Section 3: library functions
NAME sgeequb.f – SYNOPSIS Functions/Subroutines subroutine sgeequb (M, N, A, LDA, R, C, ROWCND, COLCND, AMAX, INFO) SGEEQUB Function/Subroutine Documentation subroutine sgeequb (integerM, integerN, real, dimension( lda, * )A, integerLDA, real, dimension( * )R, real, dimension( * )C, realROWCND, realCOLCND, realAMAX, integerINFO) SGEEQUB Purpose: SGEEQUB computes row and column scalings intended to equilibrate an M-by-N…
NAME sgeequ.f – SYNOPSIS Functions/Subroutines subroutine sgeequ (M, N, A, LDA, R, C, ROWCND, COLCND, AMAX, INFO) SGEEQU Function/Subroutine Documentation subroutine sgeequ (integerM, integerN, real, dimension( lda, * )A, integerLDA, real, dimension( * )R, real, dimension( * )C, realROWCND, realCOLCND, realAMAX, integerINFO) SGEEQU Purpose: SGEEQU computes row and column scalings intended to equilibrate an M-by-N…
NAME sgecon.f – SYNOPSIS Functions/Subroutines subroutine sgecon (NORM, N, A, LDA, ANORM, RCOND, WORK, IWORK, INFO) SGECON Function/Subroutine Documentation subroutine sgecon (characterNORM, integerN, real, dimension( lda, * )A, integerLDA, realANORM, realRCOND, real, dimension( * )WORK, integer, dimension( * )IWORK, integerINFO) SGECON Purpose: SGECON estimates the reciprocal of the condition number of a general real matrix…
NAME sgebrd.f – SYNOPSIS Functions/Subroutines subroutine sgebrd (M, N, A, LDA, D, E, TAUQ, TAUP, WORK, LWORK, INFO) SGEBRD Function/Subroutine Documentation subroutine sgebrd (integerM, integerN, real, dimension( lda, * )A, integerLDA, real, dimension( * )D, real, dimension( * )E, real, dimension( * )TAUQ, real, dimension( * )TAUP, real, dimension( * )WORK, integerLWORK, integerINFO) SGEBRD Purpose:…
NAME sgebd2.f – SYNOPSIS Functions/Subroutines subroutine sgebd2 (M, N, A, LDA, D, E, TAUQ, TAUP, WORK, INFO) SGEBD2 reduces a general matrix to bidiagonal form using an unblocked algorithm. Function/Subroutine Documentation subroutine sgebd2 (integerM, integerN, real, dimension( lda, * )A, integerLDA, real, dimension( * )D, real, dimension( * )E, real, dimension( * )TAUQ, real, dimension(…
NAME sgebal.f – SYNOPSIS Functions/Subroutines subroutine sgebal (JOB, N, A, LDA, ILO, IHI, SCALE, INFO) SGEBAL Function/Subroutine Documentation subroutine sgebal (characterJOB, integerN, real, dimension( lda, * )A, integerLDA, integerILO, integerIHI, real, dimension( * )SCALE, integerINFO) SGEBAL Purpose: SGEBAL balances a general real matrix A. This involves, first, permuting A by a similarity transformation to isolate…
NAME sgebak.f – SYNOPSIS Functions/Subroutines subroutine sgebak (JOB, SIDE, N, ILO, IHI, SCALE, M, V, LDV, INFO) SGEBAK Function/Subroutine Documentation subroutine sgebak (characterJOB, characterSIDE, integerN, integerILO, integerIHI, real, dimension( * )SCALE, integerM, real, dimension( ldv, * )V, integerLDV, integerINFO) SGEBAK Purpose: SGEBAK forms the right or left eigenvectors of a real general matrix by backward…
NAME sgbtrs.f – SYNOPSIS Functions/Subroutines subroutine sgbtrs (TRANS, N, KL, KU, NRHS, AB, LDAB, IPIV, B, LDB, INFO) SGBTRS Function/Subroutine Documentation subroutine sgbtrs (characterTRANS, integerN, integerKL, integerKU, integerNRHS, real, dimension( ldab, * )AB, integerLDAB, integer, dimension( * )IPIV, real, dimension( ldb, * )B, integerLDB, integerINFO) SGBTRS Purpose: SGBTRS solves a system of linear equations A…
NAME sgbtrf.f – SYNOPSIS Functions/Subroutines subroutine sgbtrf (M, N, KL, KU, AB, LDAB, IPIV, INFO) SGBTRF Function/Subroutine Documentation subroutine sgbtrf (integerM, integerN, integerKL, integerKU, real, dimension( ldab, * )AB, integerLDAB, integer, dimension( * )IPIV, integerINFO) SGBTRF Purpose: SGBTRF computes an LU factorization of a real m-by-n band matrix A using partial pivoting with row interchanges….
NAME sgbtf2.f – SYNOPSIS Functions/Subroutines subroutine sgbtf2 (M, N, KL, KU, AB, LDAB, IPIV, INFO) SGBTF2 computes the LU factorization of a general band matrix using the unblocked version of the algorithm. Function/Subroutine Documentation subroutine sgbtf2 (integerM, integerN, integerKL, integerKU, real, dimension( ldab, * )AB, integerLDAB, integer, dimension( * )IPIV, integerINFO) SGBTF2 computes the LU…
sgbsvxx.f – Synopsis Functions/Subroutines subroutine sgbsvxx (FACT, TRANS, N, KL, KU, NRHS, AB, LDAB, AFB, LDAFB, IPIV, EQUED, R, C, B, LDB, X, LDX, RCOND, RPVGRW, BERR, N_ERR_BNDS, ERR_BNDS_NORM, ERR_BNDS_COMP, NPARAMS, PARAMS, WORK, IWORK, INFO) SGBSVXX computes the solution to system of linear equations A * X = B for GB matrices Function/Subroutine Documentation subroutine…
sgbsvx.f – Synopsis Functions/Subroutines subroutine sgbsvx (FACT, TRANS, N, KL, KU, NRHS, AB, LDAB, AFB, LDAFB, IPIV, EQUED, R, C, B, LDB, X, LDX, RCOND, FERR, BERR, WORK, IWORK, INFO) SGBSVX computes the solution to system of linear equations A * X = B for GB matrices Function/Subroutine Documentation subroutine sgbsvx (characterFACT, characterTRANS, integerN, integerKL,…
sgbsv.f – Synopsis Functions/Subroutines subroutine sgbsv (N, KL, KU, NRHS, AB, LDAB, IPIV, B, LDB, INFO) SGBSV computes the solution to system of linear equations A * X = B for GB matrices (simple driver) Function/Subroutine Documentation subroutine sgbsv (integerN, integerKL, integerKU, integerNRHS, real, dimension( ldab, * )AB, integerLDAB, integer, dimension( * )IPIV, real, dimension(…
NAME sgbrfsx.f – SYNOPSIS Functions/Subroutines subroutine sgbrfsx (TRANS, EQUED, N, KL, KU, NRHS, AB, LDAB, AFB, LDAFB, IPIV, R, C, B, LDB, X, LDX, RCOND, BERR, N_ERR_BNDS, ERR_BNDS_NORM, ERR_BNDS_COMP, NPARAMS, PARAMS, WORK, IWORK, INFO) SGBRFSX Function/Subroutine Documentation subroutine sgbrfsx (characterTRANS, characterEQUED, integerN, integerKL, integerKU, integerNRHS, real, dimension( ldab, * )AB, integerLDAB, real, dimension( ldafb, *…
NAME sgbrfs.f – SYNOPSIS Functions/Subroutines subroutine sgbrfs (TRANS, N, KL, KU, NRHS, AB, LDAB, AFB, LDAFB, IPIV, B, LDB, X, LDX, FERR, BERR, WORK, IWORK, INFO) SGBRFS Function/Subroutine Documentation subroutine sgbrfs (characterTRANS, integerN, integerKL, integerKU, integerNRHS, real, dimension( ldab, * )AB, integerLDAB, real, dimension( ldafb, * )AFB, integerLDAFB, integer, dimension( * )IPIV, real, dimension( ldb,…
NAME sgbmv.f – SYNOPSIS Functions/Subroutines subroutine sgbmv (TRANS, M, N, KL, KU, ALPHA, A, LDA, X, INCX, BETA, Y, INCY) SGBMV Function/Subroutine Documentation subroutine sgbmv (characterTRANS, integerM, integerN, integerKL, integerKU, realALPHA, real, dimension(lda,*)A, integerLDA, real, dimension(*)X, integerINCX, realBETA, real, dimension(*)Y, integerINCY) SGBMV Purpose: SGBMV performs one of the matrix-vector operations y := alpha*A*x + beta*y,…
NAME sgbequb.f – SYNOPSIS Functions/Subroutines subroutine sgbequb (M, N, KL, KU, AB, LDAB, R, C, ROWCND, COLCND, AMAX, INFO) SGBEQUB Function/Subroutine Documentation subroutine sgbequb (integerM, integerN, integerKL, integerKU, real, dimension( ldab, * )AB, integerLDAB, real, dimension( * )R, real, dimension( * )C, realROWCND, realCOLCND, realAMAX, integerINFO) SGBEQUB Purpose: SGBEQUB computes row and column scalings intended…
NAME sgbequ.f – SYNOPSIS Functions/Subroutines subroutine sgbequ (M, N, KL, KU, AB, LDAB, R, C, ROWCND, COLCND, AMAX, INFO) SGBEQU Function/Subroutine Documentation subroutine sgbequ (integerM, integerN, integerKL, integerKU, real, dimension( ldab, * )AB, integerLDAB, real, dimension( * )R, real, dimension( * )C, realROWCND, realCOLCND, realAMAX, integerINFO) SGBEQU Purpose: SGBEQU computes row and column scalings intended…
NAME sgbcon.f – SYNOPSIS Functions/Subroutines subroutine sgbcon (NORM, N, KL, KU, AB, LDAB, IPIV, ANORM, RCOND, WORK, IWORK, INFO) SGBCON Function/Subroutine Documentation subroutine sgbcon (characterNORM, integerN, integerKL, integerKU, real, dimension( ldab, * )AB, integerLDAB, integer, dimension( * )IPIV, realANORM, realRCOND, real, dimension( * )WORK, integer, dimension( * )IWORK, integerINFO) SGBCON Purpose: SGBCON estimates the reciprocal…
NAME sgbbrd.f – SYNOPSIS Functions/Subroutines subroutine sgbbrd (VECT, M, N, NCC, KL, KU, AB, LDAB, D, E, Q, LDQ, PT, LDPT, C, LDC, WORK, INFO) SGBBRD Function/Subroutine Documentation subroutine sgbbrd (characterVECT, integerM, integerN, integerNCC, integerKL, integerKU, real, dimension( ldab, * )AB, integerLDAB, real, dimension( * )D, real, dimension( * )E, real, dimension( ldq, * )Q,…