL. 34187 117 LCULATES THE REAL AND COMPLEX EIGENVALUES OF A REAL UPPER-HESSENBERG MATRIX BY MEANS OF DOUBLE QR ITERATION. 34190 115 REAVALQRI CALCULATES THE EIGENVALUES OF A REAL UPPER-HESSENBERG MATRIX, PROVIDED THAT ALL EIGENVALUES ARE REA 34180 115 QRIVALSYM1 CALCULATES THE EIGENVALUES OF A SYMMETRIC MATRIX BY MEANS OF QR ITERATION. 34164 113 QRIVALSYM2 CALCULATES THE EIGENVALUES OF A SYMMETRIC MATRIX BY MEANS OF QR ITERATION. 34162 113 M1 CALCULATES ALL ( OR SOME ) EIGENVALUES OF A SYMMETRIC MATRIX USING LINEAR INTERPOLATION OF A FUNCTION DERIVED F 34155 113 M2 CALCULATES ALL ( OR SOME ) EIGENVALUES OF A SYMMETRIC MATRIX USING LINEAR INTERPOLATION OF A FUNCTION DERIVED F 34153 113 TES ALL, OR SOME CONSECUTIVE, EIGENVALUES OF A SYMMETRIC TRIDIAGONAL MATRIX BY MEANS OF LINEAR INTERPOLATION USING 34151 111 QRIVALSYMTRI CALCULATES THE EIGENVALUES OF A SYMMETRIC TRIDIAGONAL MATRIX BY MEANS OF QR ITERATION. 34160 111 LCULATES ERROR BOUNDS FOR THE EIGENVALUES. 36401 301 COMVECHES CALCULATES THE EIGENVECTOR CORRESPONDING TO A GIVEN COMPLEX EIGENVALUE OF A REAL UPPER-HESSENBERG M 34191 115 REAVECHES CALCULATES AN EIGENVECTOR CORRESPONDING TO A GIVEN REAL EIGENVALUE OF A REAL UPPER-HESSENBERG MATR 34181 115 EIGCOM CALCULATES THE EIGENVECTORS AND EIGENVALUES OF A COMPLEX MATRIX. 34375 123 REAEIG1 CALCULATES THE EIGENVECTORS AND EIGENVALUES OF A MATRIX, PROVIDED THAT THEY ARE ALL REAL. 34184 117 REAEIG3 CALCULATES THE EIGENVECTORS AND EIGENVALUES OF A MATRIX, PROVIDED THAT THEY ARE ALL REAL. 34187 117 QRICOM CALCULATES THE EIGENVECTORS AND THE EIGENVALUES OF A COMPLEX UPPER-HESSENBERG MATRIX. 34373 121 M1 CALCULATES EIGENVALUES AND EIGENVECTORS BY MEANS OF INVERSE ITERATION. 34156 113 M2 CALCULATES EIGENVALUES AND EIGENVECTORS BY MEANS OF INVERSE ITERATION. 34154 113 S GENERALIZED EIGENVALUES AND EIGENVECTORS BY MEANS OF QZ-ITERATION. 34601 267 ALCULATES THE EIGENVALUES AND EIGENVECTORS OF A COMPLEX HERMITIAN MATRIX. 34369 119 ALCULATES THE EIGENVALUES AND EIGENVECTORS OF A COMPLEX HERMITIAN MATRIX. 34371 119 ALCULATES THE EIGENVALUES AND EIGENVECTORS OF A MATRIX. 34194 117 ALCULATES ALL EIGENVALUES AND EIGENVECTORS OF A REAL UPPER-HESSENBERG MATRIX, PROVIDED THAT ALL EIGENVALUES ARE RE 34186 115 ALCULATES ALL EIGENVALUES AND EIGENVECTORS OF A SYMMETRIC MATRIX BY MEANS OF QR ITERATION. 34163 113 VECSYMTRI CALCULATES EIGENVECTORS OF A SYMMETRIC TRIDIAGONAL MATRIX BY MEANS OF INVERSE ITERATION. 34152 111 ALCULATES THE EIGENVALUES AND EIGENVECTORS OF A SYMMETRIC TRIDIAGONAL MATRIX BY MEANS OF QR ITERATION. 34161 111 L NORMALIZES REAL AND COMPLEX EIGENVECTORS. 34193 29 EIGHRM CALCULATES THE EIGENVALUES AND EIGENVECTORS OF A COMPLEX HERMITIAN MATRIX. 34369 119 EIGSYM1 CALCULATES EIGENVALUES AND EIGENVECTORS BY MEANS OF INVERSE ITERATION. 34156 113 EIGSYM2 CALCULATES EIGENVALUES AND EIGENVECTORS BY MEANS OF INVERSE ITERATION. 34154 113 EIGVALCOM CALCULATES THE EIGENVALUES OF A COMPLEX MATRIX. 34374 123 EIGVALHRM CALCULATES THE EIGENVALUES OF A COMPLEX HERMITIAN MATRIX. 34368 119 EIGVALSYM1 CALCULATES ALL ( OR SOME ) EIGENVALUES OF A SYMMETRIC MATRIX USING LINEAR 34155 113 EIGVALSYM2 CALCULATES ALL ( OR SOME ) EIGENVALUES OF A SYMMETRIC MATRIX USING LINEAR 34153 113 ES THE MODULUS OF THE LARGEST ELEMENT OF A MATRIX AND DELIVERS THE INDICES OF THE MAXIMAL ELEMENT. 31069 241 ELIMINATION SOLVES A SYSTEM OF LINEAR EQUATIONS WITH POSITIVE REAL EIGENVALUES ( ELL 33171 225 H POSITIVE REAL EIGENVALUES ( ELLIPTIC BOUNDARY VALUE PROBLEM ) BY MEANS OF A NON-STATIONARY 2ND ORDER ITERATIVE M 33170 225 H POSITIVE REAL EIGENVALUES ( ELLIPTIC BOUNDARY VALUE PROBLEM ) BY MEANS OF A NON-STATIONARY 2ND ORDER ITERATIVE M 33171 225 ELMCOL ADDS A CONSTANT TIMES A COLUMN VECTOR TO A COLUMN VECTOR. 34023 9 ELMCOLROW ADDS A CONSTANT TIMES A ROW VECTOR TO A COLUMN VECTOR. 34029 9 ELMCOLVEC ADDS A CONSTANT TIMES A VECTOR TO A COLUMN VECTOR. 34022 9 ELMCOMCOL ADDS A COMPLEX NUMBER TIMES A COMPLEX COLUMN VECTOR TO A COMPLEX COLUMN VE 34377 25 ELMCOMROWVEC ADDS A COMPLEX NUMBER TIMES A COMPLEX VECTOR TO A COMPLEX ROW VECTOR. 34378 25 ELMCOMVECCOL ADDS A COMPLEX NUMBER TIMES A COMPLEX COLUMN VECTOR TO A COMPLEX VECTOR 34376 25 ELMROW ADDS A CONSTANT TIMES A ROW VECTOR TO A ROW VECTOR. 34024 9 ELMROWCOL ADDS A CONSTANT TIMES A COLUMN VECTOR TO A ROW VECTOR. 34028 9 ELMROWVEC ADDS A CONSTANT TIMES A VECTOR TO A ROW VECTOR. 34027 9 ELMVEC ADDS A CONSTANT TIMES A VECTOR TO A VECTOR. 34020 9 1KWICINDEX 31/12/79 PAGE 10 0 ELMVECCOL ADDS A CONSTANT TIMES A COLUMN VECTOR TO A VECTOR. 34021 9 ELMVECROW ADDS A CONSTANT TIMES A ROW VECTOR TO A VECTOR. 34026 9 ENX COMPUTES A SEQUENCE OF EXPONENTIAL INTEGRALS E(N,X) = THE INTEGRAL FROM 1 TO INF 35086 183 EQILBR EQUILIBRATES A MATRIX BY MEANS OF A DIAGONAL SIMILARITY TRANSFORMATION. 34173 97 EQILBRCOM EQUILIBRATES A COMPLEX MATRIX. 34361 99 SINGLE 2ND ORDER DIFFERENTIAL EQUATION ( INITIAL VALUE PROBLEM ) BY MEANS OF A 5TH ORDER RUNGE-KUTTA METHOD. 33012 171 SINGLE 2ND ORDER DIFFERENTIAL EQUATION ( INITIAL VALUE PROBLEM ) BY MEANS OF A 5TH ORDER RUNGE-KUTTA METHOD; THIS 33014 175 SINGLE 1ST ORDER DIFFERENTIAL EQUATION BY MEANS OF A 5TH ORDER RUNGE-KUTTA METHOD. 33010 141 ATES THE ROOTS OF A QUADRATIC EQUATION WITH COMPLEX COEFFICIENTS. 34345 129 TEM OF 1ST ORDER DIFFERENTIAL EQUATIONS ( INITIAL BOUNDARY-VALUE PROBLEM ) BY MEANS OF A STABILIZED RUNGE-KUTTA ME 33066 295 TEM OF 1ST ORDER DIFFERENTIAL EQUATIONS ( INITIAL VALUE PROBLEM ) BY MEANS OF A STABILIZED RUNGE-KUTTA METHOD WITH 33061 155 TEM OF 1ST ORDER DIFFERENTIAL EQUATIONS ( INITIAL VALUE PROBLEM ) BY MEANS OF A VARIABLE ORDER MULTISTEP METHOD AD 33080 151 TEM OF 1ST ORDER DIFFERENTIAL EQUATIONS ( INITIAL VALUE PROBLEM ) BY MEANS OF A VARIABLE ORDER TAYLOR METHOD; THIS 33050 169 TEM OF 1ST ORDER DIFFERENTIAL EQUATIONS ( INITIAL VALUE PROBLEM ) BY MEANS OF A 1ST, 2ND OR 3RD ORDER ONE-STEP TAY 33040 167 TEM OF 1ST ORDER DIFFERENTIAL EQUATIONS ( INITIAL VALUE PROBLEM ) BY MEANS OF A 1ST, 2ND OR 3RD ORDER, EXPONENTION 33070 157 TEM OF 1ST ORDER DIFFERENTIAL EQUATIONS ( INITIAL VALUE PROBLEM ) BY MEANS OF A 3RD ORDER MULTISTEP METHOD; THIS M 33191 223 TEM OF 1ST ORDER DIFFERENTIAL EQUATIONS ( INITIAL VALUE PROBLEM ) BY MEANS OF A 3RD ORDER, EXPONENTIALLY FITTED, S 33160 159 TEM OF 1ST ORDER DIFFERENTIAL EQUATIONS ( INITIAL VALUE PROBLEM ) BY MEANS OF A 5TH ORDER RUNGE-KUTTA METHOD. 33033 143 TEM OF 2ND ORDER DIFFERENTIAL EQUATIONS ( INITIAL VALUE PROBLEM ) BY MEANS OF A 5TH ORDER RUNGE-KUTTA METHOD. 33013 173 TEM OF 1ST ORDER DIFFERENTIAL EQUATIONS ( INITIAL VALUE PROBLEM ) BY MEANS OF A 5TH ORDER RUNGE-KUTTA METHOD; THE 33017 147 TEM OF 1ST ORDER DIFFERENTIAL EQUATIONS ( INITIAL VALUE PROBLEM ) BY MEANS OF A 5TH ORDER RUNGE-KUTTA METHOD; THE 33018 149 TEM OF 2ND ORDER DIFFERENTIAL EQUATIONS ( INITIAL VALUE PROBLEM ) BY MEANS OF A 5TH ORDER RUNGE-KUTTA METHOD; THIS 33015 177 TEM OF 1ST ORDER DIFFERENTIAL EQUATIONS ( INITIAL VALUE PROBLEM ) BY MEANS OF AN EXPONENTIALLY FITTED, 3RD ORDER R 33120 161 TEM OF 1ST ORDER DIFFERENTIAL EQUATIONS ( INITIAL VALUE PROBLEM ) BY MEANS OF AN IMPLICIT, EXPONENTIALLY FITTED 1S 33131 165 TEM OF 1ST ORDER DIFFERENTIAL EQUATIONS ( INITIAL VALUE PROBLEM ) BY MEANS OF AN IMPLICIT, EXPONENTIALLY FITTED 1S 33132 221 TEM OF 1ST ORDER DIFFERENTIAL EQUATIONS ( INITIAL VALUE PROBLEM ) BY MEANS OF THE IMPLICIT MIDPOINT RULE WITH SMOO 33135 231 TEM OF 1ST ORDER DIFFERENTIAL EQUATIONS ( INITIAL VALUE PROBLEM ); BY EXTRAPOLATION, APPLIED TO LOW ORDER RESULTS, 33180 153 TE SYMMETRIC SYSTEM OF LINEAR EQUATIONS BY CHOLESKY'S SQUARE ROOT METHOD; THE COEFFICIENT MATRIX SHOULD BE GIVEN I 34392 59 TE SYMMETRIC SYSTEM OF LINEAR EQUATIONS BY CHOLESKY'S SQUARE ROOT METHOD; THE COEFFICIENT MATRIX SHOULD BE GIVEN C 34393 59 BND SOLVES A SYSTEM OF LINEAR EQUATIONS BY GAUSSIAN ELIMINATION WITH PARTIAL PIVOTING IF THE COEFFICIENT MATRIX IS 34322 79 A SYMMETRIC SYSTEM OF LINEAR EQUATIONS BY SYMMETRIC DECOMPOSITION. 34293 307 OL1 SOLVES A SYSTEM OF LINEAR EQUATIONS IF THE COEFFICIENT MATRIX HAS BEEN DECOMPOSED BY CHLDEC1 OR CHLDECSOL1. 34391 59 OL2 SOLVES A SYSTEM OF LINEAR EQUATIONS IF THE COEFFICIENT MATRIX HAS BEEN DECOMPOSED BY CHLDEC2 OR CHLDECSOL2. 34390 59 A SYMMETRIC SYSTEM OF LINEAR EQUATIONS IF THE COEFFICIENT MATRIX HAS BEEN DECOMPOSED BY DECSYM2 OR DECSOLSYM2. 34292 307 SOLVES A SYSTEM OF NON-LINEAR EQUATIONS OF WHICH THE JACOBIAN ( BEING A BAND MATRIX ) IS GIVEN. 34430 217 SOLVES A SYSTEM OF NON-LINEAR EQUATIONS OF WHICH THE JACOBIAN IS A BAND MATRIX. 34431 217 SOL SOLVES A SYSTEM OF LINEAR EQUATIONS WHOSE ORDER IS SMALL RELATIVE TO THE NUMBER OF BINARY DIGITS IN THE NUMBER 34301 49 TERMINED SYSTEM OF NON-LINEAR EQUATIONS WITH MARQUARDT'S METHOD. 34440 219 TERMINED SYSTEM OF NON-LINEAR EQUATIONS WITH THE GAUSS-NEWTON METHOD. 34441 219 SOL SOLVES A SYSTEM OF LINEAR EQUATIONS. 34232 49 ERDETERMINED SYSTEM OF LINEAR EQUATIONS. 34281 67 ERDETERMINED SYSTEM OF LINEAR EQUATIONS. 34283 69 EPENDENT PARTIAL DIFFERENTIAL EQUATIONS. 33066 295 TEM OF 1ST ORDER DIFFERENTIAL EQUATIONS; THE UNKNOWN VARIABLES MAY APPEAR NON-LINEARLY BOTH IN THE DIFFERENTIAL EQ 34444 259 ERDETERMINED SYSTEM OF LINEAR EQUATIONS, MULTIPLYING THE RIGHT-HAND SIDE BY THE PSEUDO-INVERSE OF THE GIVEN MATRIX 34280 67 ERDETERMINED SYSTEM OF LINEAR EQUATIONS, MULTIPLYING THE RIGHT-HAND SIDE BY THE PSEUDO-INVERSE OF THE GIVEN MATRIX 34282 69 BND SOLVES A SYSTEM OF LINEAR EQUATIONS, THE MATRIX BEING DECOMPOSED BY DECBND. 34071 79 THE EIGENVECTORS OF A COMPLEX EQUILIBRATED ( BY EQILBRCOM ) MATRIX INTO THE EIGENVECTORS OF THE ORIGINAL MATRIX. 34362 99 EQILBRCOM EQUILIBRATES A COMPLEX MATRIX. 34361 99 EQILBR EQUILIBRATES A MATRIX BY MEANS OF A DIAGONAL SIMILARITY TRANSFORMATION. 34173 97 ERBELM CALCULATES A ROUGH UPPERBOUND FOR THE ERROR IN THE SOLUTION OF A SYSTEM OF LI 34241 45 COMPUTES THE ERROR FUNCTION ( ERF ) AND COMPLEMENTARY ERROR FUNCTION ( ERFC ) FOR A REAL ARGUMENT. 35021 227 OMPLEMENTARY ERROR FUNCTION ( ERFC ) FOR A REAL ARGUMENT. 35021 227 NONEXPERFC COMPUTES ERFC(X) * EXP(X*X). 35022 227 ARREB DELIVERS THE ARITHMETIC ERROR BOUND OF THE COMPUTOR. 30002 275 IC EIGENSYSTEM AND CALCULATES ERROR BOUNDS FOR THE EIGENVALUES. 36401 301 1KWICINDEX 31/12/79 PAGE 11 0 ERRORFUNCTION COMPUTES THE ERROR FUNCTION ( ERF ) AND COMPLEMENTARY ERROR FUNCTION ( ERFC ) FOR A REAL ARGUMENT 35021 227 ION ( ERF ) AND COMPLEMENTARY ERROR FUNCTION ( ERFC ) FOR A REAL ARGUMENT. 35021 227 NCTION CALCULATES THE INVERSE ERROR FUNCTION Y = INVERF(X). 35023 227 BOUNDS CALCULATES THE ERROR IN APPROXIMATED ZEROS OF A POLYNOMIAL WITH REAL COEFFICIENTS. 34502 311 ATIVELY AN UPPERBOUND FOR THE ERROR IN THE SOLUTION IS CALCULATED. 34253 53 ELY AND AN UPPERBOUND FOR THE ERROR IN THE SOLUTION IS CALCULATED. 34254 53 ES A ROUGH UPPERBOUND FOR THE ERROR IN THE SOLUTION OF A SYSTEM OF LINEAR EQUATIONS WHOSE MATRIX IS TRIANGULARLY D 34241 45 N UPPERBOUND FOR THE RELATIVE ERROR IN THE SOLUTION OF THAT SYSTEM. 34242 45 ERRORFUNCTION COMPUTES THE ERROR FUNCTION ( ERF ) AND COMPLEMENTARY ERROR FUNCTION ( 35021 227 PEIDE ESTIMATES UNKNOWN PARAMETERS IN A SYSTEM OF 1ST ORDER DIFFERENTIAL EQUATIONS; THE UN 34444 259 COMEUCNRM CALCULATES THE EUCLIDEAN NORM OF A COMPLEX MATRIX WITH LW LOWER CODIAGONALS. 34359 31 EULER PERFORMS THE SUMMATION OF AN ALTERNATING INFINITE SERIES. 32010 131 EI CALCULATES THE EXPONENTIAL INTEGRAL . 35080 183 ENX COMPUTES A SEQUENCE OF EXPONENTIAL INTEGRALS E(N,X) = THE INTEGRAL FROM 1 TO INFINITY OF EXP(-X * T) T**N 35086 183 EXPONENTIALLY FITTED TAYLOR SOLVES A SYSTEM OF 1ST ORDER DIFFERENTIAL EQUATIONS ( IN 33050 169 EM ) BY MEANS OF AN IMPLICIT, EXPONENTIALLY FITTED 1ST ORDER ONE-STEP METHOD; AUTOMATIC STEP-SIZE CONTROL IS NOT P 33131 165 EM ) BY MEANS OF AN IMPLICIT, EXPONENTIALLY FITTED 1ST ORDER ONE-STEP METHOD;THIS METHOD CAN BE USED TO SOLVE STIF 33132 221 EM ) BY MEANS OF A 3RD ORDER, EXPONENTIALLY FITTED, SEMI-IMPLICIT RUNGE-KUTTA METHOD; THIS METHOD CAN BE USED TO S 33160 159 ALUE PROBLEM ) BY MEANS OF AN EXPONENTIALLY FITTED, 3RD ORDER RUNGE-KUTTA METHOD; THIS METHOD CAN BE USED TO SOLVE 33120 161 S OF A 1ST, 2ND OR 3RD ORDER, EXPONENTIONALLY FITTED RUNGE-KUTTA METHOD; AUTOMATIC STEPSIZE CONTROL IS NOT PROVIDE 33070 157 POINT RULE WITH SMOOTHING AND EXTRAPOLATION; THIS METHOD IS SUITABLE FOR THE INTEGRATION OF STIFF DIFFERENTIAL EQU 33135 231 FEMHERMSYM SOLVES A LINEAR TWO-POINT BOUNDARY-VALUE PROBLEM FOR A FOURTH ORDER SELF- 33303 265 FEMLAG SOLVES A LINEAR TWO-POINT BOUNDARY-VALUE PROBLEM FOR A SECOND ORDER SELF-ADJO 33301 261 FEMLAGSKEW SOLVES A LINEAR TWO-POINT BOUNDARY-VALUE PROBLEM FOR A SECOND ORDER DIFFE 33302 263 FEMLAGSPHER SOLVES A LINEAR TWO-POINT BOUNDARY-VALUE PROBLEM FOR A SECOND ORDER SELF 33308 261 FEMLAGSYM SOLVES A LINEAR TWO-POINT BOUNDARY-VALUE PROBLEM FOR A SECOND ORDER SELF-A 33300 261 FG IS AN AUXILIARY PROCEDURE FOR THE COMPUTATION OF FRESNEL INTEGRALS. 35028 227 SUMORTPOL EVALUATES A FINITE SERIES EXPRESSED IN ORTHOGONAL POLYNOMIALS, GIVEN BY A SET OF RECURRENCE COEF 31047 293 SUMORTPOLSYM EVALUATES A FINITE SERIES EXPRESSED IN ORTHOGONAL POLYNOMIALS, GIVEN BY A SET OF RECURRENCE COEF 31058 293 FLEMIN MINIMIZES A FUNCTION OF SEVERAL VARIABLES. 34215 19 FLEUPD ADDS A RANK-2 MATRIX TO A SYMMETRIC MATRIX. 34213 139 FORWARD IS AN AUXILIARY PROCEDURE FOR THE COMPUTATION OF INCOMPLETE BESSELFUNCTIONS. 35055 187 FOUSER EVALUATES A FOURIER SERIES WITH EQUAL SINE AND COSINE COEFFICIENTS. 31092 203 COMFOUSER EVALUATES A COMPLEX FOURIER SERIES WITH REAL COEFFICIENTS. 31095 203 FOUSER1 EVALUATES A FOURIER SERIES. 31093 203 FOUSER2 EVALUATES A FOURIER SERIES. 31094 203 OMFOUSER1 EVALUATES A COMPLEX FOURIER SERIES. 31096 203 OMFOUSER2 EVALUATES A COMPLEX FOURIER SERIES. 31097 203 FOUSER EVALUATES A FOURIER SERIES WITH EQUAL SINE AND COSINE COEFFICIENTS. 31092 203 FOUSER1 EVALUATES A FOURIER SERIES. 31093 203 FOUSER2 EVALUATES A FOURIER SERIES. 31094 203 LATES A TERMINATING CONTINUED FRACTION. 35083 41 FRESNEL CALCULATES THE FRESNEL INTEGRALS C(X) AND S(X). 35027 227 FRESNEL CALCULATES THE FRESNEL INTEGRALS C(X) AND S(X). 35027 227 FULMATVEC CALCULATES THE PRODUCT A * B, WHERE A IS A GIVEN MATRIX AND B IS A VECTOR. 31500 15 FULSYMMATVEC CALCULATES THE PRODUCT A * B, WHERE A IS A SYMMETRIC MATRIX, WHOSE UPPE 31502 15 FULTAMVEC CALCULATES THE PRODUCT A' * B, WHERE A' IS THE TRANSPOSED OF THE MATRIX A 31501 15 USX EVALUATES THE LOGARITHMIC FUNCTION LN(1+X). 35130 315 AN MATRIX OF AN N-DIMENSIONAL FUNCTION OF M VARIABLES USING FORWARD DIFFERENCES. 34438 213 AN MATRIX OF AN N-DIMENSIONAL FUNCTION OF N VARIABLES USING FORWARD DIFFERENCES. 34437 213 AN MATRIX OF AN N-DIMENSIONAL FUNCTION OF N VARIABLES, IF THE JACOBIAN IS KNOWN TO BE A BAND MATRIX. 34439 213 MININ MINIMIZES A FUNCTION OF ONE VARIABLE IN A GIVEN INTERVAL. 34433 235 MININDER MINIMIZES A FUNCTION OF ONE VARIABLE IN A GIVEN INTERVAL, USING VALUES OF THE FUNCTION AND OF IT 34435 237 ES THE DEFINITE INTEGRAL OF A FUNCTION OF ONE VARIABLE OVER A FINITE INTERVAL. 32070 133 ES THE DEFINITE INTEGRAL OF A FUNCTION OF ONE VARIABLE OVER A FINITE OR INFINITE INTERVAL OR OVER A NUMBER OF CONS 32051 135 GIVEN INTERVAL ) A ZERO OF A FUNCTION OF ONE VARIABLE USING VALUES OF THE FUNCTION AND OF ITS DERIVATIVE. 34453 233 GIVEN INTERVAL ) A ZERO OF A FUNCTION OF ONE VARIABLE. 34150 215 1KWICINDEX 31/12/79 PAGE 12 0 GIVEN INTERVAL ) A ZERO OF A FUNCTION OF ONE VARIABLE. 34436 215 LINEMIN MINIMIZES A FUNCTION OF SEVERAL VARIABLES IN A GIVEN DIRECTION. 34210 139 RNK1MIN MINIMIZES A FUNCTION OF SEVERAL VARIABLES. 34214 19 FLEMIN MINIMIZES A FUNCTION OF SEVERAL VARIABLES. 34215 19 PRAXIS MINIMIZES A FUNCTION OF SEVERAL VARIABLES. 34432 239 CALCULATES THE INVERSE ERROR FUNCTION Y = INVERF(X). 35023 227 JAPLUSN CALCULATES THE BESSEL FUNCTIONS OF THE 1ST KIND OF ORDER A+K ( 0<=K<=N, 0<=A<1 ). 35180 249 SS YA01 CALCULATES THE BESSEL FUNCTIONS OF THE 2ND KIND ( ALSO CALLED NEUMANN'S FUNCTIONS ) OF ORDER A AND A+1 ( A 35181 249 YAPLUSN CALCULATES THE BESSEL FUNCTIONS OF THE 2ND KIND OF ORDER A+N, N=0,...,NMAX , A>=0, AND ARGUMENT X>0. 35182 249 FFERENTIAL EQUATION BY A RITZ- GALERKIN METHOD. 33300 261 FFERENTIAL EQUATION BY A RITZ- GALERKIN METHOD. 33302 263 BOUNDARY CONDITIONS BY A RITZ- GALERKIN METHOD. 33303 265 FFERENTIAL EQUATION BY A RITZ- GALERKIN METHOD; THE COEFFICIENT OF Y" IS SUPPOSED TO BE UNITY. 33301 261 GAMMA CALCULATES THE GAMMA FUNCTION. 35061 187 CULATES THE RECIPROCAL OF THE GAMMA FUNCTION FOR ARGUMENTS IN THE RANGE [.5,1.5]; MOREOVER ODD AND EVEN PARTS ARE 35060 187 THE NATURAL LOGARITHM OF THE GAMMA FUNCTION FOR POSITIVE ARGUMENTS. 35062 187 GAMMA CALCULATES THE GAMMA FUNCTION. 35061 187 OMGAM COMPUTES THE INCOMPLETE GAMMA FUNCTIONS. 35030 187 THE ABSCISSAE AND WEIGHTS FOR GAUSS- JACOBI QUADRATURE. 31425 291 THE ABSCISSAE AND WEIGHTS FOR GAUSS- LAGRANGE QUADRATURE. 31427 291 SYSTEM OF LINEAR EQUATIONS BY GAUSSIAN ELIMINATION WITH PARTIAL PIVOTING IF THE COEFFICIENT MATRIX IS IN BAND FORM 34322 79 GSSWTS CALCULATES THE GAUSSIAN WEIGHTS OF A WEIGHT FUNCTION, THE RECURRENCE COEFFICIENTS BEING GIVEN. 31253 313 GSSWTSSYM CALCULATES THE GAUSSIAN WEIGHTS OF A WEIGHT FUNCTION, THE RECURRENCE COEFFICIENTS BEING GIVEN. 31252 313 S-MOULTON, ADAMS-BASHFORTH OR GEAR'S METHOD; THE ORDER OF ACCURACY IS AUTOMATIC, UP TO 5TH ORDER; THIS METHOD IS S 33080 151 QZI COMPUTES GENERALIZED EIGENVALUES AND EIGENVECTORS BY MEANS OF QZ-ITERATION. 34601 267 QZIVAL COMPUTES GENERALIZED EIGENVALUES BY MEANS OF QZ-ITERATION. 34600 267 GIANT DELIVERS THE LARGEST REPRESENTABLE REAL NUMBER. 30004 275 GMS SOLVES AN AUTONOMOUS SYSTEM OF 1ST ORDER DIFFERENTIAL EQUATIONS ( INITIAL VALUE 33191 223 MNS ACCORDING TO THE MODIFIED GRAM-SMIDT METHOD. 36402 299 GRNNEW TRANSFORMS A POLYNOMIAL FROM POWER SUM INTO NEWTON SUM FORM. 31055 43 GSSELM PERFORMS A TRIANGULAR DECOMPOSITION WITH A COMBINATION OF PARTIAL AND COMPLET 34231 45 GSSERB PERFORMS A TRIANGULAR DECOMPOSTION OF THE MATRIX OF A SYSTEM OF LINEAR EQUATI 34242 45 GSSINV CALCULATES THE INVERSE OF A MATRIX. 34236 51 GSSINVERB CALCULATES THE INVERSE OF A MATRIX AND 1-NORM, AN UPPERBOUND FOR THE ERROR 34244 51 GSSITISOL SOLVES A SYSTEM OF LINEAR EQUATIONS AND THE SOLUTION IS IMPROVED ITERATIVE 34251 53 GSSITISOLERB SOLVES A SYSTEM OF LINEAR EQUATIONS; THIS SOLUTION IS IMPROVED ITERATIV 34254 53 GSSJACWGHTS COMPUTES THE ABSCISSAE AND WEIGHTS FOR GAUSS- JACOBI QUADRATURE. 31425 291 GSSLAGWGHTS COMPUTES THE ABSCISSAE AND WEIGHTS FOR GAUSS- LAGRANGE QUADRATURE. 31427 291 GSSNEWTON CALCULATES THE LEAST SQUARES SOLUTION OF AN OVERDETERMINED SYSTEM OF NON-L 34441 219 GSSNRI PERFORMS A TRIANGULAR DECOMPOSITION AND CALCULATES THE 1-NORM OF THE INVERSE 34252 45 GSSSOL SOLVES A SYSTEM OF LINEAR EQUATIONS. 34232 49 GSSSOLERB SOLVES A SYSTEM OF LINEAR EQUATIONS AND CALCULATES A ROUGH UPPERBOUND FOR 34243 49 GSSWTS CALCULATES THE GAUSSIAN WEIGHTS OF A WEIGHT FUNCTION, THE RECURRENCE COEFFICI 31253 313 GSSWTSSYM CALCULATES THE GAUSSIAN WEIGHTS OF A WEIGHT FUNCTION, THE RECURRENCE COEFF 31252 313 HSHHRMTRI TRANSFORMS A HERMITIAN MATRIX INTO A SIMILAR REAL SYMMETRIC TRIDIAGONAL MATRIX. 34363 105 THE EIGENVALUES OF A COMPLEX HERMITIAN MATRIX. 34368 119 AND EIGENVECTORS OF A COMPLEX HERMITIAN MATRIX. 34369 119 THE EIGENVALUES OF A COMPLEX HERMITIAN MATRIX. 34370 119 AND EIGENVECTORS OF A COMPLEX HERMITIAN MATRIX. 34371 119 THE CODIAGONAL ELEMENTS OF A HERMITIAN TRIDIAGONAL MATRIX WHICH IS UNITARY SIMILAR WITH A GIVEN HERMITIAN MATRIX. 34364 105 X EIGENVALUES OF A REAL UPPER- HESSENBERG MATRIX BY MEANS OF DOUBLE QR ITERATION. 34190 115 AL EIGENVALUE OF A REAL UPPER- HESSENBERG MATRIX BY MEANS OF INVERSE ITERATION. 34181 115 EX EIGENVALUE OF A REAL UPPER- HESSENBERG MATRIX BY MEANS OF INVERSE ITERATION. 34191 115 A MATRIX INTO A SIMILAR UPPER- HESSENBERG MATRIX BY MEANS OF WILKINSON'S TRANSFORMATION. 34170 103 INTO A SIMILAR UNITARY UPPER- HESSENBERG MATRIX WITH A REAL NONNEGATIVE SUBDIAGONAL. 34366 107 IGENVALUES OF A COMPLEX UPPER- HESSENBERG MATRIX WITH A REAL SUBDIAGONAL. 34372 121 1KWICINDEX 31/12/79 PAGE 13 0 IGENVALUES OF A COMPLEX UPPER- HESSENBERG MATRIX. 34373 121 E EIGENVALUES OF A REAL UPPER- HESSENBERG MATRIX, PROVIDED THAT ALL EIGENVALUES ARE REAL, BY MEANS OF SINGLE QR ITE 34180 115 EIGENVECTORS OF A REAL UPPER- HESSENBERG MATRIX, PROVIDED THAT ALL EIGENVALUES ARE REAL, BY MEANS OF SINGLE QR ITE 34186 115 HESTGL2 IS AN AUXILIARY PROCEDURE FOR THE COMPUTATION OF GENERALIZED EIGENVALUES. 34604 267 HESTGL3 IS AN AUXILIARY PROCEDURE FOR THE COMPUTATION OF GENERALIZED EIGENVALUES. 34603 267 HOMSOLSVD SOLVES THE HOMOGENEOUS SYSTEM OF LINEAR EQUATIONS A * X = 0 AND X' * A = 0, WHERE "A" DENOTES A 34284 71 HOMSOL SOLVES THE HOMOGENEOUS SYSTEM OF LINEAR EQUATIONS OF EQUATIONS A * X = 0 AND X' * A = 0, WHERE 34285 71 HOMSOL SOLVES THE HOMOGENEOUS SYSTEM OF LINEAR EQUATIONS OF EQUATIONS A * X = 0 AND 34285 71 HOMSOLSVD SOLVES THE HOMOGENEOUS SYSTEM OF LINEAR EQUATIONS A * X = 0 AND X' * A = 0 34284 71 T PREMULTIPLIES A MATRIX BY A HOUSEHOLDER MATRIX, THE VECTOR DEFINING THIS HSH MATRIX BEING GIVEN AS A COLUMN IN A 31071 269 POSTMULTIPLIES A MATRIX BY A HOUSEHOLDER MATRIX, THE VECTOR DEFINING THIS HSH MATRIX BEING GIVEN AS A COLUMN IN A 31074 269 T PREMULTIPLIES A MATRIX BY A HOUSEHOLDER MATRIX, THE VECTOR DEFINING THIS HSH MATRIX BEING GIVEN AS A ROW IN A TW 31072 269 POSTMULTIPLIES A MATRIX BY A HOUSEHOLDER MATRIX, THE VECTOR DEFINING THIS HSH MATRIX BEING GIVEN AS A ROW IN A TW 31075 269 T PREMULTIPLIES A MATRIX BY A HOUSEHOLDER MATRIX, THE VECTOR DEFINING THIS HSH MATRIX BEING GIVEN IN A ONE-DIMENSI 31070 269 POSTMULTIPLIES A MATRIX BY A HOUSEHOLDER MATRIX, THE VECTOR DEFINING THIS HSH MATRIX BEING GIVEN IN A ONE-DIMENSI 31073 269 NEAR LEAST SQUARES PROBLEM BY HOUSEHOLDER TRIANGULARIZATION WITH COLUMN INTERCHANGES AND CALCULATES THE DIAGONAL O 34135 65 LSQORTDEC DELIVERS THE HOUSEHOLDER TRIANGULARIZATION WITH COLUMN INTERCHANGES OF THE MATRIX OF A LINEAR LEA 34134 63 A COMPLEX MATRIX BY MEANS OF HOUSEHOLDER'S TRANSFORMATION FOLLOWED BY A COMPLEX DIAGONAL TRANSFORMATION INTO A SI 34366 107 R TRIDIAGONAL ONE BY MEANS OF HOUSEHOLDER'S TRANSFORMATION. 34143 101 R TRIDIAGONAL ONE BY MEANS OF HOUSEHOLDER'S TRANSFORMATION. 34140 101 HSHCOLMAT PREMULTIPLIES A MATRIX BY A HOUSEHOLDER MATRIX, THE VECTOR DEFINING THIS H 31071 269 HSHCOLTAM POSTMULTIPLIES A MATRIX BY A HOUSEHOLDER MATRIX, THE VECTOR DEFINING THIS 31074 269 HSHCOMCOL TRANSFORMS A COMPLEX VECTOR INTO A VECTOR PROPORTIONAL TO A UNIT VECTOR. 34355 23 HSHCOMHES TRANSFORMS A COMPLEX MATRIX BY MEANS OF HOUSEHOLDER'S TRANSFORMATION FOLLO 34366 107 ANSFORMATION CORRESPONDING TO HSHCOMHES. 34367 107 HSHCOMPRD PREMULTIPLIES A COMPLEX MATRIX WITH A COMPLEX HOUSEHOLDER MATRIX. 34356 23 HSHDECMUL IS AN AUXILIARY PROCEDURE FOR THE COMPUTATION OF GENERALIZED EIGENVALUES. 34602 267 HSHHRMTRI TRANSFORMS A HERMITIAN MATRIX INTO A SIMILAR REAL SYMMETRIC TRIDIAGONAL MA 34363 105 ANSFORMATION CORRESPONDING TO HSHHRMTRI. 34365 105 HSHHRMTRIVAL DELIVERS THE MAIN DIAGONAL ELEMENTS AND THE SQUARES OF THE CODIAGONAL E 34364 105 HSHREABID TRANSFORMS A MATRIX TO BIDIAGONAL FORM, BY PREMULTIPLYING AND POSTMULTIPLY 34260 109 IX FROM THE DATA GENERATED BY HSHREABID. 34261 109 IX FROM THE DATA GENERATED BY HSHREABID. 34262 109 HSHROWMAT PREMULTIPLIES A MATRIX BY A HOUSEHOLDER MATRIX, THE VECTOR DEFINING THIS H 31072 269 HSHROWTAM POSTMULTIPLIES A MATRIX BY A HOUSEHOLDER MATRIX, THE VECTOR DEFINING THIS 31075 269 HSHVECMAT PREMULTIPLIES A MATRIX BY A HOUSEHOLDER MATRIX, THE VECTOR DEFINING THIS H 31070 269 HSHVECTAM POSTMULTIPLIES A MATRIX BY A HOUSEHOLDER MATRIX, THE VECTOR DEFINING THIS 31073 269 HSH2COL IS AN AUXILIARY PROCEDURE FOR THE COMPUTATION OF GENERALIZED EIGENVALUES. 34605 267 HSH2ROW2 IS AN AUXILIARY PROCEDURE FOR THE COMPUTATION OF GENERALIZED EIGENVALUES. 34608 267 HSH2ROW3 IS AN AUXILIARY PROCEDURE FOR THE COMPUTATION OF GENERALIZED EIGENVALUES. 34607 267 HSH3COL IS AN AUXILIARY PROCEDURE FOR THE COMPUTATION OF GENERALIZED EIGENVALUES. 34606 267 HSH3ROW2 IS AN AUXILIARY PROCEDURE FOR THE COMPUTATION OF GENERALIZED EIGENVALUES. 34610 267 HSH3ROW3 IS AN AUXILIARY PROCEDURE FOR THE COMPUTATION OF GENERALIZED EIGENVALUES. 34609 267 COSH COMPUTES THE HYPERBOLIC COSINE FOR A REAL ARGUMENT X. 35112 181 ARCCOSH COMPUTES THE INVERSE HYPERBOLIC COSINE FOR A REAL ARGUMENT X. 35115 181 SINH COMPUTES THE HYPERBOLIC SINE FOR A REAL ARGUMENT X. 35111 181 ARCSINH COMPUTES THE INVERSE HYPERBOLIC SINE FOR A REAL ARGUMENT X. 35114 181 TANH COMPUTES THE HYPERBOLIC TANGENT FOR A REAL ARGUMENT X. 35113 181 ARCTANH COMPUTES THE INVERSE HYPERBOLIC TANGENT FOR A REAL ARGUMENT X. 35116 181 COMPLETE BETA-FUNCTION RATIOS I(X,P+N,Q) FOR N = 0 (1) NMAX, 0 <= X <= 1, P > 0, Q > 0. 35051 187 THE INCOMPLETE BETA-FUNCTION I(X,P,Q); 0 <= X <= 1, P > 0, Q > 0. 35050 187 COMPLETE BETA-FUNCTION RATIOS I(X,P,Q+N) FOR N = 0 (1) NMAX, 0 <= X <= 1, P > 0, Q > 0. 35052 187 IBPPLUSN COMPUTES INCOMPLETE BETA-FUNCTION RATIOS I(X,P+N,Q) FOR N = 0 (1) NMAX, 0 < 35051 187 IBQPLUSN COMPUTES INCOMPLETE BETA-FUNCTION RATIOS I(X,P,Q+N) FOR N = 0 (1) NMAX, 0 < 35052 187 ICHCOL INTERCHANGES TWO COLUMNS OF A MATRIX. 34031 11 ICHROW INTERCHANGES TWO ROWS OF MATRIX. 34032 11 1KWICINDEX 31/12/79 PAGE 14 0 ICHROWCOL INTERCHANGES A ROW AND A COLUMN OF A MATRIX. 34033 11 ICHSEQ INTERCHANGES TWO COLUMNS OF AN UPPERTRIANGULAR MATRIX, WHICH IS STORED COLUMN 34035 11 ICHSEQVEC INTERCHANGES A ROW AND A COLUMN OF AN UPPERTRIANGULAR MATRIX, WHICH IS STO 34034 11 ICHVEC INTERCHANGES TWO VECTORS GIVEN IN ARRAY A[L:U] AND ARRAY A[SHIFT + L : SHIFT 34030 11 IMPEX SOLVES AN AUTONOMOUS SYSTEM OF 1ST ORDER DIFFERENTIAL EQUATIONS ( INITIAL VALU 33135 231 ALUE PROBLEM ) BY MEANS OF AN IMPLICIT, EXPONENTIALLY FITTED 1ST ORDER ONE-STEP METHOD; AUTOMATIC STEP-SIZE CONTRO 33131 165 ALUE PROBLEM ) BY MEANS OF AN IMPLICIT, EXPONENTIALLY FITTED 1ST ORDER ONE-STEP METHOD;THIS METHOD CAN BE USED TO 33132 221 D BY GSSNRI; THIS SOLUTION IS IMPROVED ITERATIVELY AN UPPERBOUND FOR THE ERROR IN THE SOLUTION IS CALCULATED. 34253 53 R EQUATIONS; THIS SOLUTION IS IMPROVED ITERATIVELY AND AN UPPERBOUND FOR THE ERROR IN THE SOLUTION IS CALCULATED. 34254 53 M OR GSSERB. THIS SOLUTION IS IMPROVED ITERATIVELY. 34250 53 EQUATIONS AND THE SOLUTION IS IMPROVED ITERATIVELY. 34251 53 SYMEIGINP IMPROVES AN APPROXIMATION OF A REAL SYMMETRIC EIGENSYSTEM AND CALCULATES ERROR BOUND 36401 301 INCBETA COMPUTES THE INCOMPLETE BETA-FUNCTION I(X,P,Q); 0 <= X <= 1, P > 0, Q > 0. 35050 187 INCOMGAM COMPUTES THE INCOMPLETE GAMMA FUNCTIONS. 35030 187 INCBETA COMPUTES THE INCOMPLETE BETA-FUNCTION I(X,P,Q); 0 <= X <= 1, P > 0, Q > 0. 35050 187 IBPPLUSN COMPUTES INCOMPLETE BETA-FUNCTION RATIOS I(X,P+N,Q) FOR N = 0 (1) NMAX, 0 <= X <= 1, P > 0, Q 35051 187 IBQPLUSN COMPUTES INCOMPLETE BETA-FUNCTION RATIOS I(X,P,Q+N) FOR N = 0 (1) NMAX, 0 <= X <= 1, P > 0, Q 35052 187 INCOMGAM COMPUTES THE INCOMPLETE GAMMA FUNCTIONS. 35030 187 INTCHS COMPUTES THE INDEFINITE INTEGRAL OF A GIVEN CHEBYSHEV SERIES. 31248 205 S PERFORMS THE SUMMATION OF A INFINITE SERIES WITH POSITIVE MONOTONICALLY DECREASING TERMS USING THE VAN WIJNGAARD 32020 131 E SUMMATION OF AN ALTERNATING INFINITE SERIES. 32010 131 INFNRMCOL CALCULATES THE INFINITY-NORM OF A COLUMN VECTOR. 31063 241 INFNRMMAT CALCULATES THE INFINITY-NORM OF A MATRIX. 31064 241 INFNRMROW CALCULATES THE INFINITY-NORM OF A ROW VECTOR. 31062 241 INFNRMVEC CALCULATES THE INFINITY-NORM OF A VECTOR. 31061 241 INFNRMCOL CALCULATES THE INFINITY-NORM OF A COLUMN VECTOR. 31063 241 INFNRMMAT CALCULATES THE INFINITY-NORM OF A MATRIX. 31064 241 INFNRMROW CALCULATES THE INFINITY-NORM OF A ROW VECTOR. 31062 241 INFNRMVEC CALCULATES THE INFINITY-NORM OF A VECTOR. 31061 241 INI SELECTS A (SUB)SET OF INTEGERS OUT OF A GIVEN SET OF INTEGERS; IT IS AN AUXILIAR 36020 197 INIMAT INITIALIZES A MATRIX WITH A CONSTANT. 31011 1 INIMATD INITIALIZES A (CO)DIAGONAL OF A MATRIX. 31012 1 INISYMD INITIALIZES A (CO)DIAGONAL OF A SYMMETRIC MATRIX, WHOSE UPPERTRIANGLE IS STO 31013 1 INISYMROW INITIALIZES A ROW OF A SYMMETRIC MATRIX, WHOSE UPPERTRIANGLE IS STORED COL 31014 1 RDER DIFFERENTIAL EQUATIONS ( INITIAL BOUNDARY-VALUE PROBLEM ) BY MEANS OF A STABILIZED RUNGE-KUTTA METHOD, IN PAR 33066 295 RDER DIFFERENTIAL EQUATIONS ( INITIAL VALUE PROBLEM ) BY MEANS OF A STABILIZED RUNGE-KUTTA METHOD WITH LIMITED STO 33061 155 RDER DIFFERENTIAL EQUATIONS ( INITIAL VALUE PROBLEM ) BY MEANS OF A VARIABLE ORDER MULTISTEP METHOD ADAMS-MOULTON, 33080 151 RDER DIFFERENTIAL EQUATIONS ( INITIAL VALUE PROBLEM ) BY MEANS OF A VARIABLE ORDER TAYLOR METHOD; THIS METHOD CAN 33050 169 RDER DIFFERENTIAL EQUATIONS ( INITIAL VALUE PROBLEM ) BY MEANS OF A 1ST, 2ND OR 3RD ORDER ONE-STEP TAYLOR METHOD; 33040 167 RDER DIFFERENTIAL EQUATIONS ( INITIAL VALUE PROBLEM ) BY MEANS OF A 1ST, 2ND OR 3RD ORDER, EXPONENTIONALLY FITTED 33070 157 RDER DIFFERENTIAL EQUATIONS ( INITIAL VALUE PROBLEM ) BY MEANS OF A 3RD ORDER MULTISTEP METHOD; THIS METHOD CAN BE 33191 223 RDER DIFFERENTIAL EQUATIONS ( INITIAL VALUE PROBLEM ) BY MEANS OF A 3RD ORDER, EXPONENTIALLY FITTED, SEMI-IMPLICIT 33160 159 RDER DIFFERENTIAL EQUATIONS ( INITIAL VALUE PROBLEM ) BY MEANS OF A 5TH ORDER RUNGE-KUTTA METHOD. 33033 143 ORDER DIFFERENTIAL EQUATION ( INITIAL VALUE PROBLEM ) BY MEANS OF A 5TH ORDER RUNGE-KUTTA METHOD. 33012 171 RDER DIFFERENTIAL EQUATIONS ( INITIAL VALUE PROBLEM ) BY MEANS OF A 5TH ORDER RUNGE-KUTTA METHOD. 33013 173 RDER DIFFERENTIAL EQUATIONS ( INITIAL VALUE PROBLEM ) BY MEANS OF A 5TH ORDER RUNGE-KUTTA METHOD; THE ARC LENGTH I 33018 149 RDER DIFFERENTIAL EQUATIONS ( INITIAL VALUE PROBLEM ) BY MEANS OF A 5TH ORDER RUNGE-KUTTA METHOD; THE INTEGRATION 33017 147 ORDER DIFFERENTIAL EQUATION ( INITIAL VALUE PROBLEM ) BY MEANS OF A 5TH ORDER RUNGE-KUTTA METHOD; THIS METHOD CAN 33014 175 RDER DIFFERENTIAL EQUATIONS ( INITIAL VALUE PROBLEM ) BY MEANS OF A 5TH ORDER RUNGE-KUTTA METHOD; THIS METHOD CAN 33015 177 RDER DIFFERENTIAL EQUATIONS ( INITIAL VALUE PROBLEM ) BY MEANS OF AN EXPONENTIALLY FITTED, 3RD ORDER RUNGE-KUTTA M 33120 161 RDER DIFFERENTIAL EQUATIONS ( INITIAL VALUE PROBLEM ) BY MEANS OF AN IMPLICIT, EXPONENTIALLY FITTED 1ST ORDER ONE- 33131 165 RDER DIFFERENTIAL EQUATIONS ( INITIAL VALUE PROBLEM ) BY MEANS OF AN IMPLICIT, EXPONENTIALLY FITTED 1ST ORDER ONE- 33132 221 RDER DIFFERENTIAL EQUATIONS ( INITIAL VALUE PROBLEM ) BY MEANS OF THE IMPLICIT MIDPOINT RULE WITH SMOOTHING AND EX 33135 231 RDER DIFFERENTIAL EQUATIONS ( INITIAL VALUE PROBLEM ); BY EXTRAPOLATION, APPLIED TO LOW ORDER RESULTS, A HIGH ORDE 33180 153 INIMATD INITIALIZES A (CO)DIAGONAL OF A MATRIX. 31012 1 INISYMD INITIALIZES A (CO)DIAGONAL OF A SYMMETRIC MATRIX, WHOSE UPPERTRIANGLE IS STORED COLU 31013 1 1KWICINDEX 31/12/79 PAGE 15 0 INIMAT INITIALIZES A MATRIX WITH A CONSTANT. 31011 1 INISYMROW INITIALIZES A ROW OF A SYMMETRIC MATRIX, WHOSE UPPERTRIANGLE IS STORED COLUMNWISE IN 31014 1 INIVEC INITIALIZES A VECTOR WITH A CONSTANT. 31010 1 INIVEC INITIALIZES A VECTOR WITH A CONSTANT. 31010 1 INTCAP DELIVERS THE INTEGER CAPACITY. 30005 275 INTCHS COMPUTES THE INDEFINITE INTEGRAL OF A GIVEN CHEBYSHEV SERIES. 31248 205 WHERE U IS A LONG NONNEGATIVE INTEGER AND POWER IS THE POSITIVE ( SINGLE-LENGTH ) EXPONENT. 31204 201 INTCAP DELIVERS THE INTEGER CAPACITY. 30005 275 S THE SUM OF LONG NONNEGATIVE INTEGERS. 31200 201 IFFERENCE OF LONG NONNEGATIVE INTEGERS. 31201 201 E PRODUCT OF LONG NONNEGATIVE INTEGERS. 31202 201 REMAINDER OF LONG NONNEGATIVE INTEGERS. 31203 201 EI CALCULATES THE EXPONENTIAL INTEGRAL . 35080 183 INTEGRAL CALCULATES THE DEFINITE INTEGRAL OF A FUNCTION OF ONE VARIABLE OVER A FINIT 32051 135 INTEGRAL SI(X) AND THE COSINE INTEGRAL CI(X). 35084 185 QADRAT COMPUTES THE DEFINITE INTEGRAL OF A FUNCTION OF ONE VARIABLE OVER A FINITE INTERVAL. 32070 133 EGRAL CALCULATES THE DEFINITE INTEGRAL OF A FUNCTION OF ONE VARIABLE OVER A FINITE OR INFINITE INTERVAL OR OVER A 32051 135 TRICUB COMPUTES THE DEFINITE INTEGRAL OF A FUNCTION OF TWO VARIABLES OVER A TRIANGULAR DOMAIN. 32075 257 NTCHS COMPUTES THE INDEFINITE INTEGRAL OF A GIVEN CHEBYSHEV SERIES. 31248 205 SINCOSINT CALCULATES THE SINE INTEGRAL SI(X) AND THE COSINE INTEGRAL CI(X). 35084 185 RESNEL CALCULATES THE FRESNEL INTEGRALS C(X) AND S(X). 35027 227 TES A SEQUENCE OF EXPONENTIAL INTEGRALS E(N,X) = THE INTEGRAL FROM 1 TO INFINITY OF EXP(-X * T) T**N DT. 35086 183 ICHROWCOL INTERCHANGES A ROW AND A COLUMN OF A MATRIX. 34033 11 ICHSEQVEC INTERCHANGES A ROW AND A COLUMN OF AN UPPERTRIANGULAR MATRIX, WHICH IS STORED COLUMN 34034 11 ICHCOL INTERCHANGES TWO COLUMNS OF A MATRIX. 34031 11 ICHSEQ INTERCHANGES TWO COLUMNS OF AN UPPERTRIANGULAR MATRIX, WHICH IS STORED COLUMNWISE IN 34035 11 ICHROW INTERCHANGES TWO ROWS OF MATRIX. 34032 11 ICHVEC INTERCHANGES TWO VECTORS GIVEN IN ARRAY A[L:U] AND ARRAY A[SHIFT + L : SHIFT + U]. 34030 11 WTON POLYNOMIAL THROUGH GIVEN INTERPOLATION POINTS AND CORRESPONDING FUNCTION VALUES. 36010 195 INV CALCULATES THE INVERSE OF A MATRIX THAT HAS BEEN TRIANGULARLY DECOMPOSED BY DEC. 34053 51 INVERSE ERROR FUNCTION CALCULATES THE INVERSE ERROR FUNCTION Y = INVERF(X). 35023 227 ARCCOSH COMPUTES THE INVERSE HYPERBOLIC COSINE FOR A REAL ARGUMENT X. 35115 181 ARCSINH COMPUTES THE INVERSE HYPERBOLIC SINE FOR A REAL ARGUMENT X. 35114 181 ARCTANH COMPUTES THE INVERSE HYPERBOLIC TANGENT FOR A REAL ARGUMENT X. 35116 181 RIDIAGONAL MATRIX BY MEANS OF INVERSE ITERATION. 34152 111 AND EIGENVECTORS BY MEANS OF INVERSE ITERATION. 34156 113 AND EIGENVECTORS BY MEANS OF INVERSE ITERATION. 34154 113 HESSENBERG MATRIX BY MEANS OF INVERSE ITERATION. 34181 115 HESSENBERG MATRIX BY MEANS OF INVERSE ITERATION. 34191 115 CALCULATES THE 1-NORM OF THE INVERSE MATRIX. 34252 45 GSSINVERB CALCULATES THE INVERSE OF A MATRIX AND 1-NORM, AN UPPERBOUND FOR THE ERROR IN THE INVERSE MATRIX IS 34244 51 INV CALCULATES THE INVERSE OF A MATRIX THAT HAS BEEN TRIANGULARLY DECOMPOSED BY DEC. 34053 51 INV1 CALCULATES THE INVERSE OF A MATRIX THAT HAS BEEN TRIANGULARLY DECOMPOSED BY GSSELM OR GSSERB.THE 1- 34235 51 DECINV CALCULATES THE INVERSE OF A MATRIX WHOSE ORDER IS SMALL RELATIVE TO THE NUMBER OF BINARY DIGITS IN 34302 51 CALCULATES THE 1-NORM OF THE INVERSE OF A MATRIX WHOSE TRIANGULARLY DECOMPOSED FORM IS DELIVERED BY GSSELM. 34240 45 GSSINV CALCULATES THE INVERSE OF A MATRIX. 34236 51 CHLDECINV2 CALCULATES THE INVERSE OF A POSITIVE DEFINITE SYMMETRIC MATRIX BY CHOLESKY'S SQUARE ROOT METHOD; TH 34402 61 CHLDECINV1 CALCULATES THE INVERSE OF A POSITIVE DEFINITE SYMMETRIC MATRIX BY CHOLESKY'S SQUARE ROOT METHOD; TH 34403 61 CHLINV2 CALCULATES THE INVERSE OF A POSITIVE DEFINITE SYMMETRIC MATRIX, IF THE MATRIX HAS BEEN DECOMPOSED B 34400 61 CHLINV1 CALCULATES THE INVERSE OF A POSITIVE DEFINITE SYMMETRIC MATRIX, IF THE MATRIX HAS BEEN DECOMPOSED B 34401 61 LSQINV CALCULATES THE INVERSE OF THE MATRIX S'S, WHERE S IS THE COEFFICIENT MATRIX OF A LINEAR LEAST SQUAR 34136 207 INV1 CALCULATES THE INVERSE OF A MATRIX THAT HAS BEEN TRIANGULARLY DECOMPOSED BY GSS 34235 51 AL MATRIX BY MEANS OF INVERSE ITERATION. 34152 111 IAGONAL MATRIX BY MEANS OF QR ITERATION. 34160 111 IAGONAL MATRIX BY MEANS OF QR ITERATION. 34161 111 ENVECTORS BY MEANS OF INVERSE ITERATION. 34156 113 1KWICINDEX 31/12/79 PAGE 16 0 ENVECTORS BY MEANS OF INVERSE ITERATION. 34154 113 MMETRIC MATRIX BY MEANS OF QR ITERATION. 34164 113 MMETRIC MATRIX BY MEANS OF QR ITERATION. 34162 113 MMETRIC MATRIX BY MEANS OF QR ITERATION. 34163 113 E REAL, BY MEANS OF SINGLE QR ITERATION. 34180 115 RG MATRIX BY MEANS OF INVERSE ITERATION. 34181 115 E REAL, BY MEANS OF SINGLE QR ITERATION. 34186 115 MATRIX BY MEANS OF DOUBLE QR ITERATION. 34190 115 RG MATRIX BY MEANS OF INVERSE ITERATION. 34191 115 OF A NON-STATIONARY 2ND ORDER ITERATIVE METHOD. 33170 225 OF A NON-STATIONARY 2ND ORDER ITERATIVE METHOD, WHICH IS AN ACCELERATION OF RICHARDSON'S METHOD. 33171 225 RI; THIS SOLUTION IS IMPROVED ITERATIVELY AN UPPERBOUND FOR THE ERROR IN THE SOLUTION IS CALCULATED. 34253 53 NS; THIS SOLUTION IS IMPROVED ITERATIVELY AND AN UPPERBOUND FOR THE ERROR IN THE SOLUTION IS CALCULATED. 34254 53 RB. THIS SOLUTION IS IMPROVED ITERATIVELY. 34250 53 AND THE SOLUTION IS IMPROVED ITERATIVELY. 34251 53 ITISOL SOLVES A SYSTEM OF LINEAR EQUATIONS WHOSE MATRIX HAS BEEN TRIANGULARLY DECOMP 34250 53 ITISOLERB SOLVES A SYSTEM OF LINEAR EQUATIONS WHOSE MATRIX HAS TRIANGULARLY DECOMPOS 34253 53 IXPFIX IS AN AUXILIARY PROCEDURE FOR THE COMPUTATION OF INCOMPLETE BESSELFUNCTIONS. 35054 187 IXQFIX IS AN AUXILIARY PROCEDURE FOR THE COMPUTATION OF INCOMPLETE BESSELFUNCTIONS. 35053 187 CISSAE AND WEIGHTS FOR GAUSS- JACOBI QUADRATURE. 31425 291 LINEAR EQUATIONS OF WHICH THE JACOBIAN ( BEING A BAND MATRIX ) IS GIVEN. 34430 217 LINEAR EQUATIONS OF WHICH THE JACOBIAN IS A BAND MATRIX. 34431 217 JACOBNMF CALCULATES THE JACOBIAN MATRIX OF AN N-DIMENSIONAL FUNCTION OF M VARIABLES USING FORWARD DIFFERENCE 34438 213 JACOBNNF CALCULATES THE JACOBIAN MATRIX OF AN N-DIMENSIONAL FUNCTION OF N VARIABLES USING FORWARD DIFFERENCE 34437 213 JACOBNBNDF CALCULATES THE JACOBIAN MATRIX OF AN N-DIMENSIONAL FUNCTION OF N VARIABLES, IF THE JACOBIAN IS KNOW 34439 213 ZER CALCULATES THE ZEROS OF A JACOBIAN POLYNOMIAL. 31370 211 JACOBNBNDF CALCULATES THE JACOBIAN MATRIX OF AN N-DIMENSIONAL FUNCTION OF N VARIABLE 34439 213 JACOBNMF CALCULATES THE JACOBIAN MATRIX OF AN N-DIMENSIONAL FUNCTION OF M VARIABLES 34438 213 JACOBNNF CALCULATES THE JACOBIAN MATRIX OF AN N-DIMENSIONAL FUNCTION OF N VARIABLES 34437 213 JFRAC CALCULATES A TERMINATING CONTINUED FRACTION. 35083 41 CISSAE AND WEIGHTS FOR GAUSS- LAGRANGE QUADRATURE. 31427 291 ZER CALCULATES THE ZEROS OF A LAGUERRE POLYNOMIAL. 31371 211 IAL WITH REAL COEFFICIENTS BY LAGUERRE'S METHOD. 34501 311 CALCULATES THE MODULUS OF THE LARGEST ELEMENT OF A MATRIX AND DELIVERS THE INDICES OF THE MAXIMAL ELEMENT. 31069 241 GIANT DELIVERS THE LARGEST REPRESENTABLE REAL NUMBER. 30004 275 LSQORTDECSOL SOLVES A LINEAR LEAST SQUARES PROBLEM BY HOUSEHOLDER TRIANGULARIZATION WITH COLUMN INTERCHANGES AND 34135 65 LSQSOL SOLVES A LINEAR LEAST SQUARES PROBLEM IF THE COEFFICIENT MATRIX HAS BEEN DECOMPOSED BY LSQORTDEC. 34131 65 QR- DECOMPOSITION OF A LINEAR LEAST SQUARES PROBLEM WITH LINEAR CONSTRAINTS. 34137 309 LSQREFSOL SOLVES A LINEAR LEAST SQUARES PROBLEM WITH LINEAR CONSTRAINTS, IF THE MATRIX HAS BEEN DECOMPOSED BY 34138 309 GES OF THE MATRIX OF A LINEAR LEAST SQUARES PROBLEM. 34134 63 OEFFICIENT MATRIX OF A LINEAR LEAST SQUARES PROBLEM. 34136 207 MARQUARDT CALCULATES THE LEAST SQUARES SOLUTION OF AN OVERDETERMINED SYSTEM OF NON-LINEAR EQUATIONS WITH MARQ 34440 219 GSSNEWTON CALCULATES THE LEAST SQUARES SOLUTION OF AN OVERDETERMINED SYSTEM OF NON-LINEAR EQUATIONS WITH THE 34441 219 AR LEAST SQUARES PROBLEM WITH LINEAR CONSTRAINTS. 34137 309 AR LEAST SQUARES PROBLEM WITH LINEAR CONSTRAINTS, IF THE MATRIX HAS BEEN DECOMPOSED BY LSQDECOMP. 34138 309 VES THE HOMOGENEOUS SYSTEM OF LINEAR EQUATIONS A * X = 0 AND X' * A = 0, WHERE "A" DENOTES A MATRIX AND "X" A VECT 34284 71 GSSSOLERB SOLVES A SYSTEM OF LINEAR EQUATIONS AND CALCULATES A ROUGH UPPERBOUND FOR THE RELATIVE ERROR IN THE CAL 34243 49 OF THE MATRIX OF A SYSTEM OF LINEAR EQUATIONS AND CALCULATES AN UPPERBOUND FOR THE RELATIVE ERROR IN THE SOLUTION 34242 45 OLVES A TRIDIAGONAL SYSTEM OF LINEAR EQUATIONS AND PERFORMS THE TRIANGULAR DECOMPOSITION WITH PARTIAL PIVOTING. 34428 83 OLVES A TRIDIAGONAL SYSTEM OF LINEAR EQUATIONS AND PERFORMS THE TRIANGULAR DECOMPOSITION WITHOUT PIVOTING. 34425 83 MMETRIC TRIDIAGONAL SYSTEM OF LINEAR EQUATIONS AND PERFORMS THE TRIDIAGONAL DECOMPOSITION. 34422 93 GSSITISOL SOLVES A SYSTEM OF LINEAR EQUATIONS AND THE SOLUTION IS IMPROVED ITERATIVELY. 34251 53 DEFINITE SYMMETRIC SYSTEM OF LINEAR EQUATIONS BY CHOLESKY'S SQUARE ROOT METHOD; THE COEFFICIENT MATRIX SHOULD BE 34392 59 DEFINITE SYMMETRIC SYSTEM OF LINEAR EQUATIONS BY CHOLESKY'S SQUARE ROOT METHOD; THE COEFFICIENT MATRIX SHOULD BE 34393 59 DECSOLBND SOLVES A SYSTEM OF LINEAR EQUATIONS BY GAUSSIAN ELIMINATION WITH PARTIAL PIVOTING IF THE COEFFICIENT MA 34322 79 SOLVES A SYMMETRIC SYSTEM OF LINEAR EQUATIONS BY SYMMETRIC DECOMPOSITION. 34293 307 1KWICINDEX 31/12/79 PAGE 17 0 DEFINITE SYMMETRIC SYSTEM OF LINEAR EQUATIONS BY THE METHOD OF CONJUGATE GRADIENTS. 34220 95 CHLSOL1 SOLVES A SYSTEM OF LINEAR EQUATIONS IF THE COEFFICIENT MATRIX HAS BEEN DECOMPOSED BY CHLDEC1 OR CHLDECS 34391 59 CHLSOL2 SOLVES A SYSTEM OF LINEAR EQUATIONS IF THE COEFFICIENT MATRIX HAS BEEN DECOMPOSED BY CHLDEC2 OR CHLDECS 34390 59 SOLVES A SYMMETRIC SYSTEM OF LINEAR EQUATIONS IF THE COEFFICIENT MATRIX HAS BEEN DECOMPOSED BY DECSYM2 OR DECSOLS 34292 307 VES THE HOMOGENEOUS SYSTEM OF LINEAR EQUATIONS OF EQUATIONS A * X = 0 AND X' * A = 0, WHERE "A" DENOTES A MATRIX A 34285 71 OLVES A TRIDIAGONAL SYSTEM OF LINEAR EQUATIONS THE TRIANGULAR DECOMPOSITION BEING GIVEN. 34424 83 OLVES A TRIDIAGONAL SYSTEM OF LINEAR EQUATIONS THE TRIANGULAR DECOMPOSITION BEING GIVEN. 34427 83 SOL SOLVES THE SYSTEM OF LINEAR EQUATIONS WHOSE MATRIX HAS BEEN TRIANGULARLY DECOMPOSED BY DEC. 34051 49 SOLELM SOLVES A SYSTEM OF LINEAR EQUATIONS WHOSE MATRIX HAS BEEN TRIANGULARLY DECOMPOSED BY GSSELM OR GSSERB. 34061 49 ITISOL SOLVES A SYSTEM OF LINEAR EQUATIONS WHOSE MATRIX HAS BEEN TRIANGULARLY DECOMPOSED BY GSSELM OR GSSERB. 34250 53 ITISOLERB SOLVES A SYSTEM OF LINEAR EQUATIONS WHOSE MATRIX HAS TRIANGULARLY DECOMPOSED BY GSSNRI; THIS SOLUTION I 34253 53 N THE SOLUTION OF A SYSTEM OF LINEAR EQUATIONS WHOSE MATRIX IS TRIANGULARLY DECOMPOSED BY GSSELM. 34241 45 DECSOL SOLVES A SYSTEM OF LINEAR EQUATIONS WHOSE ORDER IS SMALL RELATIVE TO THE NUMBER OF BINARY DIGITS IN THE 34301 49 RICHARDSON SOLVES A SYSTEM OF LINEAR EQUATIONS WITH POSITIVE REAL EIGENVALUES ( ELLIPTIC BOUNDARY VALUE PROBLEM ) 33170 225 LIMINATION SOLVES A SYSTEM OF LINEAR EQUATIONS WITH POSITIVE REAL EIGENVALUES ( ELLIPTIC BOUNDARY VALUE PROBLEM ) 33171 225 GSSSOL SOLVES A SYSTEM OF LINEAR EQUATIONS. 34232 49 S AN OVERDETERMINED SYSTEM OF LINEAR EQUATIONS. 34281 67 AN UNDERDETERMINED SYSTEM OF LINEAR EQUATIONS. 34283 69 SITISOLERB SOLVES A SYSTEM OF LINEAR EQUATIONS; THIS SOLUTION IS IMPROVED ITERATIVELY AND AN UPPERBOUND FOR THE ER 34254 53 S AN OVERDETERMINED SYSTEM OF LINEAR EQUATIONS, MULTIPLYING THE RIGHT-HAND SIDE BY THE PSEUDO-INVERSE OF THE GIVEN 34280 67 AN UNDERDETERMINED SYSTEM OF LINEAR EQUATIONS, MULTIPLYING THE RIGHT-HAND SIDE BY THE PSEUDO-INVERSE OF THE GIVEN 34282 69 SOLBND SOLVES A SYSTEM OF LINEAR EQUATIONS, THE MATRIX BEING DECOMPOSED BY DECBND. 34071 79 MMETRIC TRIDIAGONAL SYSTEM OF LINEAR EQUATIONS, THE TRIANGULAR DECOMPOSITION BEING GIVEN. 34421 93 LSQORTDECSOL SOLVES A LINEAR LEAST SQUARES PROBLEM BY HOUSEHOLDER TRIANGULARIZATION WITH COLUMN INTERCHANG 34135 65 LSQSOL SOLVES A LINEAR LEAST SQUARES PROBLEM IF THE COEFFICIENT MATRIX HAS BEEN DECOMPOSED BY LSQORT 34131 65 ES THE QR- DECOMPOSITION OF A LINEAR LEAST SQUARES PROBLEM WITH LINEAR CONSTRAINTS. 34137 309 LSQREFSOL SOLVES A LINEAR LEAST SQUARES PROBLEM WITH LINEAR CONSTRAINTS, IF THE MATRIX HAS BEEN DECOMPO 34138 309 TERCHANGES OF THE MATRIX OF A LINEAR LEAST SQUARES PROBLEM. 34134 63 S THE COEFFICIENT MATRIX OF A LINEAR LEAST SQUARES PROBLEM. 34136 207 A POSITIVE DEFINITE SYMMETRIC LINEAR SYSTEM AND PERFORMS THE TRIANGULAR DECOMPOSITION BY CHOLESKY'S METHOD. 34333 89 A POSITIVE DEFINITE SYMMETRIC LINEAR SYSTEM, THE TRIANGULAR DECOMPOSITION BEING GIVEN. 34332 89 FEMHERMSYM SOLVES A LINEAR TWO-POINT BOUNDARY-VALUE PROBLEM FOR A FOURTH ORDER SELF-ADJOINT DIFFERENTIAL 33303 265 FEMLAGSKEW SOLVES A LINEAR TWO-POINT BOUNDARY-VALUE PROBLEM FOR A SECOND ORDER DIFFERENTIAL EQUATION BY 33302 263 FEMLAGSYM SOLVES A LINEAR TWO-POINT BOUNDARY-VALUE PROBLEM FOR A SECOND ORDER SELF-ADJOINT DIFFERENTIAL 33300 261 FEMLAG SOLVES A LINEAR TWO-POINT BOUNDARY-VALUE PROBLEM FOR A SECOND ORDER SELF-ADJOINT DIFFERENTIAL 33301 261 FEMLAGSPHER SOLVES A LINEAR TWO-POINT BOUNDARY-VALUE PROBLEM FOR A SECOND ORDER SELF-ADJOINT DIFFERENTIAL 33308 261 LINEMIN MINIMIZES A FUNCTION OF SEVERAL VARIABLES IN A GIVEN DIRECTION. 34210 139 LINIGER1VS SOLVES AN AUTONOMOUS SYSTEM OF 1ST ORDER DIFFERENTIAL EQUATIONS ( INITIAL 33132 221 LINIGER2 SOLVES AN AUTONOMOUS SYSTEM OF 1ST ORDER DIFFERENTIAL EQUATIONS ( INITIAL V 33131 165 LINTFMPOL TRANSFORMS A POLYNOMIAL IN X INTO A POLYNOMIAL IN Y (Y = A*X + B). 31250 43 LNGADD ADDS TWO DOUBLE PRECISION NUMBERS. 31105 271 LNGDIV DIVIDES TWO DOUBLE PRECISION NUMBERS. 31108 271 LNGFULMATVEC CALCULATES BY DOUBLE PRECISION ARITHMETIC THE PRODUCT A * B, WHERE A IS 31505 285 LNGFULSYMMATVEC CALCULATES BY DOUBLE PRECISION ARITHMETIC THE PRODUCT A * B, WHERE A 31507 285 LNGFULTAMVEC CALCULATES BY DOUBLE PRECISION ARITHMETIC THE PRODUCT A' * B, WHERE A' 31506 285 LNGINTADD COMPUTES THE SUM OF LONG NONNEGATIVE INTEGERS. 31200 201 LNGINTDIVIDE COMPUTES THE QUOTIENT WITH REMAINDER OF LONG NONNEGATIVE INTEGERS. 31203 201 LNGINTMULT COMPUTES THE PRODUCT OF LONG NONNEGATIVE INTEGERS. 31202 201 LNGINTPOWER COMPUTES U**POWER, WHERE U IS A LONG NONNEGATIVE INTEGER AND POWER IS TH 31204 201 LNGINTSUBTRACT COMPUTES THE DIFFERENCE OF LONG NONNEGATIVE INTEGERS. 31201 201 LNGMATMAT CALCULATES THE SCALAR PRODUCT OF A ROW OF A VECTOR AND A COLUMN VECTOR BY 34413 285 LNGMATTAM CALCULATES THE SCALAR PRODUCT OF TWO ROW VECTORS BY DOUBLE PRECISION ARITH 34415 285 LNGMATVEC CALCULATES THE SCALAR PRODUCT OF A VECTOR AND A ROW VECTOR BY DOUBLE PRECI 34411 285 LNGMUL MULTIPLIES TWO DOUBLE PRECISION NUMBERS. 31107 271 LNGPOW COMPUTES THE DOUBLE PRECISION POWER OF A DOUBLE PRECISION NUMBER. 31110 271 LNGREATODECI CONVERTS A DOUBLE PRECISION NUMBER TO ITS DECIMAL REPRESENTATION. 31100 289 LNGRESVEC CALCULATES BY DOUBLE PRECISION ARITHMETIC THE RESIDUAL VECTOR A * B + X * 31508 285 1KWICINDEX 31/12/79 PAGE 18 0 LNGSCAPRD1 CALCULATES THE SCALAR PRODUCT OF TWO VECTORS GIVEN IN ONE-DIMENSIONAL ARR 34417 285 LNGSEQVEC CALCULATES THE SCALAR PRODUCT OF TWO VECTORS GIVEN IN ONE-DIMENSIONAL ARRA 34416 285 LNGSUB SUBTRACTS TWO DOUBLE PRECISION NUMBERS. 31106 271 LNGSYMMATVEC CALCULATES THE SCALAR PRODUCT OF A VECTOR GIVEN IN A ONE-DIMENSIONAL AR 34418 285 LNGSYMRESVEC CALCULATES BY DOUBLE PRECISION ARITHMETIC THE RESIDUAL VECTOR A * B + X 31509 285 LNGTAMMAT CALCULATES THE SCALAR PRODUCT OF TWO COLUMN VECTORS BY DOUBLE PRECISION AR 34414 285 LNGTAMVEC CALCULATES THE SCALAR PRODUCT OF A VECTOR AND A COLUMN VECTOR BY DOUBLE PR 34412 285 LNGVECVEC CALCULATES THE SCALAR PRODUCT OF TWO VECTORS BY DOUBLE LENTGH ARITHMETIC. 34410 285 LOG GAMMA CALCULATES THE NATURAL LOGARITHM OF THE GAMMA FUNCTION FOR POSITIVE ARGUME 35062 187 GAMMA CALCULATES THE NATURAL LOGARITHM OF THE GAMMA FUNCTION FOR POSITIVE ARGUMENTS. 35062 187 LOGONEPLUSX EVALUATES THE LOGARITHMIC FUNCTION LN(1+X). 35130 315 LOGONEPLUSX EVALUATES THE LOGARITHMIC FUNCTION LN(1+X). 35130 315 MPUTES U**POWER, WHERE U IS A LONG NONNEGATIVE INTEGER AND POWER IS THE POSITIVE ( SINGLE-LENGTH ) EXPONENT. 31204 201 LNGINTADD COMPUTES THE SUM OF LONG NONNEGATIVE INTEGERS. 31200 201 CT COMPUTES THE DIFFERENCE OF LONG NONNEGATIVE INTEGERS. 31201 201 TMULT COMPUTES THE PRODUCT OF LONG NONNEGATIVE INTEGERS. 31202 201 HE QUOTIENT WITH REMAINDER OF LONG NONNEGATIVE INTEGERS. 31203 201 LSQDECOMP COMPUTES THE QR- DECOMPOSITION OF A LINEAR LEAST SQUARES PROBLEM WITH LINE 34137 309 LSQDGLINV CALCULATES THE DIAGONAL ELEMENTS OF THE INVERSE OF M'M, WHERE M IS THE COE 34132 63 LSQINV CALCULATES THE INVERSE OF THE MATRIX S'S, WHERE S IS THE COEFFICIENT MATRIX O 34136 207 LSQORTDEC DELIVERS THE HOUSEHOLDER TRIANGULARIZATION WITH COLUMN INTERCHANGES OF THE 34134 63 LSQORTDECSOL SOLVES A LINEAR LEAST SQUARES PROBLEM BY HOUSEHOLDER TRIANGULARIZATION 34135 65 LSQREFSOL SOLVES A LINEAR LEAST SQUARES PROBLEM WITH LINEAR CONSTRAINTS, IF THE MATR 34138 309 LSQSOL SOLVES A LINEAR LEAST SQUARES PROBLEM IF THE COEFFICIENT MATRIX HAS BEEN DECO 34131 65 LUPZERORTPOL CALCULATES A NUMBER OF ADJACENT UPPER OR LOWER ZEROS OF AN ORTHOGONAL P 31363 211 MARQUARDT CALCULATES THE LEAST SQUARES SOLUTION OF AN OVERDETERMINED SYSTEM OF NON-L 34440 219 MATMAT := SCALAR PRODUCT OF A ROW VECTOR AND A COLUMN VECTOR. 34013 7 DUPMAT COPIES A MATRIX INTO ANOTHER MATRIX. 31035 3 OMPRD PREMULTIPLIES A COMPLEX MATRIX WITH A COMPLEX HOUSEHOLDER MATRIX. 34356 23 INIMAT INITIALIZES A MATRIX WITH A CONSTANT. 31011 1 ULATES THE INFINITY-NORM OF A MATRIX. 31064 241 AT CALCULATES THE 1-NORM OF A MATRIX. 31068 241 MATTAM := SCALAR PRODUCT OF A ROW VECTOR AND A ROW VECTOR. 34015 7 MATVEC := SCALAR PRODUCT OF A ROW VECTOR AND A VECTOR. 34011 7 MAXELMROW ADDS A CONSTANT TIMES A ROW VECTOR TO A ROW VECTOR, MAXELMROW:=THE SUBSCRI 34025 9 A ROW VECTOR TO A ROW VECTOR, MAXELMROW:=THE SUBSCRIPT OF AN ELEMENT OF THE NEW ROW VECTOR WHICH IS OF MAXIMUM ABS 34025 9 MBASE DELIVERS THE BASE OF THE ARITHMETIC OF THE COMPUTOR. 30001 275 MERGESORT DELIVERS A PERMUTATION OF INDICES CORRESPONDING TO SORTING THE ELEMENTS OF 36405 297 MININ MINIMIZES A FUNCTION OF ONE VARIABLE IN A GIVEN INTERVAL. 34433 235 MININDER MINIMIZES A FUNCTION OF ONE VARIABLE IN A GIVEN INTERVAL, USING VALUES OF THE FUNCTI 34435 237 LINEMIN MINIMIZES A FUNCTION OF SEVERAL VARIABLES IN A GIVEN DIRECTION. 34210 139 RNK1MIN MINIMIZES A FUNCTION OF SEVERAL VARIABLES. 34214 19 FLEMIN MINIMIZES A FUNCTION OF SEVERAL VARIABLES. 34215 19 PRAXIS MINIMIZES A FUNCTION OF SEVERAL VARIABLES. 34432 239 MININ MINIMIZES A FUNCTION OF ONE VARIABLE IN A GIVEN INTERVAL. 34433 235 MININDER MINIMIZES A FUNCTION OF ONE VARIABLE IN A GIVEN INTERVAL, USING VALUES OF T 34435 237 MINMAXPOL CALCULATES THE COEFFICIENTS OF THE POLYNOMIAL THAT APPROXIMATES A FUNCTION 36022 197 BESS I1 CALCULATES THE MODIFIED BESSEL FUNCTION OF THE 1ST KIND OF ORDER ONE. 35171 255 NONEXP BESS I1 CALCULATES THE MODIFIED BESSEL FUNCTION OF THE 1ST KIND OF ORDER ONE; THE RESULT IS MULTIPLIED BY E 35176 255 BESS I0 CALCULATES THE MODIFIED BESSEL FUNCTION OF THE 1ST KIND OF ORDER ZERO. 35170 255 NONEXP BESS I0 CALCULATES THE MODIFIED BESSEL FUNCTION OF THE 1ST KIND OF ORDER ZERO; THE RESULT IS MULTIPLIED BY 35175 255 BESS IAPLUSN CALCULATES THE MODIFIED BESSEL FUNCTIONS OF THE 1ST KIND OF ORDER A+N, N=0,...,NMAX , A>=0 AND ARGU 35190 251 P BESS IAPLUSN CALCULATES THE MODIFIED BESSEL FUNCTIONS OF THE 1ST KIND OF ORDER A+N, N=0,...,NMAX , A>=0 AND ARGU 35193 251 BESS I CALCULATES THE MODIFIED BESSEL FUNCTIONS OF THE 1ST KIND OF ORDER L ( L = 0,...,N ). 35172 255 NONEXP BESS I CALCULATES THE MODIFIED BESSEL FUNCTIONS OF THE 1ST KIND OF ORDER L ( L = 0,...,N ); THE RESULT IS 35177 255 NEXP BESS KA01 CALCULATES THE MODIFIED BESSEL FUNCTIONS OF THE 3RD KIND OF ORDER A AND A+1, A>=0 AND ARGUMENT X, X 35194 251 1KWICINDEX 31/12/79 PAGE 19 0 BESS KA01 CALCULATES THE MODIFIED BESSEL FUNCTIONS OF THE 3RD KIND OF ORDER A AND A+1, A>=0, AND ARGUMENT X, 35191 251 P BESS KAPLUSN CALCULATES THE MODIFIED BESSEL FUNCTIONS OF THE 3RD KIND OF ORDER A+N, N=0,...,NMAX , A>=0 AND ARGU 35195 251 BESS KAPLUSN CALCULATES THE MODIFIED BESSEL FUNCTIONS OF THE 3RD KIND OF ORDER A+N, N=0,...,NMAX , A>=0, AND ARG 35192 251 BESS K CALCULATES THE MODIFIED BESSEL FUNCTIONS OF THE 3RD KIND OF ORDER L ( L = 0,...,N ) WITH ARGUMENT X 35174 255 NONEXP BESS K CALCULATES THE MODIFIED BESSEL FUNCTIONS OF THE 3RD KIND OF ORDER L ( L = 0,...,N ) WITH ARGUMENT X 35179 255 ONEXP BESS K01 CALCULATES THE MODIFIED BESSEL FUNCTIONS OF THE 3RD KIND OF ORDER ZERO AND ONE WITH ARGUMENT X, X>0 35178 255 BESS K01 CALCULATES THE MODIFIED BESSEL FUNCTIONS OF THE 3RD KIND OF ORDERS ZERO AND ONE WITH ARGUMENT X, X 35173 255 TRIX COLUMNS ACCORDING TO THE MODIFIED GRAM-SMIDT METHOD. 36402 299 P SPHER BESS I CALCULATES THE MODIFIED SPHERICAL BESSEL FUNCTIONS OF THE 1ST KIND MULTIPIED BY EXP(-X): I[K+.5](X) 35154 247 SPHER BESS I CALCULATES THE MODIFIED SPHERICAL BESSEL FUNCTIONS OF THE 1ST KIND: I[K+.5](X)*SQRT(PI (2*X)), K=0, 35152 247 P SPHER BESS K CALCULATES THE MODIFIED SPHERICAL BESSEL FUNCTIONS OF THE 3RD KIND MULTIPLIED BY EXP(+X): K[I+.5](X 35155 247 SPHER BESS K CALCULATES THE MODIFIED SPHERICAL BESSEL FUNCTIONS OF THE 3RD KIND: K[I+.5](X)*SQRT(PI (2*X)), I=0, 35153 247 MODIFIED TAYLOR SOLVES A SYSTEM OF 1ST ORDER DIFFERENTIAL EQUATIONS ( INITIAL VALUE 33040 167 COMABS CALCULATES THE MODULUS OF A COMPLEX NUMBER. 34340 35 MULCOL STORES A CONSTANT MULTIPLIED BY A COLUMN VECTOR INTO A COLUMN VECTOR. 31022 5 MULROW STORES A CONSTANT MULTIPLIED BY A ROW VECTOR INTO A ROW VECTOR. 31021 5 MULCOL STORES A CONSTANT MULTIPLIED BY A COLUMN VECTOR INTO A COLUMN VECTOR. 31022 5 MULROW STORES A CONSTANT MULTIPLIED BY A ROW VECTOR INTO A ROW VECTOR. 31021 5 MULVEC STORES A CONSTANT MULTIPLIED BY A VECTOR INTO A VECTOR. 31020 5 COLCST MULTIPLIES A COLUMN VECTOR BY A CONSTANT. 31131 5 COMCOLCST MULTIPLIES A COMPLEX COLUMN VECTOR BY A COMPLEX NUMBER. 34352 21 COMROWCST MULTIPLIES A COMPLEX ROW VECTOR BY A COMPLEX NUMBER. 34353 21 ROWCST MULTIPLIES A ROW VECTOR BY A CONSTANT. 31132 5 LNGMUL MULTIPLIES TWO DOUBLE PRECISION NUMBERS. 31107 271 DPMUL MULTIPLIES TWO SINGLE PRECISION NUMBERS TO A DOUBLE PRECISION PRODUCT. 31103 271 LEM ) BY MEANS OF A 3RD ORDER MULTISTEP METHOD; THIS METHOD CAN BE USED TO SOLVE STIFF SYSTEMS. 33191 223 MULTISTEP SOLVES A SYSTEM OF 1ST ORDER DIFFERENTIAL EQUATIONS ( INITIAL VALUE PROBLE 33080 151 MULVEC STORES A CONSTANT MULTIPLIED BY A VECTOR INTO A VECTOR. 31020 5 LOG GAMMA CALCULATES THE NATURAL LOGARITHM OF THE GAMMA FUNCTION FOR POSITIVE ARGUMENTS. 35062 187 OF THE 2ND KIND ( ALSO CALLED NEUMANN'S FUNCTIONS ) OF ORDER A AND A+1 ( A>=0 ) AND ARGUMENT X>0. 35181 249 NEWGRN TRANSFORMS A POLYNOMIAL FROM NEWTON SUM INTO POWER SUM FORM. 31050 43 NEWTON CALCULATES THE COEFFICIENTS OF THE NEWTON POLYNOMIAL THROUGH GIVEN INTERPOLAT 36010 195 BY A RITZ-GALERKIN METHOD AND NEWTON ITERATION. 33314 317 OLYNOMIAL FROM POWER SUM INTO NEWTON SUM FORM. 31055 43 TRANSFORMS A POLYNOMIAL FROM NEWTON SUM INTO POWER SUM FORM. 31050 43 QUANEWBND SOLVES A SYSTEM OF NON-LINEAR EQUATIONS OF WHICH THE JACOBIAN ( BEING A BAND MATRIX ) IS GIVEN. 34430 217 QUANEWBND1 SOLVES A SYSTEM OF NON-LINEAR EQUATIONS OF WHICH THE JACOBIAN IS A BAND MATRIX. 34431 217 F AN OVERDETERMINED SYSTEM OF NON-LINEAR EQUATIONS WITH MARQUARDT'S METHOD. 34440 219 F AN OVERDETERMINED SYSTEM OF NON-LINEAR EQUATIONS WITH THE GAUSS-NEWTON METHOD. 34441 219 NONLINFEMLAGSKEW SOLVES A NON-LINEAR TWO POINT BOUNDARY VALUE PROBLEM FOR A SECOND ORDER DIFFERENTIAL EQUATION 33314 317 NONEXP BESS I CALCULATES THE MODIFIED BESSEL FUNCTIONS OF THE 1ST KIND OF ORDER L ( 35177 255 NONEXP BESS IAPLUSN CALCULATES THE MODIFIED BESSEL FUNCTIONS OF THE 1ST KIND OF ORDE 35193 251 NONEXP BESS I0 CALCULATES THE MODIFIED BESSEL FUNCTION OF THE 1ST KIND OF ORDER ZERO 35175 255 NONEXP BESS I1 CALCULATES THE MODIFIED BESSEL FUNCTION OF THE 1ST KIND OF ORDER ONE; 35176 255 NONEXP BESS K CALCULATES THE MODIFIED BESSEL FUNCTIONS OF THE 3RD KIND OF ORDER L ( 35179 255 NONEXP BESS KAPLUSN CALCULATES THE MODIFIED BESSEL FUNCTIONS OF THE 3RD KIND OF ORDE 35195 251 NONEXP BESS KA01 CALCULATES THE MODIFIED BESSEL FUNCTIONS OF THE 3RD KIND OF ORDER A 35194 251 NONEXP BESS K01 CALCULATES THE MODIFIED BESSEL FUNCTIONS OF THE 3RD KIND OF ORDER ZE 35178 255 NONEXP ENX COMPUTES A SEQUENCE OF INTEGRALS EXP(X) * E(N,X). 35087 183 NONEXP SPHER BESS I CALCULATES THE MODIFIED SPHERICAL BESSEL FUNCTIONS OF THE 1ST KI 35154 247 NONEXP SPHER BESS K CALCULATES THE MODIFIED SPHERICAL BESSEL FUNCTIONS OF THE 3RD KI 35155 247 NONEXPERFC COMPUTES ERFC(X) * EXP(X*X). 35022 227 NONLINFEMLAGSKEW SOLVES A NON-LINEAR TWO-POINT BOUNDARY VALUE PROBLEM FOR A SECOND O 33314 317 NORDERPOL EVALUATES THE FIRST K NORMALIZED DERIVATIVES OF A POLYNOMIAL ( I.E. J-TH D 31242 245 RMCOL CALCULATES THE INFINITY- NORM OF A COLUMN VECTOR. 31063 241 ONENRMCOL CALCULATES THE 1- NORM OF A COLUMN VECTOR. 31067 241 CNRM CALCULATES THE EUCLIDEAN NORM OF A COMPLEX MATRIX WITH LW LOWER CODIAGONALS. 34359 31 RMMAT CALCULATES THE INFINITY- NORM OF A MATRIX. 31064 241 ONENRMMAT CALCULATES THE 1- NORM OF A MATRIX. 31068 241 1KWICINDEX 31/12/79 PAGE 20 0 RMROW CALCULATES THE INFINITY- NORM OF A ROW VECTOR. 31062 241 ONENRMROW CALCULATES THE 1- NORM OF A ROW VECTOR. 31066 241 RMVEC CALCULATES THE INFINITY- NORM OF A VECTOR. 31061 241 ONENRMVEC CALCULATES THE 1- NORM OF A VECTOR. 31065 241 POSITION AND CALCULATES THE 1- NORM OF THE INVERSE MATRIX. 34252 45 ONENRMINV CALCULATES THE 1- NORM OF THE INVERSE OF A MATRIX WHOSE TRIANGULARLY DECOMPOSED FORM IS DELIVERED BY G 34240 45 THE INVERSE OF A MATRIX AND 1- NORM, AN UPPERBOUND FOR THE ERROR IN THE INVERSE MATRIX IS ALSO GIVEN. 34244 51 RDERPOL EVALUATES THE FIRST K NORMALIZED DERIVATIVES OF A POLYNOMIAL ( I.E. J-TH DERIVATIVE (J FACTORIAL) ), J=0,1 31242 245 COMSCL NORMALIZES REAL AND COMPLEX EIGENVECTORS. 34193 29 SCLCOM NORMALIZES THE COLUMNS OF A COMPLEX MATRIX. 34360 29 REASCL NORMALIZES THE COLUMNS OF A TWO-DIMENSIONAL ARRAY. 34183 17 ODDCHEPOLSUM EVALUATES A FINITE SUM OF CHEBYSHEV POLYNOMIALS OF ODD DEGREE. 31059 229 ONENRMCOL CALCULATES THE 1-NORM OF A COLUMN VECTOR. 31067 241 ONENRMINV CALCULATES THE 1-NORM OF THE INVERSE OF A MATRIX WHOSE TRIANGULARLY DECOMP 34240 45 ONENRMMAT CALCULATES THE 1-NORM OF A MATRIX. 31068 241 ONENRMROW CALCULATES THE 1-NORM OF A ROW VECTOR. 31066 241 ONENRMVEC CALCULATES THE 1-NORM OF A VECTOR. 31065 241 BESS J1 CALCULATES THE ORDINARY BESSEL FUNCTION OF THE 1ST KIND OF ORDER ONE. 35161 253 BESS J0 CALCULATES THE ORDINARY BESSEL FUNCTION OF THE 1ST KIND OF ORDER ZERO. 35160 253 BESS J CALCULATES THE ORDINARY BESSEL FUNCTIONS OF THE 1ST KIND OF ORDER L ( L = 0,...,N ). 35162 253 BESS Y CALCULATES THE ORDINARY BESSEL FUNCTIONS OF THE 2ND KIND OF ORDER L ( L = 0,...,N ) WITH ARGUMENT X 35164 253 BESS Y01 CALCULATES THE ORDINARY BESSEL FUNCTIONS OF THE 2ND KIND ORDER ZERO AND ONE WITH ARGUMENT X; X > 0. 35163 253 ORTHOG OTHOGONALIZES SOME ADJACENT MATRIX COLUMNS ACCORDING TO THE MODIFIED GRAM-SMI 36402 299 OL CALCULATES ALL ZEROS OF AN ORTHOGONAL POLYNOMIAL. 31362 211 NT UPPER OR LOWER ZEROS OF AN ORTHOGONAL POLYNOMIAL. 31363 211 UMBER OF ADJACENT ZEROS OF AN ORTHOGONAL POLYNOMIAL. 31364 211 RECURRENCE COEFFICIENTS OF AN ORTHOGONAL POLYNOMIAL, A WEIGHT FUNCTION BEING GIVEN. 31254 313 ATES THE VALUE OF AN N-DEGREE ORTHOGONAL POLYNOMIAL, GIVEN BY A SET OF RECURRENCE COEFFICIENTS. 31044 293 ATES THE VALUE OF AN N-DEGREE ORTHOGONAL POLYNOMIAL, GIVEN BY A SET OF RECURRENCE COEFFICIENTS. 31048 293 OL EVALUATES THE VALUE OF ALL ORTHOGONAL POLYNOMIALS UP TO A GIVEN DEGREE, GIVEN A SET OF RECURRENCE COEFFICIENTS. 31045 293 YM EVALUATES THE VALUE OF ALL ORTHOGONAL POLYNOMIALS UP TO A GIVEN DEGREE, GIVEN A SET OF RECURRENCE COEFFICIENTS. 31049 293 A FINITE SERIES EXPRESSED IN ORTHOGONAL POLYNOMIALS, GIVEN BY A SET OF RECURRENCE COEFFICIENTS. 31047 293 A FINITE SERIES EXPRESSED IN ORTHOGONAL POLYNOMIALS, GIVEN BY A SET OF RECURRENCE COEFFICIENTS. 31058 293 ORTPOL EVALUATES THE VALUE OF AN N-DEGREE ORTHOGONAL POLYNOMIAL, GIVEN BY A SET OF R 31044 293 ORTPOLSYM EVALUATES THE VALUE OF AN N-DEGREE ORTHOGONAL POLYNOMIAL, GIVEN BY A SET O 31048 293 ORTHOG OTHOGONALIZES SOME ADJACENT MATRIX COLUMNS ACCORDING TO THE MODIFIED GRAM-SMIDT METH 36402 299 S DECOMPOSITION AND SOLVES AN OVERDETERMINED SYSTEM OF LINEAR EQUATIONS. 34281 67 SOLSVDOVR SOLVES AN OVERDETERMINED SYSTEM OF LINEAR EQUATIONS, MULTIPLYING THE RIGHT-HAND SIDE BY THE PS 34280 67 LEAST SQUARES SOLUTION OF AN OVERDETERMINED SYSTEM OF NON-LINEAR EQUATIONS WITH MARQUARDT'S METHOD. 34440 219 LEAST SQUARES SOLUTION OF AN OVERDETERMINED SYSTEM OF NON-LINEAR EQUATIONS WITH THE GAUSS-NEWTON METHOD. 34441 219 OVERFLOW TESTS WHETHER A VALUE IS AN OVERFLOW VALUE. 30008 275 PEIDE ESTIMATES UNKNOWN PARAMETERS IN A SYSTEM OF 1ST ORDER DIFFERENTIAL EQUATIONS; THE UNKNOWN VARIABLES MA 34444 259 OSITION WITH A COMBINATION OF PARTIAL AND COMPLETE PIVOTING. 34231 45 WO-DIMENSIONAL TIME-DEPENDENT PARTIAL DIFFERENTIAL EQUATIONS. 33066 295 TRIANGULAR DECOMPOSITION WITH PARTIAL PIVOTING. 34300 45 PEIDE ESTIMATES UNKNOWN PARAMETERS IN A SYSTEM OF 1ST ORDER DIFFERENTIAL EQUATIONS; 34444 259 BAKCOMHES PERFORMS THE BACK TRANSFORMATION CORRESPONDING TO HSHCOMHES. 34367 107 MERGESORT DELIVERS A PERMUTATION OF INDICES CORRESPONDING TO SORTING THE ELEMENTS OF A GIVEN VECTOR INTO 36405 297 N VECTOR ACCORDING TO A GIVEN PERMUTATION OF INDICES. 36404 297 A MATRIX ACCORDING TO A GIVEN PERMUTATION OF INDICES. 36403 297 ROWPERM PERMUTES THE ELEMENTS OF A GIVEN ROW OF A MATRIX ACCORDING TO A GIVEN PERMUTATION OF 36403 297 VECPERM PERMUTES THE ELEMENTS OF A GIVEN VECTOR ACCORDING TO A GIVEN PERMUTATION OF INDICES. 36404 297 PI DELIVERS A FULL PRECISION APPROXIMATION TO PI= 3.14... 30006 273 SIAN ELIMINATION WITH PARTIAL PIVOTING IF THE COEFFICIENT MATRIX IS IN BAND FORM AND IS STORED ROWWISE IN A ONE-DI 34322 79 AR DECOMPOSITION WITH PARTIAL PIVOTING. 34300 45 ATION OF PARTIAL AND COMPLETE PIVOTING. 34231 45 1KWICINDEX 31/12/79 PAGE 21 0 POL EVALUATES A POLYNOMIAL. 31040 245 ATES OF A COMPLEX NUMBER INTO POLAR COORDINATES. 34344 35 POLCHS TRANSFORMS A POLYNOMIAL FROM POWER SUM INTO CHEBYSHEV SUM FORM. 31051 43 POLSHTCHS TRANSFORMS A POLYNOMIAL FROM POWER SUM INTO SHIFTED CHEBYSHEV SUM FORM. 31053 43 K NORMALIZED DERIVATIVES OF A POLYNOMIAL ( I.E. J-TH DERIVATIVE (J FACTORIAL) ), J=0,1,...,K <= DEGREE. 31242 245 CHSPOL TRANSFORMS A POLYNOMIAL FROM CHEBYSHEV SUM INTO POWER SUM FORM. 31052 43 NEWGRN TRANSFORMS A POLYNOMIAL FROM NEWTON SUM INTO POWER SUM FORM. 31050 43 POLCHS TRANSFORMS A POLYNOMIAL FROM POWER SUM INTO CHEBYSHEV SUM FORM. 31051 43 GRNNEW TRANSFORMS A POLYNOMIAL FROM POWER SUM INTO NEWTON SUM FORM. 31055 43 POLSHTCHS TRANSFORMS A POLYNOMIAL FROM POWER SUM INTO SHIFTED CHEBYSHEV SUM FORM. 31053 43 SHTCHSPOL TRANSFORMS A POLYNOMIAL FROM SHIFTED CHEBYSHEV SUM FORM INTO POWER SUM FORM. 31054 43 LINTFMPOL TRANSFORMS A POLYNOMIAL IN X INTO A POLYNOMIAL IN Y (Y = A*X + B). 31250 43 ORMS A POLYNOMIAL IN X INTO A POLYNOMIAL IN Y (Y = A*X + B). 31250 43 LATES THE COEFFICIENTS OF THE POLYNOMIAL THAT APPROXIMATES A FUNCTION, GIVEN FOR DISCRETE ARGUMENTS, SUCH THAT THE 36022 197 HE COEFFICIENTS OF THE NEWTON POLYNOMIAL THROUGH GIVEN INTERPOLATION POINTS AND CORRESPONDING FUNCTION VALUES. 36010 195 ULATES ALL ROOTS (ZEROS) OF A POLYNOMIAL WITH REAL COEFFICIENTS BY LAGUERRE'S METHOD. 34501 311 ROS CALCULATES ALL ZEROS OF A POLYNOMIAL WITH REAL COEFFICIENTS. 34500 209 OR IN APPROXIMATED ZEROS OF A POLYNOMIAL WITH REAL COEFFICIENTS. 34502 311 ES ALL ZEROS OF AN ORTHOGONAL POLYNOMIAL. 31362 211 LOWER ZEROS OF AN ORTHOGONAL POLYNOMIAL. 31363 211 JACENT ZEROS OF AN ORTHOGONAL POLYNOMIAL. 31364 211 LATES THE ZEROS OF A JACOBIAN POLYNOMIAL. 31370 211 LATES THE ZEROS OF A LAGUERRE POLYNOMIAL. 31371 211 CHEPOL EVALUATES A CHEBYSHEV POLYNOMIAL. 31042 229 POL EVALUATES A POLYNOMIAL. 31040 245 THE FIRST K DERIVATIVES OF A POLYNOMIAL. 31243 245 COEFFICIENTS OF AN ORTHOGONAL POLYNOMIAL, A WEIGHT FUNCTION BEING GIVEN. 31254 313 LUE OF AN N-DEGREE ORTHOGONAL POLYNOMIAL, GIVEN BY A SET OF RECURRENCE COEFFICIENTS. 31044 293 LUE OF AN N-DEGREE ORTHOGONAL POLYNOMIAL, GIVEN BY A SET OF RECURRENCE COEFFICIENTS. 31048 293 TES A FINITE SUM OF CHEBYSHEV POLYNOMIALS OF ODD DEGREE. 31059 229 HEPOL EVALUATES ALL CHEBYSHEV POLYNOMIALS UP TO A CERTAIN DEGREE. 31043 229 S THE VALUE OF ALL ORTHOGONAL POLYNOMIALS UP TO A GIVEN DEGREE, GIVEN A SET OF RECURRENCE COEFFICIENTS. 31045 293 S THE VALUE OF ALL ORTHOGONAL POLYNOMIALS UP TO A GIVEN DEGREE, GIVEN A SET OF RECURRENCE COEFFICIENTS. 31049 293 TES A FINITE SUM OF CHEBYSHEV POLYNOMIALS. 31046 229 ERIES EXPRESSED IN ORTHOGONAL POLYNOMIALS, GIVEN BY A SET OF RECURRENCE COEFFICIENTS. 31047 293 ERIES EXPRESSED IN ORTHOGONAL POLYNOMIALS, GIVEN BY A SET OF RECURRENCE COEFFICIENTS. 31058 293 POLZEROS CALCULATES ALL ZEROS OF A POLYNOMIAL WITH REAL COEFFICIENTS. 34500 209 E CHOLESKY DECOMPOSITION OF A POSITIVE DEFINITE SYMMETRIC BAND MATRIX. 34330 85 LCULATES THE DETERMINANT OF A POSITIVE DEFINITE SYMMETRIC BAND MATRIX. 34331 87 CHLDECSOLBND SOLVES A POSITIVE DEFINITE SYMMETRIC LINEAR SYSTEM AND PERFORMS THE TRIANGULAR DECOMPOSITION 34333 89 CHLSOLBND SOLVES A POSITIVE DEFINITE SYMMETRIC LINEAR SYSTEM, THE TRIANGULAR DECOMPOSITION BEING GIVEN. 34332 89 2 CALCULATES THE INVERSE OF A POSITIVE DEFINITE SYMMETRIC MATRIX BY CHOLESKY'S SQUARE ROOT METHOD; THE COEFFICIENT 34402 61 1 CALCULATES THE INVERSE OF A POSITIVE DEFINITE SYMMETRIC MATRIX BY CHOLESKY'S SQUARE ROOT METHOD; THE COEFFICIENT 34403 61 E CHOLESKY DECOMPOSITION OF A POSITIVE DEFINITE SYMMETRIC MATRIX WHOSE UPPER TRIANGLE IS GIVEN COLUMNWISE IN A ONE 34311 55 E CHOLESKY DECOMPOSITION OF A POSITIVE DEFINITE SYMMETRIC MATRIX WH0SE UPPER TRIANGLE IS GIVEN IN A TWO-DIMENSIONA 34310 55 1 CALCULATES THE INVERSE OF A POSITIVE DEFINITE SYMMETRIC MATRIX, IF THE MATRIX HAS BEEN DECOMPOSED BY CHLDEC1 OR 34401 61 2 CALCULATES THE INVERSE OF A POSITIVE DEFINITE SYMMETRIC MATRIX, IF THE MATRIX HAS BEEN DECOMPOSED BY CHLDEC2 OR 34400 61 LCULATES THE DETERMINANT OF A POSITIVE DEFINITE SYMMETRIC MATRIX, THE CHOLESKY DECOMPOSITION BEING GIVEN COLUMNWIS 34313 57 LATES OF THE DETERMINANT OF A POSITIVE DEFINITE SYMMETRIC MATRIX, THE CHOLESKY DECOMPOSITION BEING GIVEN IN A TWO- 34312 57 CHLDECSOL2 SOLVES A POSITIVE DEFINITE SYMMETRIC SYSTEM OF LINEAR EQUATIONS BY CHOLESKY'S SQUARE ROOT MET 34392 59 CHLDECSOL1 SOLVES A POSITIVE DEFINITE SYMMETRIC SYSTEM OF LINEAR EQUATIONS BY CHOLESKY'S SQUARE ROOT MET 34393 59 CONJ GRAD SOLVES A POSITIVE DEFINITE SYMMETRIC SYSTEM OF LINEAR EQUATIONS BY THE METHOD OF CONJUGATE GR 34220 95 HSHVECTAM POSTMULTIPLIES A MATRIX BY A HOUSEHOLDER MATRIX, THE VECTOR DEFINING THIS HSH MATRIX 31073 269 HSHCOLTAM POSTMULTIPLIES A MATRIX BY A HOUSEHOLDER MATRIX, THE VECTOR DEFINING THIS HSH MATRIX 31074 269 HSHROWTAM POSTMULTIPLIES A MATRIX BY A HOUSEHOLDER MATRIX, THE VECTOR DEFINING THIS HSH MATRIX 31075 269 PSTTFMMAT CALCULATES THE POSTMULTIPLYING MATRIX FROM THE DATA GENERATED BY HSHREABID. 34261 109 1KWICINDEX 31/12/79 PAGE 22 0 L FORM, BY PREMULTIPLYING AND POSTMULTIPLYING WITH ORTHOGONAL MATRICES. 34260 109 COMPUTES THE DOUBLE PRECISION POWER OF A DOUBLE PRECISION NUMBER. 31110 271 COMPUTES THE DOUBLE PRECISION POWER OF A SINGLE PRECISION NUMBER. 31109 271 OMIAL FROM CHEBYSHEV SUM INTO POWER SUM FORM. 31052 43 IFTED CHEBYSHEV SUM FORM INTO POWER SUM FORM. 31054 43 LYNOMIAL FROM NEWTON SUM INTO POWER SUM FORM. 31050 43 TRANSFORMS A POLYNOMIAL FROM POWER SUM INTO CHEBYSHEV SUM FORM. 31051 43 TRANSFORMS A POLYNOMIAL FROM POWER SUM INTO NEWTON SUM FORM. 31055 43 TRANSFORMS A POLYNOMIAL FROM POWER SUM INTO SHIFTED CHEBYSHEV SUM FORM. 31053 43 PRAXIS MINIMIZES A FUNCTION OF SEVERAL VARIABLES. 34432 239 E DELIVERS A FULL PRECISION APPROXIMATION TO E= 2.718... 30007 273 PI DELIVERS A FULL PRECISION APPROXIMATION TO PI= 3.14... 30006 273 DPSUB SUBTRACTS TWO SINGLE PRECISION NUMBERS TO A DOUBLE PRECISION DIFFERENCE. 31102 271 DPMUL MULTIPLIES TWO SINGLE PRECISION NUMBERS TO A DOUBLE PRECISION PRODUCT. 31103 271 DPDIV DIVIDES TWO SINGLE PRECISION NUMBERS TO A DOUBLE PRECISION QUOTIENT. 31104 271 DPADD ADDS TWO SINGLE PRECISION NUMBERS TO A DOUBLE PRECISION SUM. 31101 271 LNGADD ADDS TWO DOUBLE PRECISION NUMBERS. 31105 271 LNGSUB SUBTRACTS TWO DOUBLE PRECISION NUMBERS. 31106 271 LNGMUL MULTIPLIES TWO DOUBLE PRECISION NUMBERS. 31107 271 LNGDIV DIVIDES TWO DOUBLE PRECISION NUMBERS. 31108 271 HSHCOMPRD PREMULTIPLIES A COMPLEX MATRIX WITH A COMPLEX HOUSEHOLDER MATRIX. 34356 23 HSHVECMAT PREMULTIPLIES A MATRIX BY A HOUSEHOLDER MATRIX, THE VECTOR DEFINING THIS HSH MATRIX 31070 269 HSHCOLMAT PREMULTIPLIES A MATRIX BY A HOUSEHOLDER MATRIX, THE VECTOR DEFINING THIS HSH MATRIX 31071 269 HSHROWMAT PREMULTIPLIES A MATRIX BY A HOUSEHOLDER MATRIX, THE VECTOR DEFINING THIS HSH MATRIX 31072 269 MATRIX TO BIDIAGONAL FORM, BY PREMULTIPLYING AND POSTMULTIPLYING WITH ORTHOGONAL MATRICES. 34260 109 PRETFMMAT CALCULATES THE PREMULTIPLYING MATRIX FROM THE DATA GENERATED BY HSHREABID. 34262 109 PRETFMMAT CALCULATES THE PREMULTIPLYING MATRIX FROM THE DATA GENERATED BY HSHREABID. 34262 109 FULMATVEC CALCULATES THE PRODUCT A * B, WHERE A IS A GIVEN MATRIX AND B IS A VECTOR. 31500 15 UBLE PRECISION ARITHMETIC THE PRODUCT A * B, WHERE A IS A GIVEN MATRIX AND B IS A VECTOR. 31505 285 FULSYMMATVEC CALCULATES THE PRODUCT A * B, WHERE A IS A SYMMETRIC MATRIX, WHOSE UPPERTRIANGLE IS STORED COLUMNWI 31502 15 UBLE PRECISION ARITHMETIC THE PRODUCT A * B, WHERE A IS A SYMMETRIC MATRIX, WHOSE UPPERTRIANGLE IS STORED COLUMNWI 31507 285 FULTAMVEC CALCULATES THE PRODUCT A' * B, WHERE A' IS THE TRANSPOSED OF THE MATRIX A AND B IS A VECTOR. 31501 15 UBLE PRECISION ARITHMETIC THE PRODUCT A' * B, WHERE A' IS THE TRANSPOSED OF THE MATRIX A AND B IS A VECTOR. 31506 285 LNGINTMULT COMPUTES THE PRODUCT OF LONG NONNEGATIVE INTEGERS. 31202 201 COMMUL CALCULATES THE PRODUCT OF TWO COMPLEX NUMBERS. 34341 37 PSDINV CALCULATES THE PSEUDO-INVERSE OF A MATRIX. 34287 73 PSDINVSVD CALCULATES THE PSEUDO-INVERSE OF A MATRIX; ( THE SINGULAR VALUE DECOMPOSIT 34286 73 PSDINV CALCULATES THE PSEUDO-INVERSE OF A MATRIX. 34287 73 PSDINVSVD CALCULATES THE PSEUDO-INVERSE OF A MATRIX; ( THE SINGULAR VALUE DECOMPOSITION BEING GIVEN ). 34286 73 PSTTFMMAT CALCULATES THE POSTMULTIPLYING MATRIX FROM THE DATA GENERATED BY HSHREABID 34261 109 QADRAT COMPUTES THE DEFINITE INTEGRAL OF A FUNCTION OF ONE VARIABLE OVER A FINITE IN 32070 133 RIDIAGONAL MATRIX BY MEANS OF QR ITERATION. 34160 111 RIDIAGONAL MATRIX BY MEANS OF QR ITERATION. 34161 111 SYMMETRIC MATRIX BY MEANS OF QR ITERATION. 34164 113 SYMMETRIC MATRIX BY MEANS OF QR ITERATION. 34162 113 SYMMETRIC MATRIX BY MEANS OF QR ITERATION. 34163 113 ARE REAL, BY MEANS OF SINGLE QR ITERATION. 34180 115 ARE REAL, BY MEANS OF SINGLE QR ITERATION. 34186 115 ERG MATRIX BY MEANS OF DOUBLE QR ITERATION. 34190 115 LSQDECOMP COMPUTES THE QR- DECOMPOSITION OF A LINEAR LEAST SQUARES PROBLEM WITH LINEAR CONSTRAINTS. 34137 309 QRICOM CALCULATES THE EIGENVECTORS AND THE EIGENVALUES OF A COMPLEX UPPER-HESSENBERG 34373 121 QRIHRM CALCULATES THE EIGENVALUES AND EIGENVECTORS OF A COMPLEX HERMITIAN MATRIX. 34371 119 QRISNGVAL CALCULATES THE SINGULAR VALUES OF A GIVEN MATRIX. 34272 127 QRISNGVALBID CALCULATES THE SINGULAR VALUES OF A BIDIAGONAL MATRIX. 34270 125 QRISNGVALDEC CALCULATES THE SINGULAR VALUES DECOMPOSITION U * S * V', WITH U AND V O 34273 127 QRISNGVALDECBID CALCULATES THE SINGULAR VALUES DECOMPOSITION OF A MATRIX OF WHICH TH 34271 125 1KWICINDEX 31/12/79 PAGE 23 0 QRISYM CALCULATES ALL EIGENVALUES AND EIGENVECTORS OF A SYMMETRIC MATRIX BY MEANS OF 34163 113 QRISYMTRI CALCULATES THE EIGENVALUES AND EIGENVECTORS OF A SYMMETRIC TRIDIAGONAL MAT 34161 111 QRIVALHRM CALCULATES THE EIGENVALUES OF A COMPLEX HERMITIAN MATRIX. 34370 119 QRIVALSYMTRI CALCULATES THE EIGENVALUES OF A SYMMETRIC TRIDIAGONAL MATRIX BY MEANS O 34160 111 QRIVALSYM1 CALCULATES THE EIGENVALUES OF A SYMMETRIC MATRIX BY MEANS OF QR ITERATION 34164 113 QRIVALSYM2 CALCULATES THE EIGENVALUES OF A SYMMETRIC MATRIX BY MEANS OF QR ITERATION 34162 113 KWD CALCULATES THE ROOTS OF A QUADRATIC EQUATION WITH COMPLEX COEFFICIENTS. 34345 129 AND WEIGHTS FOR GAUSS- JACOBI QUADRATURE. 31425 291 D WEIGHTS FOR GAUSS- LAGRANGE QUADRATURE. 31427 291 QUANEWBND SOLVES A SYSTEM OF NON-LINEAR EQUATIONS OF WHICH THE JACOBIAN ( BEING A BA 34430 217 QUANEWBND1 SOLVES A SYSTEM OF NON-LINEAR EQUATIONS OF WHICH THE JACOBIAN IS A BAND M 34431 217 COMDIV CALCULATES THE QUOTIENT OF TWO COMPLEX NUMBERS. 34342 37 LNGINTDIVIDE COMPUTES THE QUOTIENT WITH REMAINDER OF LONG NONNEGATIVE INTEGERS. 31203 201 QZI COMPUTES GENERALIZED EIGENVALUES AND EIGENVECTORS BY MEANS OF QZ-ITERATION. 34601 267 QZIVAL COMPUTES GENERALIZED EIGENVALUES BY MEANS OF QZ-ITERATION. 34600 267 RNK1UPD ADDS A RANK-1 MATRIX TO A SYMMETRIC MATRIX. 34211 139 DAVUPD ADDS A RANK-2 MATRIX TO A SYMMETRIC MATRIX. 34212 139 FLEUPD ADDS A RANK-2 MATRIX TO A SYMMETRIC MATRIX. 34213 139 REAEIGVAL CALCULATES THE EIGENVALUES OF A MATRIX, PROVIDED THAT ALL EIGENVALUES ARE 34182 117 REAEIG1 CALCULATES THE EIGENVECTORS AND EIGENVALUES OF A MATRIX, PROVIDED THAT THEY 34184 117 REAEIG3 CALCULATES THE EIGENVECTORS AND EIGENVALUES OF A MATRIX, PROVIDED THAT THEY 34187 117 MPROVES AN APPROXIMATION OF A REAL SYMMETRIC EIGENSYSTEM AND CALCULATES ERROR BOUNDS FOR THE EIGENVALUES. 36401 301 REAQRI CALCULATES ALL EIGENVALUES AND EIGENVECTORS OF A REAL UPPER-HESSENBERG MATRIX 34186 115 REASCL NORMALIZES THE COLUMNS OF A TWO-DIMENSIONAL ARRAY. 34183 17 REAVALQRI CALCULATES THE EIGENVALUES OF A REAL UPPER-HESSENBERG MATRIX, PROVIDED THA 34180 115 REAVECHES CALCULATES AN EIGENVECTOR CORRESPONDING TO A GIVEN REAL EIGENVALUE OF A RE 34181 115 RECCOF CALCULATES RECURRENCE COEFFICIENTS OF AN ORTHOGONAL POLYNOMIAL, A WEIGHT FUNC 31254 313 RECIP GAMMA CALCULATES THE RECIPROCAL OF THE GAMMA FUNCTION FOR ARGUMENTS IN THE RAN 35060 187 RECIP GAMMA CALCULATES THE RECIPROCAL OF THE GAMMA FUNCTION FOR ARGUMENTS IN THE RANGE [.5,1.5]; MOREOVER ODD A 35060 187 HTS OF A WEIGHT FUNCTION, THE RECURRENCE COEFFICIENTS BEING GIVEN. 31253 313 HTS OF A WEIGHT FUNCTION, THE RECURRENCE COEFFICIENTS BEING GIVEN. 31252 313 RECCOF CALCULATES RECURRENCE COEFFICIENTS OF AN ORTHOGONAL POLYNOMIAL, A WEIGHT FUNCTION BEING GIVEN. 31254 313 POLYNOMIAL, GIVEN BY A SET OF RECURRENCE COEFFICIENTS. 31044 293 GIVEN DEGREE, GIVEN A SET OF RECURRENCE COEFFICIENTS. 31045 293 OLYNOMIALS, GIVEN BY A SET OF RECURRENCE COEFFICIENTS. 31047 293 POLYNOMIAL, GIVEN BY A SET OF RECURRENCE COEFFICIENTS. 31048 293 GIVEN DEGREE, GIVEN A SET OF RECURRENCE COEFFICIENTS. 31049 293 OLYNOMIALS, GIVEN BY A SET OF RECURRENCE COEFFICIENTS. 31058 293 DE COMPUTES THE QUOTIENT WITH REMAINDER OF LONG NONNEGATIVE INTEGERS. 31203 201 MALLEST ( IN ABSOLUTE VALUE ) REPRESENTABLE REAL NUMBER. 30003 275 GIANT DELIVERS THE LARGEST REPRESENTABLE REAL NUMBER. 30004 275 ECISION NUMBER TO ITS DECIMAL REPRESENTATION. 31100 289 RESVEC CALCULATES THE RESIDUAL VECTOR A * B + X * C, WHERE A IS A GIVEN MATRIX, B AND C ARE VECTORS AND X 31503 15 UBLE PRECISION ARITHMETIC THE RESIDUAL VECTOR A * B + X * C, WHERE A IS A GIVEN MATRIX, B AND C ARE VECTORS AND X 31508 285 SYMRESVEC CALCULATES THE RESIDUAL VECTOR A * B + X * C, WHERE A IS A SYMMETRIC MATRIX, WHOSE UPPERTRIANGLE IS 31504 15 UBLE PRECISION ARITHMETIC THE RESIDUAL VECTOR A * B + X * C, WHERE A IS A SYMMETRIC MATRIX, WHOSE UPPERTRIANGLE IS 31509 285 RESVEC CALCULATES THE RESIDUAL VECTOR A * B + X * C, WHERE A IS A GIVEN MATRIX, B AN 31503 15 RICHARDSON SOLVES A SYSTEM OF LINEAR EQUATIONS WITH POSITIVE REAL EIGENVALUES ( ELLI 33170 225 , WHICH IS AN ACCELERATION OF RICHARDSON'S METHOD. 33171 225 NT DIFFERENTIAL EQUATION BY A RITZ-GALERKIN METHOD. 33300 261 ER DIFFERENTIAL EQUATION BY A RITZ-GALERKIN METHOD. 33302 263 HLET BOUNDARY CONDITIONS BY A RITZ-GALERKIN METHOD. 33303 265 TH SPHERICAL COORDINATES BY A RITZ-GALERKIN METHOD. 33308 261 NT DIFFERENTIAL EQUATION BY A RITZ-GALERKIN METHOD; THE COEFFICIENT OF Y" IS SUPPOSED TO BE UNITY. 33301 261 TH SPHERICAL COORDINATES BY A RITZ-GALERKIN METHOD AND NEWTON ITERATION. 33314 317 RKE SOLVES A SYSTEM OF 1ST ORDER DIFFERENTIAL EQUATIONS ( INITIAL VALUE PROBLEM ) BY 33033 143 RK1 SOLVES A SINGLE 1ST ORDER DIFFERENTIAL EQUATION BY MEANS OF A 5TH ORDER RUNGE-KU 33010 141 RK2 INTEGRATES A SINGLE 2ND ORDER DIFFERENTIAL EQUATION ( INITIAL VALUE PROBLEM ) BY 33012 171 1KWICINDEX 31/12/79 PAGE 24 0 RK2N SOLVES A SYSTEM OF 2ND ORDER DIFFERENTIAL EQUATIONS ( INITIAL VALUE PROBLEM ) B 33013 173 RK3 SOLVES A SINGLE 2ND ORDER DIFFERENTIAL EQUATION ( INITIAL VALUE PROBLEM ) BY MEA 33014 175 RK3N SOLVES A SYSTEM OF 2ND ORDER DIFFERENTIAL EQUATIONS ( INITIAL VALUE PROBLEM ) B 33015 177 RK4A SOLVES A SINGLE 1ST ORDER DIFFERENTIAL EQUATION BY MEANS OF A 5TH ORDER RUNGE-K 33016 145 RK4NA SOLVES A SYSTEM OF 1ST ORDER DIFFERENTIAL EQUATIONS ( INITIAL VALUE PROBLEM ) 33017 147 RK5NA SOLVES A SYSTEM OF 1ST ORDER DIFFERENTIAL EQUATIONS ( INITIAL VALUE PROBLEM ) 33018 149 RNK1MIN MINIMIZES A FUNCTION OF SEVERAL VARIABLES. 34214 19 RNK1UPD ADDS A RANK-1 MATRIX TO A SYMMETRIC MATRIX. 34211 139 ZERPOL CALCULATES ALL ROOTS (ZEROS) OF A POLYNOMIAL WITH REAL COEFFICIENTS BY LAGUERRE'S METHOD. 34501 311 COMKWD CALCULATES THE ROOTS OF A QUADRATIC EQUATION WITH COMPLEX COEFFICIENTS. 34345 129 CHSH2 FINDS A COMPLEX ROTATION MATRIX. 34611 287 ROTCOL REPLACES TWO COLUMN VECTORS X AND Y BY TWO VECTORS CX + SY AND CY - SX. 34040 13 ROTCOMCOL REPLACES TWO COMPLEX COLUMN VECTORS X AND Y BY TWO COMPLEX VECTORS CX + SY 34357 287 ROTCOMROW REPLACES TWO COMPLEX ROW VECTORS X AND Y BY TWO COMPLEX VECTORS CX + SY AN 34358 287 ROTROW REPLACES TWO ROW VECTORS X AND Y BY TWO VECTORS CX + SY AND CY - SX. 34041 13 LATES THE SCALAR PRODUCT OF A ROW OF A VECTOR AND A COLUMN VECTOR BY DOUBLE PRECISION ARITHMETIC. 34413 285 MATMAT := SCALAR PRODUCT OF A ROW VECTOR AND A COLUMN VECTOR. 34013 7 E SCALAR PRODUCT OF A COMPLEX ROW VECTOR AND A COMPLEX VECTOR. 34354 23 MATTAM := SCALAR PRODUCT OF A ROW VECTOR AND A ROW VECTOR. 34015 7 MATVEC := SCALAR PRODUCT OF A ROW VECTOR AND A VECTOR. 34011 7 OMROWCST MULTIPLIES A COMPLEX ROW VECTOR BY A COMPLEX NUMBER. 34353 21 ROWCST MULTIPLIES A ROW VECTOR BY A CONSTANT. 31132 5 ES A CONSTANT MULTIPLIED BY A ROW VECTOR INTO A ROW VECTOR. 31021 5 DUPVECROW COPIES A ROW VECTOR INTO A VECTOR. 31031 3 OLROW ADDS A CONSTANT TIMES A ROW VECTOR TO A COLUMN VECTOR. 34029 9 LMROW ADDS A CONSTANT TIMES A ROW VECTOR TO A ROW VECTOR. 34024 9 LMROW ADDS A CONSTANT TIMES A ROW VECTOR TO A ROW VECTOR, MAXELMROW:=THE SUBSCRIPT OF AN ELEMENT OF THE NEW ROW VE 34025 9 ECROW ADDS A CONSTANT TIMES A ROW VECTOR TO A VECTOR. 34026 9 ULATES THE INFINITY-NORM OF A ROW VECTOR. 31062 241 OW CALCULATES THE 1-NORM OF A ROW VECTOR. 31066 241 TES THE SCALAR PRODUCT OF TWO ROW VECTORS BY DOUBLE PRECISION ARITHMETIC. 34415 285 ROWCST MULTIPLIES A ROW VECTOR BY A CONSTANT. 31132 5 ROWPERM PERMUTES THE ELEMENTS OF A GIVEN ROW OF A MATRIX ACCORDING TO A GIVEN PERMUT 36403 297 EM ) BY MEANS OF A STABILIZED RUNGE-KUTTA METHOD WITH LIMITED STORAGE REQUIREMENTS. 33061 155 ATION BY MEANS OF A 5TH ORDER RUNGE-KUTTA METHOD. 33010 141 LEM ) BY MEANS OF A 5TH ORDER RUNGE-KUTTA METHOD. 33033 143 LEM ) BY MEANS OF A 5TH ORDER RUNGE-KUTTA METHOD. 33012 171 LEM ) BY MEANS OF A 5TH ORDER RUNGE-KUTTA METHOD. 33013 173 ORDER, EXPONENTIONALLY FITTED RUNGE-KUTTA METHOD; AUTOMATIC STEPSIZE CONTROL IS NOT PROVIDED; THIS METHOD CAN BE U 33070 157 LEM ) BY MEANS OF A 5TH ORDER RUNGE-KUTTA METHOD; THE ARC LENGTH IS INTRODUCED AS AN INTEGRATION VARIABLE; THE INT 33018 149 ATION BY MEANS OF A 5TH ORDER RUNGE-KUTTA METHOD; THE INTEGRATION IS TERMINATED AS SOON AS A CONDITION ON X AND Y, 33016 145 LEM ) BY MEANS OF A 5TH ORDER RUNGE-KUTTA METHOD; THE INTEGRATION IS TERMINATED AS SOON AS A CONDITION ON X[0],... 33017 147 PONENTIALLY FITTED, 3RD ORDER RUNGE-KUTTA METHOD; THIS METHOD CAN BE USED TO SOLVE STIFF SYSTEMS WITH KNOWN EIGENV 33120 161 NTIALLY FITTED, SEMI-IMPLICIT RUNGE-KUTTA METHOD; THIS METHOD CAN BE USED TO SOLVE STIFF SYSTEMS. 33160 159 LEM ) BY MEANS OF A 5TH ORDER RUNGE-KUTTA METHOD; THIS METHOD CAN ONLY BE USED IF THE RIGHT HAND SIDE OF THE DIFFE 33014 175 LEM ) BY MEANS OF A 5TH ORDER RUNGE-KUTTA METHOD; THIS METHOD CAN ONLY BE USED IF THE RIGHT HAND SIDE OF THE DIFFE 33015 177 EM ) BY MEANS OF A STABILIZED RUNGE-KUTTA METHOD, IN PARTICULAR SUITABLE FOR SYSTEMS ARISING FROM TWO-DIMENSIONAL 33066 295 TAMMAT := SCALAR PRODUCT OF A COLUMN VECTOR AND A COLUMN VECTOR. 34014 7 TAMVEC := SCALAR PRODUCT OF A COLUMN VECTOR AND A VECTOR. 34012 7 COMMATVEC CALCULATES THE SCALAR PRODUCT OF A COMPLEX ROW VECTOR AND A COMPLEX VECTOR. 34354 23 LNGMATMAT CALCULATES THE SCALAR PRODUCT OF A ROW OF A VECTOR AND A COLUMN VECTOR BY DOUBLE PRECISION ARITHMET 34413 285 MATMAT := SCALAR PRODUCT OF A ROW VECTOR AND A COLUMN VECTOR. 34013 7 MATTAM := SCALAR PRODUCT OF A ROW VECTOR AND A ROW VECTOR. 34015 7 MATVEC := SCALAR PRODUCT OF A ROW VECTOR AND A VECTOR. 34011 7 LNGTAMVEC CALCULATES THE SCALAR PRODUCT OF A VECTOR AND A COLUMN VECTOR BY DOUBLE PRECISION ARITHMETIC. 34412 285 SYMMATVEC := SCALAR PRODUCT OF A VECTOR AND A ROW OF A SYMMETRIC MATRIX, WHOSE UPPERTRIANGLE IS G 34018 7 1KWICINDEX 31/12/79 PAGE 25 0 LNGMATVEC CALCULATES THE SCALAR PRODUCT OF A VECTOR AND A ROW VECTOR BY DOUBLE PRECISION ARITHMETIC. 34411 285 VECVEC := SCALAR PRODUCT OF A VECTOR AND A VECTOR. 34010 7 LNGSYMMATVEC CALCULATES THE SCALAR PRODUCT OF A VECTOR GIVEN IN A ONE-DIMENSIONAL ARRAY AND A ROW OF A SYMMETRIC 34418 285 LNGTAMMAT CALCULATES THE SCALAR PRODUCT OF TWO COLUMN VECTORS BY DOUBLE PRECISION ARITHMETIC. 34414 285 LNGMATTAM CALCULATES THE SCALAR PRODUCT OF TWO ROW VECTORS BY DOUBLE PRECISION ARITHMETIC. 34415 285 LNGVECVEC CALCULATES THE SCALAR PRODUCT OF TWO VECTORS BY DOUBLE LENTGH ARITHMETIC. 34410 285 SEQVEC := SCALAR PRODUCT OF TWO VECTORS GIVEN IN ONE-DIMENSIONAL ARRAYS, WHERE THE MUTUAL SPAC 34016 7 LNGSEQVEC CALCULATES THE SCALAR PRODUCT OF TWO VECTORS GIVEN IN ONE-DIMENSIONAL ARRAYS, WHERE THE MUTUAL SPAC 34416 285 SCAPRD1 := SCALAR PRODUCT OF TWO VECTORS GIVEN IN ONE-DIMENSIONAL ARRAYS, WHERE THE SPACINGS OF 34017 7 LNGSCAPRD1 CALCULATES THE SCALAR PRODUCT OF TWO VECTORS GIVEN IN ONE-DIMENSIONAL ARRAYS, WHERE THE SPACINGS OF 34417 285 SCAPRD1 := SCALAR PRODUCT OF TWO VECTORS GIVEN IN ONE-DIMENSIONAL ARRAYS, WHERE THE 34017 7 SCLCOM NORMALIZES THE COLUMNS OF A COMPLEX MATRIX. 34360 29 UE PROBLEM FOR A SECOND ORDER SELF-ADJOINT DIFFERENTIAL EQUATION BY A RITZ-GALERKIN METHOD. 33300 261 UE PROBLEM FOR A SECOND ORDER SELF-ADJOINT DIFFERENTIAL EQUATION BY A RITZ-GALERKIN METHOD; THE COEFFICIENT OF Y" 33301 261 UE PROBLEM FOR A FOURTH ORDER SELF-ADJOINT DIFFERENTIAL EQUATION WITH DIRICHLET BOUNDARY CONDITIONS BY A RITZ-GALE 33303 265 UE PROBLEM FOR A SECOND ORDER SELF-ADJOINT DIFFERENTIAL EQUATION WITH SPHERICAL COORDINATES BY A RITZ-GALERKIN MET 33308 261 SELZERORTPOL CALCULATES A NUMBER OF ADJACENT ZEROS OF AN ORTHOGONAL POLYNOMIAL. 31364 211 ORDER, EXPONENTIALLY FITTED, SEMI-IMPLICIT RUNGE-KUTTA METHOD; THIS METHOD CAN BE USED TO SOLVE STIFF SYSTEMS. 33160 159 R INTERPOLATION USING A STURM SEQUENCE. 34151 111 FUNCTION DERIVED FROM A STURM SEQUENCE. 34155 113 FUNCTION DERIVED FROM A STURM SEQUENCE. 34153 113 SEQVEC := SCALAR PRODUCT OF TWO VECTORS GIVEN IN ONE-DIMENSIONAL ARRAYS, WHERE THE M 34016 7 SUMORTPOL EVALUATES A FINITE SERIES EXPRESSED IN ORTHOGONAL POLYNOMIALS, GIVEN BY A SET OF RECURRENCE COEFFICIENT 31047 293 MORTPOLSYM EVALUATES A FINITE SERIES EXPRESSED IN ORTHOGONAL POLYNOMIALS, GIVEN BY A SET OF RECURRENCE COEFFICIENT 31058 293 FOUSER EVALUATES A FOURIER SERIES WITH EQUAL SINE AND COSINE COEFFICIENTS. 31092 203 R EVALUATES A COMPLEX FOURIER SERIES WITH REAL COEFFICIENTS. 31095 203 SINSER EVALUATES A SINE SERIES. 31090 203 COSSER EVALUATES A COSINE SERIES. 31091 203 FOUSER1 EVALUATES A FOURIER SERIES. 31093 203 FOUSER2 EVALUATES A FOURIER SERIES. 31094 203 1 EVALUATES A COMPLEX FOURIER SERIES. 31096 203 2 EVALUATES A COMPLEX FOURIER SERIES. 31097 203 INTEGRAL OF A GIVEN CHEBYSHEV SERIES. 31248 205 EPOLSER EVALUATES A CHEBYSHEV SERIES. 31046 229 TRANSFORMS A POLYNOMIAL FROM SHIFTED CHEBYSHEV SUM FORM INTO POWER SUM FORM. 31054 43 OLYNOMIAL FROM POWER SUM INTO SHIFTED CHEBYSHEV SUM FORM. 31053 43 SHTCHSPOL TRANSFORMS A POLYNOMIAL FROM SHIFTED CHEBYSHEV SUM FORM INTO POWER SUM FOR 31054 43 RMS A HERMITIAN MATRIX INTO A SIMILAR REAL SYMMETRIC TRIDIAGONAL MATRIX. 34363 105 REAL SYMMETRIC MATRIX INTO A SIMILAR TRIDIAGONAL ONE BY MEANS OF HOUSEHOLDER'S TRANSFORMATION. 34143 101 REAL SYMMETRIC MATRIX INTO A SIMILAR TRIDIAGONAL ONE BY MEANS OF HOUSEHOLDER'S TRANSFORMATION. 34140 101 IAGONAL TRANSFORMATION INTO A SIMILAR UNITARY UPPER-HESSENBERG MATRIX WITH A REAL NONNEGATIVE SUBDIAGONAL. 34366 107 ES TRANSFORMS A MATRIX INTO A SIMILAR UPPER-HESSENBERG MATRIX BY MEANS OF WILKINSON'S TRANSFORMATION. 34170 103 GONAL MATRIX WHICH IS UNITARY SIMILAR WITH A GIVEN HERMITIAN MATRIX. 34364 105 MATRIX BY MEANS OF A DIAGONAL SIMILARITY TRANSFORMATION. 34173 97 SINCOSFG IS AN AUXILIARY PROCEDURE FOR THE SINE AND COSINE INTEGRALS. 35085 185 SINCOSINT CALCULATES THE SINE INTEGRAL SI(X) AND THE COSINE INTEGRAL CI(X). 35084 185 SINH COMPUTES THE HYPERBOLIC SINE FOR A REAL ARGUMENT X. 35111 181 MPUTES THE INVERSE HYPERBOLIC SINE FOR A REAL ARGUMENT X. 35114 181 SINCOSINT CALCULATES THE SINE INTEGRAL SI(X) AND THE COSINE INTEGRAL CI(X). 35084 185 SINSER EVALUATES A SINE SERIES. 31090 203 SOLOVR CALCULATES THE SINGULAR VALUES DECOMPOSITION AND SOLVES AN OVERDETERMINED SYSTEM OF LINEAR EQUATION 34281 67 SOLUND CALCULATES THE SINGULAR VALUES DECOMPOSITION AND SOLVES AN UNDERDETERMINED SYSTEM OF LINEAR EQUATIO 34283 69 RISNGVALDECBID CALCULATES THE SINGULAR VALUES DECOMPOSITION OF A MATRIX OF WHICH THE BIDIAGONAL AND THE PRE- AND P 34271 125 QRISNGVALDEC CALCULATES THE SINGULAR VALUES DECOMPOSITION U * S * V', WITH U AND V ORTHOGONAL AND S POSITIVE DIA 34273 127 QRISNGVALBID CALCULATES THE SINGULAR VALUES OF A BIDIAGONAL MATRIX. 34270 125 QRISNGVAL CALCULATES THE SINGULAR VALUES OF A GIVEN MATRIX. 34272 127 SINH COMPUTES THE HYPERBOLIC SINE FOR A REAL ARGUMENT X. 35111 181 1KWICINDEX 31/12/79 PAGE 26 0 SINSER EVALUATES A SINE SERIES. 31090 203 DWARF DELIVERS THE SMALLEST ( IN ABSOLUTE VALUE ) REPRESENTABLE REAL NUMBER. 30003 275 SNDREMEZ EXCHANGES AT MOST N+1 NUMBERS WITH NUMBERS OUT OF A REFERENCE SET; IT IS AN 36021 197 SOL SOLVES THE SYSTEM OF LINEAR EQUATIONS WHOSE MATRIX HAS BEEN TRIANGULARLY DECOMPO 34051 49 SOLBND SOLVES A SYSTEM OF LINEAR EQUATIONS, THE MATRIX BEING DECOMPOSED BY DECBND. 34071 79 SOLELM SOLVES A SYSTEM OF LINEAR EQUATIONS WHOSE MATRIX HAS BEEN TRIANGULARLY DECOMP 34061 49 SOLOVR CALCULATES THE SINGULAR VALUES DECOMPOSITION AND SOLVES AN OVERDETERMINED SYS 34281 67 SOLSVDOVR SOLVES AN OVERDETERMINED SYSTEM OF LINEAR EQUATIONS, MULTIPLYING THE RIGHT 34280 67 SOLSVDUND SOLVES AN UNDERDETERMINED SYSTEM OF LINEAR EQUATIONS, MULTIPLYING THE RIGH 34282 69 SOLSYMTRI SOLVES A SYMMETRIC TRIDIAGONAL SYSTEM OF LINEAR EQUATIONS, THE TRIANGULAR 34421 93 SOLSYM2 SOLVES A SYMMETRIC SYSTEM OF LINEAR EQUATIONS IF THE COEFFICIENT MATRIX HAS 34292 307 SOLTRI SOLVES A TRIDIAGONAL SYSTEM OF LINEAR EQUATIONS THE TRIANGULAR DECOMPOSITION 34424 83 SOLTRIPIV SOLVES A TRIDIAGONAL SYSTEM OF LINEAR EQUATIONS THE TRIANGULAR DECOMPOSITI 34427 83 SOLUND CALCULATES THE SINGULAR VALUES DECOMPOSITION AND SOLVES AN UNDERDETERMINED SY 34283 69 N OF INDICES CORRESPONDING TO SORTING THE ELEMENTS OF A GIVEN VECTOR INTO NON-DECREASING ORDER. 36405 297 SPHER BESS I CALCULATES THE MODIFIED SPHERICAL BESSEL FUNCTIONS OF THE 1ST KIND: I[K 35152 247 SPHER BESS J CALCULATES THE SPHERICAL BESSEL FUNCTIONS OF THE 1ST KIND: J[K+.5](X)*S 35150 247 SPHER BESS K CALCULATES THE MODIFIED SPHERICAL BESSEL FUNCTIONS OF THE 3RD KIND: K[I 35153 247 SPHER BESS Y CALCULATES THE SPHERICAL BESSEL FUNCTIONS OF THE 3RD KIND: Y[K+.5](X)*S 35151 247 ESS I CALCULATES THE MODIFIED SPHERICAL BESSEL FUNCTIONS OF THE 1ST KIND MULTIPIED BY EXP(-X): I[K+.5](X)*SQRT(PI 35154 247 ESS I CALCULATES THE MODIFIED SPHERICAL BESSEL FUNCTIONS OF THE 1ST KIND: I[K+.5](X)*SQRT(PI (2*X)), K=0,...,N , W 35152 247 SPHER BESS J CALCULATES THE SPHERICAL BESSEL FUNCTIONS OF THE 1ST KIND: J[K+.5](X)*SQRT(PI (2*X)), K=0,...,N , W 35150 247 ESS K CALCULATES THE MODIFIED SPHERICAL BESSEL FUNCTIONS OF THE 3RD KIND MULTIPLIED BY EXP(+X): K[I+.5](X)*SQRT(PI 35155 247 ESS K CALCULATES THE MODIFIED SPHERICAL BESSEL FUNCTIONS OF THE 3RD KIND: K[I+.5](X)*SQRT(PI (2*X)), I=0,...,N , W 35153 247 SPHER BESS Y CALCULATES THE SPHERICAL BESSEL FUNCTIONS OF THE 3RD KIND: Y[K+.5](X)*SQRT(PI (2*X)), K=0,...,N , W 35151 247 ER DIFFERENTIAL EQUATION WITH SPHERICAL COORDINATES BY A RITZ-GALERKIN METHOD AND NEWTON ITERATION. 33314 317 NT DIFFERENTIAL EQUATION WITH SPHERICAL COORDINATES BY A RITZ-GALERKIN METHOD. 33308 261 COMSQRT CALCULATES THE SQUARE ROOT OF A COMPLEX NUMBER. 34343 35 START IS AN AUXILIARY PROCEDURE IN BESSELFUNCTION PROCEDURES. 35185 249 ITABLE FOR THE INTEGRATION OF STIFF DIFFERENTIAL EQUATIONS. 33135 231 S METHOD CAN BE USED TO SOLVE STIFF SYSTEMS WITH KNOWN EIGENVALUE SPECTRUM. 33070 157 S METHOD CAN BE USED TO SOLVE STIFF SYSTEMS WITH KNOWN EIGENVALUE SPECTRUM. 33120 161 ; THIS METHOD IS SUITABLE FOR STIFF SYSTEMS. 33080 151 S METHOD CAN BE USED TO SOLVE STIFF SYSTEMS. 33160 159 S METHOD CAN BE USED TO SOLVE STIFF SYSTEMS. 33131 165 S METHOD CAN BE USED TO SOLVE STIFF SYSTEMS. 33132 221 S METHOD CAN BE USED TO SOLVE STIFF SYSTEMS. 33191 223 S METHOD CAN BE USED TO SOLVE STIFF SYSTEMS, WITH KNOWN EIGEN VALUE SPECTRUM, PROVIDED HIGHER ORDER DERIVATIVES CA 33050 169 LINEAR INTERPOLATION USING A STURM SEQUENCE. 34151 111 OF A FUNCTION DERIVED FROM A STURM SEQUENCE. 34155 113 OF A FUNCTION DERIVED FROM A STURM SEQUENCE. 34153 113 LNGSUB SUBTRACTS TWO DOUBLE PRECISION NUMBERS. 31106 271 DPSUB SUBTRACTS TWO SINGLE PRECISION NUMBERS TO A DOUBLE PRECISION DIFFERENCE. 31102 271 DCHEPOLSUM EVALUATES A FINITE SUM OF CHEBYSHEV POLYNOMIALS OF ODD DEGREE. 31059 229 CHEPOLSUM EVALUATES A FINITE SUM OF CHEBYSHEV POLYNOMIALS. 31046 229 LNGINTADD COMPUTES THE SUM OF LONG NONNEGATIVE INTEGERS. 31200 201 SUMPOSSERIES PERFORMS THE SUMMATION OF A INFINITE SERIES WITH POSITIVE MONOTONICALLY DECREASING TERMS USING TH 32020 131 EULER PERFORMS THE SUMMATION OF AN ALTERNATING INFINITE SERIES. 32010 131 SUMORTPOL EVALUATES A FINITE SERIES EXPRESSED IN ORTHOGONAL POLYNOMIALS, GIVEN BY A 31047 293 SUMORTPOLSYM EVALUATES A FINITE SERIES EXPRESSED IN ORTHOGONAL POLYNOMIALS, GIVEN BY 31058 293 SUMPOSSERIES PERFORMS THE SUMMATION OF A INFINITE SERIES WITH POSITIVE MONOTONICALLY 32020 131 SYMEIGINP IMPROVES AN APPROXIMATION OF A REAL SYMMETRIC EIGENSYSTEM AND CALCULATES E 36401 301 SYMMATVEC := SCALAR PRODUCT OF A VECTOR AND A ROW OF A SYMMETRIC MATRIX, WHOSE UPPER 34018 7 SITION OF A POSITIVE DEFINITE SYMMETRIC BAND MATRIX. 34330 85 MINANT OF A POSITIVE DEFINITE SYMMETRIC BAND MATRIX. 34331 87 ANT OF A SYMMETRIC MATRIX,THE SYMMETRIC DECOMPOSITION BEING GIVEN. 34294 305 DECSYM2 CALCULATES THE SYMMETRIC DECOMPOSITION OF A SYMMETRIC MATRIX. 34291 303 SYSTEM OF LINEAR EQUATIONS BY SYMMETRIC DECOMPOSITION. 34293 307 1KWICINDEX 31/12/79 PAGE 27 0 ES AN APPROXIMATION OF A REAL SYMMETRIC EIGENSYSTEM AND CALCULATES ERROR BOUNDS FOR THE EIGENVALUES. 36401 301 ND SOLVES A POSITIVE DEFINITE SYMMETRIC LINEAR SYSTEM AND PERFORMS THE TRIANGULAR DECOMPOSITION BY CHOLESKY'S METH 34333 89 ND SOLVES A POSITIVE DEFINITE SYMMETRIC LINEAR SYSTEM, THE TRIANGULAR DECOMPOSITION BEING GIVEN. 34332 89 NVERSE OF A POSITIVE DEFINITE SYMMETRIC MATRIX BY CHOLESKY'S SQUARE ROOT METHOD; THE COEFFICIENT MATRIX GIVEN COLU 34402 61 NVERSE OF A POSITIVE DEFINITE SYMMETRIC MATRIX BY CHOLESKY'S SQUARE ROOT METHOD; THE COEFFICIENT MATRIX GIVEN COLU 34403 61 LCULATES THE EIGENVALUES OF A SYMMETRIC MATRIX BY MEANS OF QR ITERATION. 34164 113 LCULATES THE EIGENVALUES OF A SYMMETRIC MATRIX BY MEANS OF QR ITERATION. 34162 113 NVALUES AND EIGENVECTORS OF A SYMMETRIC MATRIX BY MEANS OF QR ITERATION. 34163 113 TFMSYMTRI1 TRANSFORMS A REAL SYMMETRIC MATRIX INTO A SIMILAR TRIDIAGONAL ONE BY MEANS OF HOUSEHOLDER'S TRANSFORMA 34143 101 TFMSYMTRI2 TRANSFORMS A REAL SYMMETRIC MATRIX INTO A SIMILAR TRIDIAGONAL ONE BY MEANS OF HOUSEHOLDER'S TRANSFORMA 34140 101 ( OR SOME ) EIGENVALUES OF A SYMMETRIC MATRIX USING LINEAR INTERPOLATION OF A FUNCTION DERIVED FROM A STURM SEQUE 34155 113 ( OR SOME ) EIGENVALUES OF A SYMMETRIC MATRIX USING LINEAR INTERPOLATION OF A FUNCTION DERIVED FROM A STURM SEQUE 34153 113 SITION OF A POSITIVE DEFINITE SYMMETRIC MATRIX WHOSE UPPER TRIANGLE IS GIVEN COLUMNWISE IN A ONE-DIMENSIONAL ARRAY 34311 55 SITION OF A POSITIVE DEFINITE SYMMETRIC MATRIX WH0SE UPPER TRIANGLE IS GIVEN IN A TWO-DIMENSIONAL ARRAY. 34310 55 SYMMETRIC DECOMPOSITION OF A SYMMETRIC MATRIX. 34291 303 NVERSE OF A POSITIVE DEFINITE SYMMETRIC MATRIX, IF THE MATRIX HAS BEEN DECOMPOSED BY CHLDEC1 OR CHLDECSOL1. 34401 61 NVERSE OF A POSITIVE DEFINITE SYMMETRIC MATRIX, IF THE MATRIX HAS BEEN DECOMPOSED BY CHLDEC2 OR CHLDECSOL2. 34400 61 MINANT OF A POSITIVE DEFINITE SYMMETRIC MATRIX, THE CHOLESKY DECOMPOSITION BEING GIVEN COLUMNWISE IN A ONE-DIMENSI 34313 57 MINANT OF A POSITIVE DEFINITE SYMMETRIC MATRIX, THE CHOLESKY DECOMPOSITION BEING GIVEN IN A TWO-DIMENSIONAL ARRAY. 34312 57 CT OF A VECTOR AND A ROW OF A SYMMETRIC MATRIX, WHOSE UPPERTRIANGLE IS GIVEN COLUMNWISE IN A ONE-DIMENSIONAL ARRAY 34018 7 ITIALIZES A (CO)DIAGONAL OF A SYMMETRIC MATRIX, WHOSE UPPERTRIANGLE IS STORED COLUMNWISE IN A ONE-DIMENSIONAL ARRA 31013 1 SYMROW INITIALIZES A ROW OF A SYMMETRIC MATRIX, WHOSE UPPERTRIANGLE IS STORED COLUMNWISE IN A ONE-DIMENSIONAL ARRA 31014 1 LCULATES THE DETERMINANT OF A SYMMETRIC MATRIX,THE SYMMETRIC DECOMPOSITION BEING GIVEN. 34294 305 L2 SOLVES A POSITIVE DEFINITE SYMMETRIC SYSTEM OF LINEAR EQUATIONS BY CHOLESKY'S SQUARE ROOT METHOD; THE COEFFICIE 34392 59 L1 SOLVES A POSITIVE DEFINITE SYMMETRIC SYSTEM OF LINEAR EQUATIONS BY CHOLESKY'S SQUARE ROOT METHOD; THE COEFFICIE 34393 59 DECSOLSYM2 SOLVES A SYMMETRIC SYSTEM OF LINEAR EQUATIONS BY SYMMETRIC DECOMPOSITION. 34293 307 AD SOLVES A POSITIVE DEFINITE SYMMETRIC SYSTEM OF LINEAR EQUATIONS BY THE METHOD OF CONJUGATE GRADIENTS. 34220 95 SOLSYM2 SOLVES A SYMMETRIC SYSTEM OF LINEAR EQUATIONS IF THE COEFFICIENT MATRIX HAS BEEN DECOMPOSED B 34292 307 CALCULATES EIGENVECTORS OF A SYMMETRIC TRIDIAGONAL MATRIX BY MEANS OF INVERSE ITERATION. 34152 111 CONSECUTIVE, EIGENVALUES OF A SYMMETRIC TRIDIAGONAL MATRIX BY MEANS OF LINEAR INTERPOLATION USING A STURM SEQUENCE 34151 111 LCULATES THE EIGENVALUES OF A SYMMETRIC TRIDIAGONAL MATRIX BY MEANS OF QR ITERATION. 34160 111 NVALUES AND EIGENVECTORS OF A SYMMETRIC TRIDIAGONAL MATRIX BY MEANS OF QR ITERATION. 34161 111 TRIANGULAR DECOMPOSITION OF A SYMMETRIC TRIDIAGONAL MATRIX. 34420 91 AN MATRIX INTO A SIMILAR REAL SYMMETRIC TRIDIAGONAL MATRIX. 34363 105 DECSOLSYMTRI SOLVES A SYMMETRIC TRIDIAGONAL SYSTEM OF LINEAR EQUATIONS AND PERFORMS THE TRIDIAGONAL DECOMP 34422 93 SOLSYMTRI SOLVES A SYMMETRIC TRIDIAGONAL SYSTEM OF LINEAR EQUATIONS, THE TRIANGULAR DECOMPOSITION BEING 34421 93 SYMRESVEC CALCULATES THE RESIDUAL VECTOR A * B + X * C, WHERE A IS A SYMMETRIC MATRI 31504 15 SOLSVD SOLVES THE HOMOGENEOUS SYSTEM OF LINEAR EQUATIONS A * X = 0 AND X' * A = 0, WHERE "A" DENOTES A MATRIX AND 34284 71 GSSSOLERB SOLVES A SYSTEM OF LINEAR EQUATIONS AND CALCULATES A ROUGH UPPERBOUND FOR THE RELATIVE ERROR 34243 49 COMPOSTION OF THE MATRIX OF A SYSTEM OF LINEAR EQUATIONS AND CALCULATES AN UPPERBOUND FOR THE RELATIVE ERROR IN TH 34242 45 OLTRIPIV SOLVES A TRIDIAGONAL SYSTEM OF LINEAR EQUATIONS AND PERFORMS THE TRIANGULAR DECOMPOSITION WITH PARTIAL PI 34428 83 ECSOLTRI SOLVES A TRIDIAGONAL SYSTEM OF LINEAR EQUATIONS AND PERFORMS THE TRIANGULAR DECOMPOSITION WITHOUT PIVOTIN 34425 83 OLVES A SYMMETRIC TRIDIAGONAL SYSTEM OF LINEAR EQUATIONS AND PERFORMS THE TRIDIAGONAL DECOMPOSITION. 34422 93 GSSITISOL SOLVES A SYSTEM OF LINEAR EQUATIONS AND THE SOLUTION IS IMPROVED ITERATIVELY. 34251 53 A POSITIVE DEFINITE SYMMETRIC SYSTEM OF LINEAR EQUATIONS BY CHOLESKY'S SQUARE ROOT METHOD; THE COEFFICIENT MATRIX 34392 59 A POSITIVE DEFINITE SYMMETRIC SYSTEM OF LINEAR EQUATIONS BY CHOLESKY'S SQUARE ROOT METHOD; THE COEFFICIENT MATRIX 34393 59 DECSOLBND SOLVES A SYSTEM OF LINEAR EQUATIONS BY GAUSSIAN ELIMINATION WITH PARTIAL PIVOTING IF THE COEF 34322 79 DECSOLSYM2 SOLVES A SYMMETRIC SYSTEM OF LINEAR EQUATIONS BY SYMMETRIC DECOMPOSITION. 34293 307 A POSITIVE DEFINITE SYMMETRIC SYSTEM OF LINEAR EQUATIONS BY THE METHOD OF CONJUGATE GRADIENTS. 34220 95 CHLSOL1 SOLVES A SYSTEM OF LINEAR EQUATIONS IF THE COEFFICIENT MATRIX HAS BEEN DECOMPOSED BY CHLDEC1 34391 59 CHLSOL2 SOLVES A SYSTEM OF LINEAR EQUATIONS IF THE COEFFICIENT MATRIX HAS BEEN DECOMPOSED BY CHLDEC2 34390 59 SOLSYM2 SOLVES A SYMMETRIC SYSTEM OF LINEAR EQUATIONS IF THE COEFFICIENT MATRIX HAS BEEN DECOMPOSED BY DECSYM2 34292 307 HOMSOL SOLVES THE HOMOGENEOUS SYSTEM OF LINEAR EQUATIONS OF EQUATIONS A * X = 0 AND X' * A = 0, WHERE "A" DENOTES 34285 71 SOLTRI SOLVES A TRIDIAGONAL SYSTEM OF LINEAR EQUATIONS THE TRIANGULAR DECOMPOSITION BEING GIVEN. 34424 83 OLTRIPIV SOLVES A TRIDIAGONAL SYSTEM OF LINEAR EQUATIONS THE TRIANGULAR DECOMPOSITION BEING GIVEN. 34427 83 SOL SOLVES THE SYSTEM OF LINEAR EQUATIONS WHOSE MATRIX HAS BEEN TRIANGULARLY DECOMPOSED BY DEC. 34051 49 1KWICINDEX 31/12/79 PAGE 28 0 SOLELM SOLVES A SYSTEM OF LINEAR EQUATIONS WHOSE MATRIX HAS BEEN TRIANGULARLY DECOMPOSED BY GSSELM O 34061 49 ITISOL SOLVES A SYSTEM OF LINEAR EQUATIONS WHOSE MATRIX HAS BEEN TRIANGULARLY DECOMPOSED BY GSSELM O 34250 53 ITISOLERB SOLVES A SYSTEM OF LINEAR EQUATIONS WHOSE MATRIX HAS TRIANGULARLY DECOMPOSED BY GSSNRI; THIS 34253 53 HE ERROR IN THE SOLUTION OF A SYSTEM OF LINEAR EQUATIONS WHOSE MATRIX IS TRIANGULARLY DECOMPOSED BY GSSELM. 34241 45 DECSOL SOLVES A SYSTEM OF LINEAR EQUATIONS WHOSE ORDER IS SMALL RELATIVE TO THE NUMBER OF BINARY DIG 34301 49 RICHARDSON SOLVES A SYSTEM OF LINEAR EQUATIONS WITH POSITIVE REAL EIGENVALUES ( ELLIPTIC BOUNDARY VALUE 33170 225 ELIMINATION SOLVES A SYSTEM OF LINEAR EQUATIONS WITH POSITIVE REAL EIGENVALUES ( ELLIPTIC BOUNDARY VALUE 33171 225 GSSSOL SOLVES A SYSTEM OF LINEAR EQUATIONS. 34232 49 AND SOLVES AN OVERDETERMINED SYSTEM OF LINEAR EQUATIONS. 34281 67 AND SOLVES AN UNDERDETERMINED SYSTEM OF LINEAR EQUATIONS. 34283 69 GSSITISOLERB SOLVES A SYSTEM OF LINEAR EQUATIONS; THIS SOLUTION IS IMPROVED ITERATIVELY AND AN UPPERBOUND 34254 53 DOVR SOLVES AN OVERDETERMINED SYSTEM OF LINEAR EQUATIONS, MULTIPLYING THE RIGHT-HAND SIDE BY THE PSEUDO-INVERSE OF 34280 67 UND SOLVES AN UNDERDETERMINED SYSTEM OF LINEAR EQUATIONS, MULTIPLYING THE RIGHT-HAND SIDE BY THE PSEUDO-INVERSE OF 34282 69 SOLBND SOLVES A SYSTEM OF LINEAR EQUATIONS, THE MATRIX BEING DECOMPOSED BY DECBND. 34071 79 OLVES A SYMMETRIC TRIDIAGONAL SYSTEM OF LINEAR EQUATIONS, THE TRIANGULAR DECOMPOSITION BEING GIVEN. 34421 93 QUANEWBND SOLVES A SYSTEM OF NON-LINEAR EQUATIONS OF WHICH THE JACOBIAN ( BEING A BAND MATRIX ) IS GIVE 34430 217 QUANEWBND1 SOLVES A SYSTEM OF NON-LINEAR EQUATIONS OF WHICH THE JACOBIAN IS A BAND MATRIX. 34431 217 SOLUTION OF AN OVERDETERMINED SYSTEM OF NON-LINEAR EQUATIONS WITH MARQUARDT'S METHOD. 34440 219 SOLUTION OF AN OVERDETERMINED SYSTEM OF NON-LINEAR EQUATIONS WITH THE GAUSS-NEWTON METHOD. 34441 219 IMPEX SOLVES AN AUTONOMOUS SYSTEM OF 1ST ORDER DIFFERENTIAL EQUATIONS ( INITIAL VALUE PROBLEM ) BY MEANS OF THE 33135 231 D, IN PARTICULAR SUITABLE FOR SYSTEMS ARISING FROM TWO-DIMENSIONAL TIME-DEPENDENT PARTIAL DIFFERENTIAL EQUATIONS. 33066 295 TAMMAT := SCALAR PRODUCT OF A COLUMN VECTOR AND A COLUMN VECTOR. 34014 7 TAMVEC := SCALAR PRODUCT OF A COLUMN VECTOR AND A VECTOR. 34012 7 TAN COMPUTES THE TANGENT FOR A REAL ARGUMENT X. 35120 179 TAN COMPUTES THE TANGENT FOR A REAL ARGUMENT X. 35120 179 TANH COMPUTES THE HYPERBOLIC TANGENT FOR A REAL ARGUMENT X. 35113 181 MPUTES THE INVERSE HYPERBOLIC TANGENT FOR A REAL ARGUMENT X. 35116 181 TANH COMPUTES THE HYPERBOLIC TANGENT FOR A REAL ARGUMENT X. 35113 181 ST, 2ND OR 3RD ORDER ONE-STEP TAYLOR METHOD; THIS METHOD CAN BE USED TO SOLVE LARGE AND SPARSE SYSTEMS, PROVIDED H 33040 167 BY MEANS OF A VARIABLE ORDER TAYLOR METHOD; THIS METHOD CAN BE USED TO SOLVE STIFF SYSTEMS, WITH KNOWN EIGEN VALU 33050 169 LUATES THE FIRST K TERMS OF A TAYLOR SERIES. 31241 245 TAYPOL EVALUATES THE FIRST K TERMS OF A TAYLOR SERIES. 31241 245 TFMPREVEC IN COMBINATION WITH TFMSYMTRI2 CALCULATES THE TRANSFORMING MATRIX. 34142 101 TFMREAHES TRANSFORMS A MATRIX INTO A SIMILAR UPPER-HESSENBERG MATRIX BY MEANS OF WIL 34170 103 N A VECTOR ) CORRESPONDING TO TFMREAHES. 34171 103 ON COLUMNS ) CORRESPONDING TO TFMREAHES. 34172 103 TFMSYMTRI1 TRANSFORMS A REAL SYMMETRIC MATRIX INTO A SIMILAR TRIDIAGONAL ONE BY MEAN 34143 101 ANSFORMATION CORRESPONDING TO TFMSYMTRI1. 34144 101 TFMPREVEC IN COMBINATION WITH TFMSYMTRI2 CALCULATES THE TRANSFORMING MATRIX. 34142 101 TFMSYMTRI2 TRANSFORMS A REAL SYMMETRIC MATRIX INTO A SIMILAR TRIDIAGONAL ONE BY MEAN 34140 101 ANSFORMATION CORRESPONDING TO TFMSYMTRI2. 34141 101 ARISING FROM TWO-DIMENSIONAL TIME-DEPENDENT PARTIAL DIFFERENTIAL EQUATIONS. 33066 295 BAKREAHES1 PERFORMS THE BACK TRANSFORMATION ( ON A VECTOR ) CORRESPONDING TO TFMREAHES. 34171 103 BAKREAHES2 PERFORMS THE BACK TRANSFORMATION ( ON COLUMNS ) CORRESPONDING TO TFMREAHES. 34172 103 BAKLBR PERFORMS THE BACK TRANSFORMATION CORRESPONDING TO EQILBR. 34174 97 BAKCOMHES PERFORMS THE BACK TRANSFORMATION CORRESPONDING TO HSHCOMHES. 34367 107 BAKHRMTRI PERFORMS THE BACK TRANSFORMATION CORRESPONDING TO HSHHRMTRI. 34365 105 BAKSYMTRI1 PERFORMS THE BACK TRANSFORMATION CORRESPONDING TO TFMSYMTRI1. 34144 101 BAKSYMTRI2 PERFORMS THE BACK TRANSFORMATION CORRESPONDING TO TFMSYMTRI2. 34141 101 RIX BY MEANS OF HOUSEHOLDER'S TRANSFORMATION FOLLOWED BY A COMPLEX DIAGONAL TRANSFORMATION INTO A SIMILAR UNITARY 34366 107 OLLOWED BY A COMPLEX DIAGONAL TRANSFORMATION INTO A SIMILAR UNITARY UPPER-HESSENBERG MATRIX WITH A REAL NONNEGATIV 34366 107 EANS OF A DIAGONAL SIMILARITY TRANSFORMATION. 34173 97 ONE BY MEANS OF HOUSEHOLDER'S TRANSFORMATION. 34143 101 ONE BY MEANS OF HOUSEHOLDER'S TRANSFORMATION. 34140 101 ATRIX BY MEANS OF WILKINSON'S TRANSFORMATION. 34170 103 HSHCOMHES TRANSFORMS A COMPLEX MATRIX BY MEANS OF HOUSEHOLDER'S TRANSFORMATION FOLLOWED BY A C 34366 107 1KWICINDEX 31/12/79 PAGE 29 0 HSHCOMCOL TRANSFORMS A COMPLEX VECTOR INTO A VECTOR PROPORTIONAL TO A UNIT VECTOR. 34355 23 HSHHRMTRI TRANSFORMS A HERMITIAN MATRIX INTO A SIMILAR REAL SYMMETRIC TRIDIAGONAL MATRIX. 34363 105 TFMREAHES TRANSFORMS A MATRIX INTO A SIMILAR UPPER-HESSENBERG MATRIX BY MEANS OF WILKINSON'S T 34170 103 HSHREABID TRANSFORMS A MATRIX TO BIDIAGONAL FORM, BY PREMULTIPLYING AND POSTMULTIPLYING WITH O 34260 109 CHSPOL TRANSFORMS A POLYNOMIAL FROM CHEBYSHEV SUM INTO POWER SUM FORM. 31052 43 NEWGRN TRANSFORMS A POLYNOMIAL FROM NEWTON SUM INTO POWER SUM FORM. 31050 43 POLCHS TRANSFORMS A POLYNOMIAL FROM POWER SUM INTO CHEBYSHEV SUM FORM. 31051 43 GRNNEW TRANSFORMS A POLYNOMIAL FROM POWER SUM INTO NEWTON SUM FORM. 31055 43 POLSHTCHS TRANSFORMS A POLYNOMIAL FROM POWER SUM INTO SHIFTED CHEBYSHEV SUM FORM. 31053 43 SHTCHSPOL TRANSFORMS A POLYNOMIAL FROM SHIFTED CHEBYSHEV SUM FORM INTO POWER SUM FORM. 31054 43 LINTFMPOL TRANSFORMS A POLYNOMIAL IN X INTO A POLYNOMIAL IN Y (Y = A*X + B). 31250 43 CARPOL TRANSFORMS THE CARTESIAN COORDINATES OF A COMPLEX NUMBER INTO POLAR COORDINATES. 34344 35 GSSNRI PERFORMS A TRIANGULAR DECOMPOSITION AND CALCULATES THE 1-NORM OF THE INVERSE MATRIX. 34252 45 DECBND PERFORMS A TRIANGULAR DECOMPOSITION OF A BAND MATRIX, USING PARTIAL PIVOTING. 34320 75 DECSYMTRI PERFORMS THE TRIANGULAR DECOMPOSITION OF A SYMMETRIC TRIDIAGONAL MATRIX. 34420 91 DECTRI PERFORMS A TRIANGULAR DECOMPOSITION OF A TRIDIAGONAL MATRIX. 34423 81 DECTRIPIV PERFORMS A TRIANGULAR DECOMPOSITION OF A TRIDIAGONAL MATRIX, USING PARTIAL PIVOTING. 34426 81 GSSELM PERFORMS A TRIANGULAR DECOMPOSITION WITH A COMBINATION OF PARTIAL AND COMPLETE PIVOTING. 34231 45 DEC PERFORMS A TRIANGULAR DECOMPOSITION WITH PARTIAL PIVOTING. 34300 45 AR EQUATIONS AND PERFORMS THE TRIANGULAR DECOMPOSITION WITH PARTIAL PIVOTING. 34428 83 AR EQUATIONS AND PERFORMS THE TRIANGULAR DECOMPOSITION WITHOUT PIVOTING. 34425 83 GSSERB PERFORMS A TRIANGULAR DECOMPOSTION OF THE MATRIX OF A SYSTEM OF LINEAR EQUATIONS AND CALCULATES 34242 45 CTION OF TWO VARIABLES OVER A TRIANGULAR DOMAIN. 32075 257 QUARES PROBLEM BY HOUSEHOLDER TRIANGULARIZATION WITH COLUMN INTERCHANGES AND CALCULATES THE DIAGONAL OF THE INVERS 34135 65 TDEC DELIVERS THE HOUSEHOLDER TRIANGULARIZATION WITH COLUMN INTERCHANGES OF THE MATRIX OF A LINEAR LEAST SQUARES P 34134 63 UATIONS WHOSE MATRIX HAS BEEN TRIANGULARLY DECOMPOSED BY DEC. 34051 49 LCULATES THE DETERMINANT OF A TRIANGULARLY DECOMPOSED MATRIX. 34303 47 TRICUB COMPUTES THE DEFINITE INTEGRAL OF A FUNCTION OF TWO VARIABLES OVER A TRIANGUL 32075 257 S EIGENVECTORS OF A SYMMETRIC TRIDIAGONAL MATRIX BY MEANS OF INVERSE ITERATION. 34152 111 E, EIGENVALUES OF A SYMMETRIC TRIDIAGONAL MATRIX BY MEANS OF LINEAR INTERPOLATION USING A STURM SEQUENCE. 34151 111 HE EIGENVALUES OF A SYMMETRIC TRIDIAGONAL MATRIX BY MEANS OF QR ITERATION. 34160 111 D EIGENVECTORS OF A SYMMETRIC TRIDIAGONAL MATRIX BY MEANS OF QR ITERATION. 34161 111 GONAL ELEMENTS OF A HERMITIAN TRIDIAGONAL MATRIX WHICH IS UNITARY SIMILAR WITH A GIVEN HERMITIAN MATRIX. 34364 105 TRIANGULAR DECOMPOSITION OF A TRIDIAGONAL MATRIX. 34423 81 DECOMPOSITION OF A SYMMETRIC TRIDIAGONAL MATRIX. 34420 91 INTO A SIMILAR REAL SYMMETRIC TRIDIAGONAL MATRIX. 34363 105 TRIANGULAR DECOMPOSITION OF A TRIDIAGONAL MATRIX, USING PARTIAL PIVOTING. 34426 81 MMETRIC MATRIX INTO A SIMILAR TRIDIAGONAL ONE BY MEANS OF HOUSEHOLDER'S TRANSFORMATION. 34143 101 MMETRIC MATRIX INTO A SIMILAR TRIDIAGONAL ONE BY MEANS OF HOUSEHOLDER'S TRANSFORMATION. 34140 101 DECSOLTRI SOLVES A TRIDIAGONAL SYSTEM OF LINEAR EQUATIONS AND PERFORMS THE TRIANGULAR DECOMPOSITION WIT 34425 83 DECSOLTRIPIV SOLVES A TRIDIAGONAL SYSTEM OF LINEAR EQUATIONS AND PERFORMS THE TRIANGULAR DECOMPOSITION WIT 34428 83 CSOLSYMTRI SOLVES A SYMMETRIC TRIDIAGONAL SYSTEM OF LINEAR EQUATIONS AND PERFORMS THE TRIDIAGONAL DECOMPOSITION. 34422 93 SOLTRI SOLVES A TRIDIAGONAL SYSTEM OF LINEAR EQUATIONS THE TRIANGULAR DECOMPOSITION BEING GIVEN. 34424 83 SOLTRIPIV SOLVES A TRIDIAGONAL SYSTEM OF LINEAR EQUATIONS THE TRIANGULAR DECOMPOSITION BEING GIVEN. 34427 83 SOLSYMTRI SOLVES A SYMMETRIC TRIDIAGONAL SYSTEM OF LINEAR EQUATIONS, THE TRIANGULAR DECOMPOSITION BEING GIVEN. 34421 93 FEMHERMSYM SOLVES A LINEAR TWO-POINT BOUNDARY-VALUE PROBLEM FOR A FOURTH ORDER SELF-ADJOINT DIFFERENTIAL EQUATI 33303 265 FEMLAGSKEW SOLVES A LINEAR TWO-POINT BOUNDARY-VALUE PROBLEM FOR A SECOND ORDER DIFFERENTIAL EQUATION BY A RITZ- 33302 263 EMLAGSKEW SOLVES A NON-LINEAR TWO-POINT BOUNDARY-VALUE PROBLEM FOR A SECOND ORDER DIFFERENTIAL EQUATION WITH SPHER 33314 317 FEMLAGSYM SOLVES A LINEAR TWO-POINT BOUNDARY-VALUE PROBLEM FOR A SECOND ORDER SELF-ADJOINT DIFFERENTIAL EQUATI 33300 261 FEMLAG SOLVES A LINEAR TWO-POINT BOUNDARY-VALUE PROBLEM FOR A SECOND ORDER SELF-ADJOINT DIFFERENTIAL EQUATI 33301 261 FEMLAGSPHER SOLVES A LINEAR TWO-POINT BOUNDARY-VALUE PROBLEM FOR A SECOND ORDER SELF-ADJOINT DIFFERENTIAL EQUATI 33308 261 S DECOMPOSITION AND SOLVES AN UNDERDETERMINED SYSTEM OF LINEAR EQUATIONS. 34283 69 SOLSVDUND SOLVES AN UNDERDETERMINED SYSTEM OF LINEAR EQUATIONS, MULTIPLYING THE RIGHT-HAND SIDE BY THE P 34282 69 UNDERFLOW TESTS WHETHER A VALUE IS AN UNDERFLOW VALUE. 30009 275 N TRIDIAGONAL MATRIX WHICH IS UNITARY SIMILAR WITH A GIVEN HERMITIAN MATRIX. 34364 105 TRANSFORMATION INTO A SIMILAR UNITARY UPPER-HESSENBERG MATRIX WITH A REAL NONNEGATIVE SUBDIAGONAL. 34366 107 COMPLEX EIGENVALUES OF A REAL UPPER-HESSENBERG MATRIX BY MEANS OF DOUBLE QR ITERATION. 34190 115 VEN REAL EIGENVALUE OF A REAL UPPER-HESSENBERG MATRIX BY MEANS OF INVERSE ITERATION. 34181 115 1KWICINDEX 31/12/79 PAGE 30 0 COMPLEX EIGENVALUE OF A REAL UPPER-HESSENBERG MATRIX BY MEANS OF INVERSE ITERATION. 34191 115 FORMS A MATRIX INTO A SIMILAR UPPER-HESSENBERG MATRIX BY MEANS OF WILKINSON'S TRANSFORMATION. 34170 103 MATION INTO A SIMILAR UNITARY UPPER-HESSENBERG MATRIX WITH A REAL NONNEGATIVE SUBDIAGONAL. 34366 107 THE EIGENVALUES OF A COMPLEX UPPER-HESSENBERG MATRIX WITH A REAL SUBDIAGONAL. 34372 121 THE EIGENVALUES OF A COMPLEX UPPER-HESSENBERG MATRIX. 34373 121 TES THE EIGENVALUES OF A REAL UPPER-HESSENBERG MATRIX, PROVIDED THAT ALL EIGENVALUES ARE REAL, BY MEANS OF SINGLE 34180 115 ES AND EIGENVECTORS OF A REAL UPPER-HESSENBERG MATRIX, PROVIDED THAT ALL EIGENVALUES ARE REAL, BY MEANS OF SINGLE 34186 115 SE OF A MATRIX AND 1-NORM, AN UPPERBOUND FOR THE ERROR IN THE INVERSE MATRIX IS ALSO GIVEN. 34244 51 ON IS IMPROVED ITERATIVELY AN UPPERBOUND FOR THE ERROR IN THE SOLUTION IS CALCULATED. 34253 53 S IMPROVED ITERATIVELY AND AN UPPERBOUND FOR THE ERROR IN THE SOLUTION IS CALCULATED. 34254 53 ERBELM CALCULATES A ROUGH UPPERBOUND FOR THE ERROR IN THE SOLUTION OF A SYSTEM OF LINEAR EQUATIONS WHOSE MATRI 34241 45 ATIONS AND CALCULATES A ROUGH UPPERBOUND FOR THE RELATIVE ERROR IN THE CALCULATED SOLUTION. 34243 49 R EQUATIONS AND CALCULATES AN UPPERBOUND FOR THE RELATIVE ERROR IN THE SOLUTION OF THAT SYSTEM. 34242 45 VALQRICOM CALCULATES THE EIGENVALUES OF A COMPLEX UPPER-HESSENBERG MATRIX WITH A REA 34372 121 VALSYMTRI CALCULATES ALL, OR SOME CONSECUTIVE, EIGENVALUES OF A SYMMETRIC TRIDIAGONA 34151 111 LY DECREASING TERMS USING THE VAN WIJNGAARDEN TRANSFORMATION. 32020 131 VECPERM PERMUTES THE ELEMENTS OF A GIVEN VECTOR ACCORDING TO A GIVEN PERMUTATION OF 36404 297 VECSYMTRI CALCULATES EIGENVECTORS OF A SYMMETRIC TRIDIAGONAL MATRIX BY MEANS OF INVE 34152 111 LATES THE SCALAR PRODUCT OF A VECTOR AND A COLUMN VECTOR BY DOUBLE PRECISION ARITHMETIC. 34412 285 LATES THE SCALAR PRODUCT OF A VECTOR AND A ROW VECTOR BY DOUBLE PRECISION ARITHMETIC. 34411 285 VECVEC := SCALAR PRODUCT OF A VECTOR AND A VECTOR. 34010 7 DUPCOLVEC COPIES A VECTOR INTO A COLUMN VECTOR. 31034 3 DUPROWVEC COPIES A VECTOR INTO A ROW VECTOR. 31032 3 SHCOMCOL TRANSFORMS A COMPLEX VECTOR INTO A VECTOR PROPORTIONAL TO A UNIT VECTOR. 34355 23 ES A CONSTANT MULTIPLIED BY A VECTOR INTO A VECTOR. 31020 5 DUPVEC COPIES A VECTOR INTO ANOTHER VECTOR. 31030 3 OLVEC ADDS A CONSTANT TIMES A VECTOR TO A COLUMN VECTOR. 34022 9 OMPLEX NUMBER TIMES A COMPLEX VECTOR TO A COMPLEX ROW VECTOR. 34378 25 OWVEC ADDS A CONSTANT TIMES A VECTOR TO A ROW VECTOR. 34027 9 LMVEC ADDS A CONSTANT TIMES A VECTOR TO A VECTOR. 34020 9 INIVEC INITIALIZES A VECTOR WITH A CONSTANT. 31010 1 ULATES THE INFINITY-NORM OF A VECTOR. 31061 241 EC CALCULATES THE 1-NORM OF A VECTOR. 31065 241 TES THE SCALAR PRODUCT OF TWO VECTORS BY DOUBLE LENTGH ARITHMETIC. 34410 285 VECVEC := SCALAR PRODUCT OF A VECTOR AND A VECTOR. 34010 7 TES THE GAUSSIAN WEIGHTS OF A WEIGHT FUNCTION, THE RECURRENCE COEFFICIENTS BEING GIVEN. 31253 313 TES THE GAUSSIAN WEIGHTS OF A WEIGHT FUNCTION, THE RECURRENCE COEFFICIENTS BEING GIVEN. 31252 313 TS COMPUTES THE ABSCISSAE AND WEIGHTS FOR GAUSS- JACOBI QUADRATURE. 31425 291 TS COMPUTES THE ABSCISSAE AND WEIGHTS FOR GAUSS- LAGRANGE QUADRATURE. 31427 291 SSWTS CALCULATES THE GAUSSIAN WEIGHTS OF A WEIGHT FUNCTION, THE RECURRENCE COEFFICIENTS BEING GIVEN. 31253 313 TSSYM CALCULATES THE GAUSSIAN WEIGHTS OF A WEIGHT FUNCTION, THE RECURRENCE COEFFICIENTS BEING GIVEN. 31252 313 ECREASING TERMS USING THE VAN WIJNGAARDEN TRANSFORMATION. 32020 131 HESSENBERG MATRIX BY MEANS OF WILKINSON'S TRANSFORMATION. 34170 103 NDS ( IN A GIVEN INTERVAL ) A ZERO OF A FUNCTION OF ONE VARIABLE USING VALUES OF THE FUNCTION AND OF ITS DERIVATIV 34453 233 NDS ( IN A GIVEN INTERVAL ) A ZERO OF A FUNCTION OF ONE VARIABLE. 34150 215 NDS ( IN A GIVEN INTERVAL ) A ZERO OF A FUNCTION OF ONE VARIABLE. 34436 215 ZEROIN FINDS ( IN A GIVEN INTERVAL ) A ZERO OF A FUNCTION OF ONE VARIABLE. 34150 215 ZEROINDER FINDS ( IN A GIVEN INTERVAL ) A ZERO OF A FUNCTION OF ONE VARIABLE USING V 34453 233 ZEROINRAT FINDS ( IN A GIVEN INTERVAL ) A ZERO OF A FUNCTION OF ONE VARIABLE. 34436 215 AIRYZEROS COMPUTES THE ZEROS AND ASSOCIATED VALUES OF THE AIRY FUNCTIONS AI(Z) AND BI(Z) AND THEIR DERIVATI 35145 243 BESSZEROS CALCULATES ZEROS OF A BESSELFUNCTION (OF 1ST OR 2ND KIND) AND OF ITS DERIVATIVE. 35184 249 ALLJACZER CALCULATES THE ZEROS OF A JACOBIAN POLYNOMIAL. 31370 211 ALLLAGZER CALCULATES THE ZEROS OF A LAGUERRE POLYNOMIAL. 31371 211 POLZEROS CALCULATES ALL ZEROS OF A POLYNOMIAL WITH REAL COEFFICIENTS. 34500 209 TES THE ERROR IN APPROXIMATED ZEROS OF A POLYNOMIAL WITH REAL COEFFICIENTS. 34502 311 ALLZERORTPOL CALCULATES ALL ZEROS OF AN ORTHOGONAL POLYNOMIAL. 31362 211 1KWICINDEX 31/12/79 PAGE 31 0 ER OF ADJACENT UPPER OR LOWER ZEROS OF AN ORTHOGONAL POLYNOMIAL. 31363 211 LCULATES A NUMBER OF ADJACENT ZEROS OF AN ORTHOGONAL POLYNOMIAL. 31364 211 ZERPOL CALCULATES ALL ROOTS ( ZEROS) OF A POLYNOMIAL WITH REAL COEFFICIENTS BY LAGUERRE'S METHOD. 34501 311 ZERPOL CALCULATES ALL ROOTS (ZEROS) OF A POLYNOMIAL WITH REAL COEFFICIENTS BY LAGUER 34501 311 ONENRMCOL CALCULATES THE 1-NORM OF A COLUMN VECTOR. 31067 241 ONENRMMAT CALCULATES THE 1-NORM OF A MATRIX. 31068 241 ONENRMROW CALCULATES THE 1-NORM OF A ROW VECTOR. 31066 241 ONENRMVEC CALCULATES THE 1-NORM OF A VECTOR. 31065 241 OMPOSITION AND CALCULATES THE 1-NORM OF THE INVERSE MATRIX. 34252 45 ONENRMINV CALCULATES THE 1-NORM OF THE INVERSE OF A MATRIX WHOSE TRIANGULARLY DECOMPOSED FORM IS DELIVERED BY 34240 45 S THE INVERSE OF A MATRIX AND 1-NORM, AN UPPERBOUND FOR THE ERROR IN THE INVERSE MATRIX IS ALSO GIVEN. 34244 51