Section 3: library functions
sgeev.f – Synopsis Functions/Subroutines subroutine sgeev (JOBVL, JOBVR, N, A, LDA, WR, WI, VL, LDVL, VR, LDVR, WORK, LWORK, INFO) SGEEV computes the eigenvalues and, optionally, the left and/or right eigenvectors for GE matrices Function/Subroutine Documentation subroutine sgeev (characterJOBVL, characterJOBVR, integerN, real, dimension( lda, * )A, integerLDA, real, dimension( * )WR, real, dimension( * )WI,…
sgeesx.f – Synopsis Functions/Subroutines subroutine sgeesx (JOBVS, SORT, SELECT, SENSE, N, A, LDA, SDIM, WR, WI, VS, LDVS, RCONDE, RCONDV, WORK, LWORK, IWORK, LIWORK, BWORK, INFO) SGEESX computes the eigenvalues, the Schur form, and, optionally, the matrix of Schur vectors for GE matrices Function/Subroutine Documentation subroutine sgeesx (characterJOBVS, characterSORT, logical, externalSELECT, characterSENSE, integerN, real, dimension(…
sgees.f – Synopsis Functions/Subroutines subroutine sgees (JOBVS, SORT, SELECT, N, A, LDA, SDIM, WR, WI, VS, LDVS, WORK, LWORK, BWORK, INFO) SGEES computes the eigenvalues, the Schur form, and, optionally, the matrix of Schur vectors for GE matrices Function/Subroutine Documentation subroutine sgees (characterJOBVS, characterSORT, logical, externalSELECT, integerN, real, dimension( lda, * )A, integerLDA, integerSDIM, real,…
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 matrix…
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 matrix…
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 A,…
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: SGEBRD…
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( *…
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 eigenvalues…
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 transformation…
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 *…
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. This…
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 factorization…
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(…
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, * )AFB,…
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, *…
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, or…
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 to…