1 INDEX PROCEDURE CODE MNT/YR RECORD NUMBER 1.ELEMENTARY PROCEDURES 1.REAL VECT AND MAT OPERATIONS 1.INITIALIZATION INIVEC * 31010 APR/74 1 INIMAT * 31011 APR/74 1 INIMATD * 31012 APR/74 1 INISYMD 31013 APR/74 1 INISYMROW 31014 APR/74 1 2.DUPLICATION DUPVEC * 31030 APR/74 3 DUPVECROW * 31031 APR/74 3 DUPROWVEC * 31032 APR/74 3 DUPVECCOL * 31033 APR/74 3 DUPCOLVEC * 31034 APR/74 3 DUPMAT * 31035 APR/74 3 3.MULTIPLICATION MULVEC * 31020 APR/74 5 MULROW * 31021 APR/74 5 MULCOL * 31022 APR/74 5 COLCST * 31131 APR/74 5 ROWCST * 31132 APR/74 5 4.SCALAR PRODUCTS 1.VECTOR VECTOR PRODUCTS VECVEC * 34010 DEC/75 7 MATVEC * 34011 DEC/75 7 TAMVEC * 34012 DEC/75 7 MATMAT * 34013 DEC/75 7 TAMMAT * 34014 DEC/75 7 MATTAM * 34015 DEC/75 7 SEQVEC * 34016 DEC/75 7 SCAPRD1 * 34017 DEC/75 7 SYMMATVEC 34018 DEC/75 7 2.MATRIX VECTOR PRODUCTS FULMATVEC * 31500 DEC/75 15 FULTAMVEC * 31501 DEC/75 15 FULSYMMATVEC 31502 DEC/75 15 RESVEC * 31503 DEC/75 15 SYMRESVEC 31504 DEC/75 15 3.MATRIX MATRIX PRODUCTS HSHVECMAT * 31070 JAN/76 269 HSHCOLMAT * 31071 JAN/76 269 HSHROWMAT * 31072 JAN/76 269 HSHVECTAM * 31073 JAN/76 269 HSHCOLTAM * 31074 JAN/76 269 HSHROWTAM * 31075 JAN/76 269 5.ELIMINATION ELMVEC * 34020 APR/74 9 ELMCOL * 34023 APR/74 9 ELMROW * 34024 APR/74 9 ELMVECCOL * 34021 APR/74 9 ELMCOLVEC * 34022 APR/74 9 ELMVECROW * 34026 APR/74 9 ELMROWVEC * 34027 APR/74 9 ELMCOLROW * 34029 APR/74 9 1. 1. 5. ELMROWCOL * 34028 APR/74 9 1 INDEX PROCEDURE CODE MNT/YR RECORD NUMBER 1. 1. 5. MAXELMROW * 34025 APR/74 9 6.INTERCHANGING ICHVEC * 34030 APR/74 11 ICHCOL * 34031 APR/74 11 ICHROW * 34032 APR/74 11 ICHROWCOL * 34033 APR/74 11 ICHSEQVEC * 34034 APR/74 11 ICHSEQ * 34035 APR/74 11 7.ROTATION ROTCOL * 34040 APR/74 13 ROTROW * 34041 APR/74 13 8.NORMS INFNRMVEC * 31061 OCT/75 241 INFNRMROW * 31062 OCT/75 241 INFNRMCOL * 31063 OCT/75 241 INFNRMMAT * 31064 OCT/75 241 ONENRMVEC * 31065 OCT/75 241 ONENRMROW * 31066 OCT/75 241 ONENRMCOL * 31067 OCT/75 241 ONENRMMAT * 31068 OCT/75 241 ABSMAXMAT * 31069 OCT/75 241 9.SCALING REASCL 34183 APR/74 17 2.COMPL VECT AND MAT OPERATIONS 1. 2. 3.MULTIPLICATION COMCOLCST 34352 MAY/74 21 COMROWCST 34353 MAY/74 21 4.SCALAR PRODUCTS COMMATVEC 34354 MAY/74 23 HSHCOMCOL 34355 MAY/74 23 HSHCOMPRD 34356 MAY/74 23 5.ELIMINATION ELMCOMVECCOL 34376 MAY/74 25 ELMCOMCOL 34377 MAY/74 25 ELMCOMROWVEC 34378 MAY/74 25 6.INTERCHANGING 7.ROTATION ROTCOMCOL 34357 JAN/76 287 ROTCOMROW 34358 JAN/76 287 CHSH2 34611 JAN/76 287 8.NORMS COMEUCNRM 34359 DEC/75 31 9.SCALING COMSCL 34193 DEC/75 29 SCLCOM 34360 DEC/75 29 3.COMPLEX ARITHMETIC 1.MONADIC OPERATIONS COMABS 34340 MAY/74 35 COMSQRT 34343 MAY/74 35 CARPOL 34344 MAY/74 35 2.DYADIC OPERATIONS COMMUL 34341 MAY/74 37 1. 3. 2. COMDIV 34342 MAY/74 37 1 INDEX PROCEDURE CODE MNT/YR RECORD NUMBER 1. 4.LONG INTEGER ARITHMETIC LNGINTADD 31200 OCT/74 201 LNGINTSUBTRACT 31201 OCT/74 201 LNGINTMULT 31202 OCT/74 201 LNGINTDIVIDE 31203 OCT/74 201 LNGINTPOWER 31204 OCT/74 201 5.LONG REAL ARITHMETIC 1.ELEM. ARITHMETIC OPERATIONS DP ADD * 31101 MRC/77 271 DP SUB * 31102 MRC/77 271 DP MUL * 31103 MRC/77 271 DP DIV * 31104 MRC/77 271 DP POW 31109 MRC/77 271 LNG ADD * 31105 MRC/77 271 LNG SUB * 31106 MRC/77 271 LNG MUL * 31107 MRC/77 271 LNG DIV * 31108 MRC/77 271 LNG POW 31110 MRC/77 271 2.SCALAR PRODUCTS LNGVECVEC * 34410 JAN/76 285 LNGMATVEC * 34411 JAN/76 285 LNGTAMVEC * 34412 JAN/76 285 LNGMATMAT * 34413 JAN/76 285 LNGTAMMAT * 34414 JAN/76 285 LNGMATTAM * 34415 JAN/76 285 LNGSEQVEC * 34416 JAN/76 285 LNGSCAPRD1 * 34417 JAN/76 285 LNGSYMMATVEC 34418 JAN/76 285 LNGFULMATVEC * 31505 JAN/76 285 LNGFULTAMVEC * 31506 JAN/76 285 LNGFULSYMMATVEC 31507 JAN/76 285 LNGRESVEC * 31508 JAN/76 285 LNGSYMRESVEC 31509 JAN/76 285 3.CONVERSION LNGREATODECI 31100 MRC/77 289 2.ALGEBRAIC EVALUATIONS 1.EVAL. OF A FINITE SERIES 2.EVAL. OF POLYNOMIALS 1.EVAL. OF GENERAL POLYNOMIALS 1.POLYNOMIALS IN GRUNERT FORM POL 31040 OCT/75 245 TAYPOL 31241 OCT/75 245 NORDERPOL 31242 OCT/75 245 DERPOL 31243 OCT/75 245 2.POLYNOMIALS IN NEWTON FORM 2.EVAL. OF ORTHOGON. POLYNOMIALS 1.GENERAL ORTHOGON. POLYNOMIALS ORTPOL 31044 NOV/78 293 ORTPOLSYM 31048 NOV/78 293 ALLORTPOL 31045 NOV/78 293 ALLORTPOLSYM 31049 NOV/78 293 SUMORTPOL 31047 NOV/78 293 SUMORTPOLSYM 31058 NOV/78 293 2.CHEBYCHEV POLYNOMIALS 2. 2. 2. 2. CHEPOLSUM 31046 DEC/78 229 1 INDEX PROCEDURE CODE MNT/YR RECORD NUMBER 2. 2. 2. 2. ODDCHEPOLSUM 31059 DEC/78 229 CHEPOL 31042 DEC/78 229 ALLCHEPOL 31043 DEC/78 229 3.EVAL. OF TRIGONOM. POLYNOMIALS 1.EVAL. OF FOURIER SERIES SINSER 31090 OCT/74 203 COSSER 31091 OCT/74 203 FOUSER 31092 OCT/74 203 FOUSER1 31093 OCT/74 203 FOUSER2 31094 OCT/74 203 COMFOUSER 31095 OCT/74 203 COMFOUSER1 31096 OCT/74 203 COMFOUSER2 31097 OCT/74 203 3.EVAL. OF CONTINUED FRACTIONS JFRAC 35083 MAY/74 41 4.OPERATIONS ON POLYNOMIALS 1.TRANSF. OF REPRESENTATION POLCHS 31051 DEC/78 43 CHSPOL 31052 DEC/78 43 POLSHTCHS 31053 DEC/78 43 SHTCHSPOL 31054 DEC/78 43 GRNNEW 31055 DEC/78 43 NEWGRN 31050 DEC/78 43 LINTFMPOL 31250 DEC/78 43 2.OP. ON GENERAL POLYNOMIALS 3.OP. ON ORTHOGONAL POLYNOMIALS INTCHS 31248 OCT/74 205 5.FAST FOURIER TRANSFORM 3.LINEAR ALGEBRA 1.LINEAR SYSTEMS 1.FULL MATRICES 1.SQUARE NON-SINGULAR MATRICES 1.REAL MATRICES 1.GENERAL MATRICES 1.PREPARATORY PROCEDURES DEC 34300 MAY/74 45 GSSELM 34231 MAY/74 45 ONENRMINV 34240 MAY/74 45 ERBELM 34241 MAY/74 45 GSSERB 34242 MAY/74 45 GSSNRI 34252 MAY/74 45 2.CALCULATION OF DETERMINANT DETERM 34303 MAY/74 47 3.SOLUTION OF LINEAR EQUATIONS SOL 34051 MAY/74 49 DECSOL 34301 MAY/74 49 SOLELM 34061 MAY/74 49 GSSSOL 34232 MAY/74 49 GSSSOLERB 34243 MAY/74 49 4.MATRIX INVERSION INV 34053 MAY/74 51 DECINV 34302 MAY/74 51 INV1 34235 MAY/74 51 GSSINV 34236 MAY/74 51 3. 1. 1. 1. 1. 1. 4. GSSINVERB 34244 MAY/74 51 1 INDEX PROCEDURE CODE MNT/YR RECORD NUMBER 3. 1. 1. 1. 1. 1. 5.ITERATIVELY IMPROVED SOLUTION ITISOL 34250 MAY/74 53 GSSITISOL 34251 MAY/74 53 ITISOLERB 34253 MAY/74 53 GSSITISOLERB 34254 MAY/74 53 2.SYMMETRIC POS DEF MATRICES 1.PREPARATORY PROCEDURES CHLDEC2 34310 MAY/74 55 CHLDEC1 34311 MAY/74 55 2.CALCULATION OF DETERMINANT CHLDETERM2 34312 MAY/74 57 CHLDETERM1 34313 MAY/74 57 3.SOLUTION OF LINEAR EQUATIONS CHLSOL2 34390 MAY/74 59 CHLSOL1 34391 MAY/74 59 CHLDECSOL2 34392 MAY/74 59 CHLDECSOL1 34393 MAY/74 59 4.MATRIX INVERSION CHLINV2 34400 MAY/74 61 CHLINV1 34401 MAY/74 61 CHLDECINV2 34402 MAY/74 61 CHLDECINV1 34403 MAY/74 61 3.GENERAL SYMMETRIC MATRICES 1.PREPARATORY PROCEDURES DECSYM2 34291 DEC/78 303 2.CALCULATION OF DETERMINANT DETERMSYM2 34294 DEC/78 305 3.SOLUTION OF LINEAR EQUATIONS SOLSYM2 34292 DEC/78 307 DECSOLSYM2 34293 DEC/78 307 2.COMPLEX MATRICES 2.FULL RANK OVERDETERM SYSTEMS 1.REAL MATRICES 1.PREPARATORY PROCEDURES LSQORTDEC 34134 MAY/74 63 LSQDGLINV 34132 MAY/74 63 2.LEAST SQUARES SOLUTION LSQSOL 34131 MAY/74 65 LSQORTDECSOL 34135 MAY/74 65 3.INVERSE MATRIX OF NORMAL EQN. LSQINV 34136 OCT/74 207 4.LEAST SQRS WITH LIN. CONSTR. LSQDECOMP 34137 DEC/78 309 LSQREFSOL 34138 DEC/78 309 2.COMPLEX MATRICES 3.OTHER PROBLEMS 1.REAL MATRICES 1.SOLUTION OVERDETERMINED SYST SOLSVDOVR 34280 MAY/74 67 SOLOVR 34281 MAY/74 67 2.SOLUTION UNDERDETERM SYSTEMS SOLSVDUND 34282 MAY/74 69 SOLUND 34283 MAY/74 69 3.SOLUTION HOMOGENEOUS EQUATION 3. 1. 1. 3. 1. 3. HOMSOLSVD 34284 MAY/74 71 1 INDEX PROCEDURE CODE MNT/YR RECORD NUMBER 3. 1. 1. 3. 1. 3. HOMSOL 34285 MAY/74 71 4.PSEUDO-INVERSION PSDINVSVD 34286 MAY/74 73 PSDINV 34287 MAY/74 73 2.COMPLEX MATRICES 2.SPARSE MATRICES 1.DIRECT METHODS 1.REAL MATRICES 1.NON-SYMMETRIC MATRICES 1.BAND MATRICES 1.PREPARATORY PROCEDURES DECBND 34320 JUN/74 75 2.CALCULATION OF DETERMINANT DETERMBND 34321 JUN/74 77 3.SOLUTION OF LINEAR EQUATIONS SOLBND 34071 JUN/74 79 DECSOLBND 34322 JUN/74 79 2.TRIDIAGONAL MATRICES 1.PREPARATORY PROCEDURES DECTRI 34423 JUN/74 81 DECTRIPIV 34426 JUN/74 81 2.CALCULATION OF DETERMINANT 3.SOLUTION OF LINEAR EQUATIONS SOLTRI 34424 JUN/74 83 DECSOLTRI 34425 JUN/74 83 SOLTRIPIV 34427 JUN/74 83 DECSOLTRIPIV 34428 JUN/74 83 3.BLOC-TRIDIAGONAL MATRICES 2.SYMMETRIC POS DEF MATRICES 1.BAND MATRICES 1.PREPARATORY PROCEDURES CHLDECBND 34330 JUN/74 85 2.CALCULATION OF DETERMINANT CHLDETERMBND 34331 JUN/74 87 3.SOLUTION OF LINEAR EQUATIONS CHLSOLBND 34332 JUN/74 89 CHLDECSOLBND 34333 JUN/74 89 2.TRIDIAGONAL MATRICES 1.PREPARATORY PROCEDURES DECSYMTRI 34420 JUN/74 91 2.CALCULATION OF DETERMINANT 3.SOLUTION OF LINEAR EQUATIONS SOLSYMTRI 34421 JUN/74 93 DECSOLSYMTRI 34422 JUN/74 93 3.BLOC-TRIDIAGONAL MATRICES 2.COMPLEX MATRICES 2.ITERATIVE METHODS 1.REAL MATRICES CONJ GRAD 34220 JUN/74 95 2.COMPLEX MATRICES 2.TRANSFORMATION TO SPECIAL FORM 1.SIMILARITY TRANSFORMATIONS 1.EQUILIBRATION 1.REAL MATRICES 3. 2. 1. 1. 1. EQILBR 34173 JUN/74 97 1 INDEX PROCEDURE CODE MNT/YR RECORD NUMBER 3. 2. 1. 1. 1. BAKLBR 34174 JUN/74 97 2.COMPLEX MATRICES EQILBRCOM 34361 JUN/74 99 BAKLBRCOM 34362 JUN/74 99 2.TRANSF TO HESSENBERG FORM 1.REAL MATRICES 1.SYMMETRIC MATRICES TFMSYMTRI2 34140 JUN/74 101 BAKSYMTRI2 34141 JUN/74 101 TFMPREVEC 34142 JUN/74 101 TFMSYMTRI1 34143 JUN/74 101 BAKSYMTRI1 34144 JUN/74 101 2.ASYMMETRIC MATRICES TFMREAHES 34170 JUN/74 103 BAKREAHES1 34171 JUN/74 103 BAKREAHES2 34172 JUN/74 103 2.COMPLEX MATRICES 1.HERMITIAN MATRICES HSHHRMTRI 34363 JUN/74 105 HSHHRMTRIVAL 34364 JUN/74 105 BAKHRMTRI 34365 JUN/74 105 2.NON-HERMITIAN MATRICES HSHCOMHES 34366 JUN/74 107 BAKCOMHES 34367 JUN/74 107 2.OTHER TRANSFORMATIONS 1.TRANSF TO BIDIAGONAL FORM 1.REAL MATRICES HSHREABID 34260 JUN/74 109 PSTTFMMAT 34261 JUN/74 109 PRETFMMAT 34262 JUN/74 109 2.COMPLEX MATRICES 3.THE (ORDINARY) EIGENV PROBLEM 1.REAL MATRICES 1.SYMMETRIC MATRICES 1.TRIDIAGONAL MATRICES VALSYMTRI 34151 JUL/74 111 VECSYMTRI 34152 JUL/74 111 QRIVALSYMTRI 34160 JUL/74 111 QRISYMTRI 34161 JUL/74 111 2.FULL MATRICES EIGVALSYM2 34153 JUL/74 113 EIGSYM2 34154 JUL/74 113 EIGVALSYM1 34155 JUL/74 113 EIGSYM1 34156 JUL/74 113 QRIVALSYM2 34162 JUL/74 113 QRISYM 34163 JUL/74 113 QRIVALSYM1 34164 JUL/74 113 3.ITERATIVE IMPROVEMENT 1.AUXILIARY PROCEDURES MERGESORT 36405 NOV/76 297 VECPERM 36404 NOV/76 297 ROWPERM 36403 NOV/76 297 2.ORTHOGONALISATION ORTHOG 36402 NOV/76 299 3. 3. 1. 1. 3. 3.IMPROVEMENT AND ERRORBOUNDS 1 INDEX PROCEDURE CODE MNT/YR RECORD NUMBER 3. 3. 1. 1. 3. 3. SYMEIGINP 36401 NOV/76 301 2.ASYMMETRIC MATRICES 1.MATRICES IN HESSENBERG FORM REAVALQRI 34180 JUL/74 115 REAVECHES 34181 JUL/74 115 REAQRI 34186 JUL/74 115 COMVALQRI 34190 JUL/74 115 COMVECHES 34191 JUL/74 115 2.FULL MATRICES REAEIGVAL 34182 JUL/74 117 REAEIG1 34184 JUL/74 117 REAEIG3 34187 JUL/74 117 COMEIGVAL 34192 JUL/74 117 COMEIG1 34194 JUL/74 117 2.COMPLEX MATRICES 1.HERMITIAN MATRICES EIGVALHRM 34368 JUL/74 119 EIGHRM 34369 JUL/74 119 QRIVALHRM 34370 JUL/74 119 QRIHRM 34371 JUL/74 119 2.NON-HERMITIAN MATRICES 1.MATRICES IN HESSENBERG FORM VALQRICOM 34372 JUL/74 121 QRICOM 34373 JUL/74 121 2.FULL MATRICES EIGVALCOM 34374 JUL/74 123 EIGCOM 34375 JUL/74 123 4.THE GENERALIZED EIGENV PROBLEM 1.REAL MATRICES 1.SYMMETRIC MATRICES 2.ASYMMETRIC MATRICES QZIVAL 34600 JAN/76 267 QZI 34601 JAN/76 267 HSHDECMUL 34602 JAN/76 267 HESTGL3 34603 JAN/76 267 HESTGL2 34604 JAN/76 267 HSH2COL 34605 JAN/76 267 HSH3COL 34606 JAN/76 267 HSH2ROW3 34607 JAN/76 267 HSH2ROW2 34608 JAN/76 267 HSH3ROW3 34609 JAN/76 267 HSH3ROW2 34610 JAN/76 267 5.SINGULAR VALUES 1.REAL MATRICES 1.BIDIAGONAL MATRICES QRISNGVALBID 34270 JUL/74 125 QRISNGVALDECBID 34271 JUL/74 125 2.FULL MATRICES QRISNGVAL 34272 JUL/74 127 QRISNGVALDEC 34273 JUL/74 127 2.COMPLEX MATRICES 6.ZEROS OF POLYNOMIALS 1.ZEROS OF GENERAL REAL POLYNOM. ZERPOL 34501 DEC/78 311 3. 6. 1. BOUNDS 34502 DEC/78 311 1 INDEX PROCEDURE CODE MNT/YR RECORD NUMBER 3. 6. 2.ZEROS OF ORTHOGONAL POLYNOM. ALLZERORTPOL 31362 DEC/78 211 LUPZERORTPOL 31363 DEC/78 211 SELZERORTPOL 31364 DEC/78 211 ALLJACZER 31370 DEC/78 211 ALLLAGZER 31371 DEC/78 211 3.ZEROS OF COMPLEX POLYNOMIALS COMKWD 34345 JUL/74 129 4.ANALYTIC EVALUATIONS 1.EVAL. OF AN INFINITE SERIES EULER 32010 JUL/74 131 SUMPOSSERIES 32020 JUL/74 131 2.QUADRATURE 1.ONE-DIMENSIONAL QUADRATURE QADRAT 32070 JUL/74 133 INTEGRAL 32051 JUL/74 135 2.MULTIDIMENSIONAL QUADRATURE TRICUB 32075 OCT/75 257 3.GAUSSIAN QUADRATURE 1.GENERAL WEIGHTS RECCOF 31254 NOV/78 313 GSSWTS 31253 NOV/78 313 GSSWTSSYM 31252 NOV/78 313 2.SPECIAL WEIGHTS GSSJACWGHTS 31425 NOV/76 291 GSSLAGWGHTS 31427 NOV/76 291 3.NUMERICAL DIFFERENTIATION 1.FUNCTIONS OF ONE VARIABLE 2.FUNCTIONS OF MORE VARIABLES 1.CALC. WITH DIFFERENCE FORMULAS JACOBNNF 34437 OCT/74 213 JACOBNMF 34438 OCT/74 213 JACOBNBNDF 34439 OCT/74 213 5.ANALYTICAL PROBLEMS 1.ANALYTICAL EQUATIONS 1.NON-LINEAR EQUATIONS 1.A SINGLE EQUATION 1.NO DERIVATIVE AVAILABLE ZEROIN 34150 OCT/75 215 ZEROINRAT 34436 OCT/75 215 2.DERIVATIVE AVAILABLE ZEROINDER 34453 OCT/75 233 2.A SYSTEM OF EQUATIONS 1.AUXILIARY PROCEDURES 2.JACOBIAN MATRIX NOT AVAILABLE QUANEWBND 34430 OCT/74 217 QUANEWBND1 34431 OCT/74 217 3.JACOBIAN MATRIX AVAILABLE 3.POLYNOMIAL EQUATIONS SEE ALSO SECTION 3.6 2.UNCONSTRAINED OPTIMIZATION 1.FUNCTIONS OF ONE VARIABLE 1.DERIVATIVE NOT AVAILABLE MININ 34433 DEC/78 235 5. 1. 2. 1. 2.DERIVATIVE AVAILABLE 1 INDEX PROCEDURE CODE MNT/YR RECORD NUMBER 5. 1. 2. 1. 2. MININDER 34435 OCT/75 237 2.FUNCTIONS OF MORE VARIABLES 1.AUXILIARY PROCEDURES LINEMIN 34210 DEC/75 139 RNK1UPD 34211 DEC/75 139 DAVUPD 34212 DEC/75 139 FLEUPD 34213 DEC/75 139 2.NO DERIVATIVES AVAILABLE PRAXIS 34432 OCT/75 239 3.GRADIENT AVAILABLE RNK1MIN 34214 DEC/75 19 FLEMIN 34215 DEC/75 19 4.GRADIENT & JACOBIAN AVAILABLE 3.OVERDETERMINED NONLINEAR SYST. 1.LEAST SQUARES SOLUTIONS SEE ALSO SECTION 7. 1.AUXILIARY PROCEDURES 2.JACOBIAN MATRIX NOT AVAILABLE SEE ALSO SECTION 5.1.2.2.2. 3.JACOBIAN MATRIX AVAILABLE MARQUARDT 34440 DEC/75 219 GSSNEWTON 34441 DEC/75 219 2.FUNCTIONAL EQUATIONS 1.DIFFERENTIAL EQUATIONS 1.INITIAL VALUE PROBLEMS 1.FIRST ORDER ORDINARY D.E. 1.NO DERIVATIVES RHS AVAILABLE RK1 33010 AUG/74 141 RKE 33033 DEC/75 143 RK4A 33016 AUG/74 145 RK4NA 33017 AUG/74 147 RK5NA 33018 AUG/74 149 MULTISTEP 33080 AUG/74 151 DIFFSYS 33180 AUG/74 153 ARK 33061 DEC/75 155 EFRK 33070 AUG/74 157 2.JACOBIAN MATRIX AVAILABLE EFSIRK 33160 AUG/74 159 EFERK 33120 AUG/74 161 LINIGER1VS 33132 OCT/74 221 LINIGER2 33131 AUG/74 165 IMPEX 33135 OCT/75 231 GMS 33191 OCT/74 223 SEE ALSO PROC. MULTISTEP (5.2.1.1.1.1) 3.SEVERAL DERIVATIVES AVAILABLE MODIFIED TAYLOR 33040 AUG/74 167 EXPONENTIALLY FITTED TAYLOR 33050 AUG/74 169 2.SECOND ORDER ORDINARY D.E. 1.NO DERIVATIVES RHS AVAILABLE RK2 33012 AUG/74 171 RK2N 33013 AUG/74 173 RK3 33014 AUG/74 175 RK3N 33015 AUG/74 177 2.SEVERAL DERIV. RHS AVAILABLE 5. 2. 1. 1. 3.INITIAL BOUNDARY VALUE PROBLEM 1 INDEX PROCEDURE CODE MNT/YR RECORD NUMBER 5. 2. 1. 1. 3. ARKMAT 33066 NOV/76 295 2.BOUNDARY VALUE PROBLEMS 1.TWO POINT B.V.P. 1.SHOOTING METHODS SEE ALSO SECTION 5.2.1.3.1 2.LINEAR GLOBAL METHODS 1.SECOND ORDER TPBVP 1.SELF ADJOINT TPBVP FEM LAG SYM 33300 JAN/76 261 FEM LAG 33301 JAN/76 261 FEM LAG SPHER 33308 DEC/79 261 2.SKEW ADJOINT TPBVP FEM LAG SKEW 33302 JAN/76 263 2.FOURTH ORDER TPBVP 1.SELF ADJOINT TPBVP FEM HERM SYM 33303 JAN/76 265 2.SKEW ADJOINT TPBVP 3.NON-LINEAR GLOBAL METHODS NON LIN FEM LAG SKEW 33314 DEC/79 317 2.TWO-DIMENSIONAL B.V.P. 1.ELLIPTIC B.V.P.S 1.DISCRETIZATION PROCEDURES 2.SPECIAL LINEAR SYSTEMS RICHARDSON 33170 OCT/74 225 ELIMINATION 33171 OCT/74 225 SEE ALSO SECTION 3.1.2 3.SPECIAL NON-LINEAR SYSTEMS 2.PARABOLIC & HYPERBOLIC B.V.P.S 3.MULTI-DIMENSIONAL B.V.P. 4.OVER-DETERMINED PROBLEMS 3.PARAMETER ESTIMATION IN D.E. 1.P.E. IN INITIAL VALUE PROBLEMS PEIDE 34444 OCT/75 259 2.INTEGRAL EQUATIONS 3.INTEGRO- DIFFERENTIAL EQS 4.DIFFERENCE EQUATIONS 5.CONVOLUTION EQUATIONS 6.SPECIAL FUNCTIONS & CONSTANTS 1.MATHEMATICAL CONSTANTS PI * 30006 JAN/76 273 E * 30007 JAN/76 273 2.MACHINE CONSTANTS MBASE * 30001 JAN/76 275 ARREB * 30002 JAN/76 275 DWARF * 30003 JAN/76 275 GIANT * 30004 JAN/76 275 INTCAP * 30005 JAN/76 275 OVERFLOW * 30009 JAN/76 275 UNDERFLOW * 30008 JAN/76 275 3.RANDOM NUMBERS RANDOM 30010 NOT YET AVAILABLE SETRANDOM 30011 NOT YET AVAILABLE 4.ELEMENTARY FUNCTIONS 1.CIRCULAR FUNCTIONS 6. 4. 1. TAN 35120 SEP/74 179 1 INDEX PROCEDURE CODE MNT/YR RECORD NUMBER 6. 4. 1. ARCSIN 35121 SEP/74 179 ARCCOS 35122 SEP/74 179 2.HYPERBOLIC FUNCTIONS SINH 35111 SEP/74 181 COSH 35112 SEP/74 181 TANH 35113 SEP/74 181 ARCSINH 35114 SEP/74 181 ARCCOSH 35115 SEP/74 181 ARCTANH 35116 SEP/74 181 3.LOGARITHMIC FUNCTION LOG ONE PLUS X 35130 DEC/78 315 5.EXPONENTIAL INTEGRAL, ETC. 1.EXPONENTIAL INTEGRAL EI 35080 SEP/74 183 EI ALPHA 35081 SEP/74 183 ENX 35086 SEP/74 183 NONEXP ENX 35087 SEP/74 183 2.SINE AND COSINE INTEGRAL SINCOSINT 35084 SEP/74 185 SINCOSFG 35085 SEP/74 185 6.GAMMA FUNCTION, ETC. GAMMA 35061 SEP/74 187 RECIP GAMMA 35060 SEP/74 187 LOG GAMMA 35062 SEP/74 187 INCOMGAM 35030 SEP/74 187 INCBETA 35050 SEP/74 187 IBPPLUSN 35051 SEP/74 187 IBQPLUSN 35052 SEP/74 187 IXQFIX 35053 SEP/74 187 IXPFIX 35054 SEP/74 187 FORWARD 35055 SEP/74 187 BACKWARD 35056 SEP/74 187 7.ERROR FUNCTION, ETC. ERRORFUNCTION 35021 OCT/74 227 NONEXPERFC 35022 OCT/74 227 INVERSE ERROR FUNCTION 35023 OCT/74 227 FRESNEL 35027 OCT/74 227 FG 35028 OCT/74 227 8.LEGENDRE FUNCTIONS 9.BESSEL FUNCTIONS OF INT. ORDER 1.BESSEL FUNCTIONS J AND Y BESS J0 35160 DEC/78 253 BESS J1 35161 DEC/78 253 BESS J 35162 DEC/78 253 BESS Y01 35163 DEC/78 253 BESS Y 35164 DEC/78 253 BESS PQ0 35165 DEC/78 253 BESS PQ1 35166 DEC/78 253 2.BESSEL FUNCTIONS I AND K BESS I0 35170 DEC/78 255 BESS I1 35171 DEC/78 255 BESS I 35172 DEC/78 255 BESS K01 35173 DEC/78 255 BESS K 35174 DEC/78 255 6. 9. 2. NONEXP BESS I0 35175 DEC/78 255 1 INDEX PROCEDURE CODE MNT/YR RECORD NUMBER 6. 9. 2. NONEXP BESS I1 35176 DEC/78 255 NONEXP BESS I 35177 DEC/78 255 NONEXP BESS K01 35178 DEC/78 255 NONEXP BESS K 35179 DEC/78 255 3.KELVIN FUNCTIONS 10.BESSEL FUNCTIONS OF REAL ORDER 1.BESSEL FUNCTIONS J AND Y BESS JAPLUSN 35180 DEC/78 249 BESS YA01 35181 DEC/78 249 BESS YAPLUSN 35182 DEC/78 249 BESS PQA01 35183 DEC/78 249 BESS ZEROS 35184 DEC/78 249 START 35185 DEC/78 249 2.BESSEL FUNCTIONS I AND K BESS IAPLUSN 35190 DEC/78 251 BESS KA01 35191 DEC/78 251 BESS KAPLUSN 35192 DEC/78 251 NONEXP BESS IAPLUSN 35193 DEC/78 251 NONEXP BESS KA01 35194 DEC/78 251 NONEXP BESS KAPLUSN 35195 DEC/78 251 3.SPHERICAL BESSEL FUNCTIONS SPHER BESS J 35150 DEC/78 247 SPHER BESS Y 35151 DEC/78 247 SPHER BESS I 35152 DEC/78 247 SPHER BESS K 35153 DEC/78 247 NONEXP SPHER BESS I 35154 DEC/78 247 NONEXP SPHER BESS K 35155 DEC/78 247 4.AIRY FUNCTIONS AIRY 35140 OCT/75 243 AIRYZEROS 35145 OCT/75 243 7.INTERPOLATION & APPROXIMATION 1.REAL DATA IN ONE DIMENSION 1.INTERPOLATION, WITH 1.POLYNOMIALS 1.GENERAL POLYNOMIALS NEWTON 36010 NOV/78 195 2.ORTHOGONAL POLYNOMIALS 2.SPLINES 1.GENERAL SPLINES 2.NATURAL SPLINES 3.TRIGONOMETRIC SERIES 1.FOURIER SERIES 2.SINE SERIES 3.COSINE SERIES 4.RATIONAL FUNCTIONS 5.EXPONENTIAL FUNCTIONS 2.APPROXIMATION IN 2-NORM, WITH 1.GENERAL FUNCTIONS SEE ALSO SECTION 5.1.3.1 2.POLYNOMIALS 1.GENERAL POLYNOMIALS 2.ORTHOGONAL POLYNOMIALS 3.SPLINES 1.GENERAL SPLINES 7. 1. 2. 3. 2.NATURAL SPLINES 1 INDEX PROCEDURE CODE MNT/YR RECORD NUMBER 7. 1. 2. 4.TRIGONOMETRIC SERIES 5.RATIONAL FUNCTIONS 6.EXPONENTIAL FUNCTIONS 3.APPROXIMATION IN INF-NORM,WITH 1.GENERAL FUNCTIONS 2.POLYNOMIALS 1.GENERAL POLYNOMIALS INI 36020 NOV/78 197 SNDREMEZ 36021 NOV/78 197 MINMAXPOL 36022 NOV/78 197 2.ORTHOGONAL POLYNOMIALS 3.TRIGONOMETRIC SERIES 4.RATIONAL FUNCTIONS 4.APPROXIMATION IN 1-NORM, WITH 1.GENERAL FUNCTIONS 2.POLYNOMIALS 2.REAL DATA IN MORE DIMENSIONS 3.REAL FUNCTIONS IN 1 DIMENSION 1.POLYNOMIALS 8.NUMBER THEORY VERSION: 791231 1 OBSOLETE PROCEDURES PROCEDURE CODE WITHDRAWAL EXPIRATION REPLACED BY DET 34050 730901 750701 DEC(3.1.1.1.1.1.1),DETERM(3.1.1.1.1.1.2) LSQDEC 34130 730901 750701 LSQORTDEC(3.1.1.2.1.1) ERF 35020 740501 750701 ERRORFUNCTION(6.7) RK1N 33011 740501 750701 RKE(5.2.1.1.1.1) LINIGER1 33130 740915 750701 LINIGER1VS(5.2.1.1.1.2) ABSMAXVEC 31060 750101 760101 INFNRMVEC(1.1.8) MAXMAT 34230 750101 760101 ABSMAXMAT(1.1.8) BESSELJ 35100 750101 750701 BESS J (6.9.1) BESSELY 35101 750101 750701 BESS Y (6.9.1) BESSELI 35102 750101 750701 BESS I (6.9.2) BESSELK 35103 750101 750701 BESS K (6.9.2) K0 35040 750101 750701 BESS K01 (6.9.2) NONEXPBESSELI 35104 750101 750701 NONEXP BESS I (6.9.2) NONEXPBESSELK 35105 750101 750701 NONEXP BESS K (6.9.2) NONEXPK0 35038 750101 750701 NONEXP BESS K01 (6.9.2) YA 35075 750101 750701 BESS YA01 (6.10.1) YAPLUSN 35076 750101 750701 BESS YAPLUSN (6.10.1) BESSELPQ 35077 750101 750701 BESS PQA01 (6.10.1) KA 35071 750101 750701 BESS KA01 (6.10.2) KAPLUSN 35072 750101 750701 BESS KAPLUSN (6.10.2) NONEXPKA 35073 750101 750701 NONEXP BESS KA01(6.10.2) NONEXPKAPLUSN 35074 750101 750701 NONEXP BESS KAPLUSN (6.10.2) SYMDEC2 34700 790701 791231 DECSYM2 (3.1.1.1.1.3.1) SYMDEC1 34701 790701 791231 DECSYM2 (3.1.1.1.1.3.1) SYMDETERM2 34702 790701 791231 DETERMSYM2 (3.1.1.1.1.3.2) SYMDETERM1 34703 790701 791231 DETERMSYM2 (3.1.1.1.1.3.2) SYMSOL2 34704 790701 791231 SOLSYM2 (3.1.1.1.1.3.3) SYMSOL1 34705 790701 791231 SOLSYM2 (3.1.1.1.1.3.3) SYMDECSOL2 34706 790701 791231 DECSOLSYM2 (3.1.1.1.1.3.3) SYMDECSOL1 34707 790701 791231 DECSOLSYM2 (3.1.1.1.1.3.3) SYMINV2 34708 790701 791231 SYMINV1 34709 790701 791231 SYMDECINV2 34710 790701 791231 SYMDECINV1 34711 790701 791231 POLZEROS 34500 790701 791231 ZERPOL (3.6.1) VERSION: 791231 1 OBSOLETE PROCEDURES PROCEDURE CODE WITHDRAWAL EXPIRATION REPLACED BY RNKSYM20 34100 730901 740401 SOLSYM20 34101 730901 731201 RNKSOLSYM20 34102 730901 731201 INVSYM20 34103 730901 740401 RNKINVSYM20 34104 730901 740401 SOLSYMHOM20 34105 730901 740401 RNKSYM10 34110 730901 740401 SOLSYM10 34111 730901 740401 RNKSOLSYM10 34112 730901 740401 INVSYM10 34113 730901 740401 RNKINVSYM10 34114 730901 740401 DETSOL 34052 730901 740401 DECSOL(3.1.1.1.1.1.3),DETERM. DETINV 34054 730901 731201 DECINV(3.1.1.1.1.1.4),DETERM. RNKELM 34060 730901 740401 GSSELM(3.1.1.1.1.1.1) RNKSOLELM 34062 730901 740401 GSSSOL(3.1.1.1.1.1.3) SOLHOM 34063 730901 740401 SINGULAR VALUE PROCEDURES (3.5) INVELM 34064 730901 740401 GSSINV(3.1.1.1.1.1.4) DETBND 34070 730901 740401 DECBND(3.1.2.1.1.1.1.1),DETERMBND(3.1.2.1.1.1.1.2) DETSOLBND 34072 730901 740401 DECSOLBND(3.1.2.1.1.1.1.3),DETERMBND. DETSYM2 34080 730901 740401 CHLDEC2(3.1.1.1.1.2.1),CHLDETERM2(3.1.1.1.1.2.2) SOLSYM2 34081 730901 740401 CHLSOL2(3.1.1.1.1.2.3) DETSOLSYM2 34082 730901 740401 CHLDECSOL2(3.1.1.1.1.2.3),CHLDETERM2. INVSYM2 34083 730901 740401 CHLINV2(3.1.1.1.1.2.4) DETINVSYM2 34084 730901 740401 CHLDECINV2(3.1.1.1.1.2.4),CHLDETERM2. DETSYM1 34090 730901 740401 CHLDEC1(3.1.1.1.1.2.1),CHLDETERM1(3.1.1.1.1.2.2) SOLSYM1 34091 730901 740401 CHLSOL1(3.1.1.1.1.2.3) DETSOLSYM1 34092 730901 740401 CHLDECSOL1(3.1.1.1.1.2.3),CHLDETERM1. INVSYM1 34093 730901 740401 CHLINV1(3.1.1.1.1.2.4) DETINVSYM1 34094 730901 740401 CHLDECINV1(3.1.1.1.1.2.4),CHLDETERM1. DETSYMBND 34120 730901 740401 CHLDECBND(3.1.2.1.1.2.1.1),CHLDETERMBND. SOLSYMBND 34121 730901 740401 CHLSOLBND(3.1.2.1.1.2.1.3) DETSOLSYMBND 34122 730901 740401 CHLDECSOLBND(3.1.2.1.1.2.1.3),CHLDETERMBND. LSQDECSOL 34133 730901 740401 LSQORTDECSOL(3.1.1.2.1.2) MODIFIED RUNGE KUTTA 33060 740501 740601 ARK(5.2.1.1.1.1) VERSION: 791231