Section 3: library functions
NAME sgeql2.f – SYNOPSIS Functions/Subroutines subroutine sgeql2 (M, N, A, LDA, TAU, WORK, INFO) SGEQL2 computes the QL factorization of a general rectangular matrix using an unblocked algorithm. Function/Subroutine Documentation subroutine sgeql2 (integerM, integerN, real, dimension( lda, * )A, integerLDA, real, dimension( * )TAU, real, dimension( * )WORK, integerINFO) SGEQL2 computes the QL factorization of…
NAME sgemv.f – SYNOPSIS Functions/Subroutines subroutine sgemv (TRANS, M, N, ALPHA, A, LDA, X, INCX, BETA, Y, INCY) SGEMV Function/Subroutine Documentation subroutine sgemv (characterTRANS, integerM, integerN, realALPHA, real, dimension(lda,*)A, integerLDA, real, dimension(*)X, integerINCX, realBETA, real, dimension(*)Y, integerINCY) SGEMV Purpose: SGEMV performs one of the matrix-vector operations y := alpha*A*x + beta*y, or y := alpha*A**T*x…
NAME sgemqrt.f – SYNOPSIS Functions/Subroutines subroutine sgemqrt (SIDE, TRANS, M, N, K, NB, V, LDV, T, LDT, C, LDC, WORK, INFO) SGEMQRT Function/Subroutine Documentation subroutine sgemqrt (characterSIDE, characterTRANS, integerM, integerN, integerK, integerNB, real, dimension( ldv, * )V, integerLDV, real, dimension( ldt, * )T, integerLDT, real, dimension( ldc, * )C, integerLDC, real, dimension( * )WORK, integerINFO)…
NAME sgemm.f – SYNOPSIS Functions/Subroutines subroutine sgemm (TRANSA, TRANSB, M, N, K, ALPHA, A, LDA, B, LDB, BETA, C, LDC) SGEMM Function/Subroutine Documentation subroutine sgemm (characterTRANSA, characterTRANSB, integerM, integerN, integerK, realALPHA, real, dimension(lda,*)A, integerLDA, real, dimension(ldb,*)B, integerLDB, realBETA, real, dimension(ldc,*)C, integerLDC) SGEMM Purpose: SGEMM performs one of the matrix-matrix operations C := alpha*op( A )*op(…
NAME sgelsy.f – SYNOPSIS Functions/Subroutines subroutine sgelsy (M, N, NRHS, A, LDA, B, LDB, JPVT, RCOND, RANK, WORK, LWORK, INFO) SGELSY solves overdetermined or underdetermined systems for GE matrices Function/Subroutine Documentation subroutine sgelsy (integerM, integerN, integerNRHS, real, dimension( lda, * )A, integerLDA, real, dimension( ldb, * )B, integerLDB, integer, dimension( * )JPVT, realRCOND, integerRANK, real,…
NAME sgelsx.f – SYNOPSIS Functions/Subroutines subroutine sgelsx (M, N, NRHS, A, LDA, B, LDB, JPVT, RCOND, RANK, WORK, INFO) SGELSX solves overdetermined or underdetermined systems for GE matrices Function/Subroutine Documentation subroutine sgelsx (integerM, integerN, integerNRHS, real, dimension( lda, * )A, integerLDA, real, dimension( ldb, * )B, integerLDB, integer, dimension( * )JPVT, realRCOND, integerRANK, real, dimension(…
NAME sgelss.f – SYNOPSIS Functions/Subroutines subroutine sgelss (M, N, NRHS, A, LDA, B, LDB, S, RCOND, RANK, WORK, LWORK, INFO) SGELSS solves overdetermined or underdetermined systems for GE matrices Function/Subroutine Documentation subroutine sgelss (integerM, integerN, integerNRHS, real, dimension( lda, * )A, integerLDA, real, dimension( ldb, * )B, integerLDB, real, dimension( * )S, realRCOND, integerRANK, real,…
NAME sgelsd.f – SYNOPSIS Functions/Subroutines subroutine sgelsd (M, N, NRHS, A, LDA, B, LDB, S, RCOND, RANK, WORK, LWORK, IWORK, INFO) SGELSD computes the minimum-norm solution to a linear least squares problem for GE matrices Function/Subroutine Documentation subroutine sgelsd (integerM, integerN, integerNRHS, real, dimension( lda, * )A, integerLDA, real, dimension( ldb, * )B, integerLDB, real,…
NAME sgels.f – SYNOPSIS Functions/Subroutines subroutine sgels (TRANS, M, N, NRHS, A, LDA, B, LDB, WORK, LWORK, INFO) SGELS solves overdetermined or underdetermined systems for GE matrices Function/Subroutine Documentation subroutine sgels (characterTRANS, integerM, integerN, integerNRHS, real, dimension( lda, * )A, integerLDA, real, dimension( ldb, * )B, integerLDB, real, dimension( * )WORK, integerLWORK, integerINFO) SGELS solves…
NAME sgelqf.f – SYNOPSIS Functions/Subroutines subroutine sgelqf (M, N, A, LDA, TAU, WORK, LWORK, INFO) SGELQF Function/Subroutine Documentation subroutine sgelqf (integerM, integerN, real, dimension( lda, * )A, integerLDA, real, dimension( * )TAU, real, dimension( * )WORK, integerLWORK, integerINFO) SGELQF Purpose: SGELQF computes an LQ factorization of a real M-by-N matrix A: A = L *…
NAME sgelq2.f – SYNOPSIS Functions/Subroutines subroutine sgelq2 (M, N, A, LDA, TAU, WORK, INFO) SGELQ2 computes the LQ factorization of a general rectangular matrix using an unblocked algorithm. Function/Subroutine Documentation subroutine sgelq2 (integerM, integerN, real, dimension( lda, * )A, integerLDA, real, dimension( * )TAU, real, dimension( * )WORK, integerINFO) SGELQ2 computes the LQ factorization of…
NAME sgejsv.f – SYNOPSIS Functions/Subroutines subroutine sgejsv (JOBA, JOBU, JOBV, JOBR, JOBT, JOBP, M, N, A, LDA, SVA, U, LDU, V, LDV, WORK, LWORK, IWORK, INFO) SGEJSV Function/Subroutine Documentation subroutine sgejsv (character*1JOBA, character*1JOBU, character*1JOBV, character*1JOBR, character*1JOBT, character*1JOBP, integerM, integerN, real, dimension( lda, * )A, integerLDA, real, dimension( n )SVA, real, dimension( ldu, * )U, integerLDU,…
NAME sgehrd.f – SYNOPSIS Functions/Subroutines subroutine sgehrd (N, ILO, IHI, A, LDA, TAU, WORK, LWORK, INFO) SGEHRD Function/Subroutine Documentation subroutine sgehrd (integerN, integerILO, integerIHI, real, dimension( lda, * )A, integerLDA, real, dimension( * )TAU, real, dimension( * )WORK, integerLWORK, integerINFO) SGEHRD Purpose: SGEHRD reduces a real general matrix A to upper Hessenberg form H by…
NAME sgehd2.f – SYNOPSIS Functions/Subroutines subroutine sgehd2 (N, ILO, IHI, A, LDA, TAU, WORK, INFO) SGEHD2 reduces a general square matrix to upper Hessenberg form using an unblocked algorithm. Function/Subroutine Documentation subroutine sgehd2 (integerN, integerILO, integerIHI, real, dimension( lda, * )A, integerLDA, real, dimension( * )TAU, real, dimension( * )WORK, integerINFO) SGEHD2 reduces a general…
NAME sgegv.f – SYNOPSIS Functions/Subroutines subroutine sgegv (JOBVL, JOBVR, N, A, LDA, B, LDB, ALPHAR, ALPHAI, BETA, VL, LDVL, VR, LDVR, WORK, LWORK, INFO) SGEEVX computes the eigenvalues and, optionally, the left and/or right eigenvectors for GE matrices Function/Subroutine Documentation subroutine sgegv (characterJOBVL, characterJOBVR, integerN, real, dimension( lda, * )A, integerLDA, real, dimension( ldb, *…
NAME sgegs.f – SYNOPSIS Functions/Subroutines subroutine sgegs (JOBVSL, JOBVSR, N, A, LDA, B, LDB, ALPHAR, ALPHAI, BETA, VSL, LDVSL, VSR, LDVSR, WORK, LWORK, INFO) SGEEVX computes the eigenvalues and, optionally, the left and/or right eigenvectors for GE matrices Function/Subroutine Documentation subroutine sgegs (characterJOBVSL, characterJOBVSR, integerN, real, dimension( lda, * )A, integerLDA, real, dimension( ldb, *…
NAME sgeevx.f – SYNOPSIS Functions/Subroutines subroutine sgeevx (BALANC, JOBVL, JOBVR, SENSE, N, A, LDA, WR, WI, VL, LDVL, VR, LDVR, ILO, IHI, SCALE, ABNRM, RCONDE, RCONDV, WORK, LWORK, IWORK, INFO) SGEEVX computes the eigenvalues and, optionally, the left and/or right eigenvectors for GE matrices Function/Subroutine Documentation subroutine sgeevx (characterBALANC, characterJOBVL, characterJOBVR, characterSENSE, integerN, real, dimension(…
NAME 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( *…
NAME 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,…
NAME 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,…