NAME sgeqrf.f – SYNOPSIS Functions/Subroutines subroutine sgeqrf (M, N, A, LDA, TAU, WORK, LWORK, INFO) SGEQRF Function/Subroutine Documentation subroutine sgeqrf (integerM, integerN, real, dimension( lda, * )A, integerLDA, real, dimension( * )TAU, real, dimension( * )WORK, integerLWORK, integerINFO) SGEQRF Purpose: SGEQRF computes a QR factorization of a real M-by-N matrix A: A = Q *…
NAME sgeqr2p.f – SYNOPSIS Functions/Subroutines subroutine sgeqr2p (M, N, A, LDA, TAU, WORK, INFO) SGEQR2P computes the QR factorization of a general rectangular matrix with non-negative diagonal elements using an unblocked algorithm. Function/Subroutine Documentation subroutine sgeqr2p (integerM, integerN, real, dimension( lda, * )A, integerLDA, real, dimension( * )TAU, real, dimension( * )WORK, integerINFO) SGEQR2P computes…
NAME sgeqr2.f – SYNOPSIS Functions/Subroutines subroutine sgeqr2 (M, N, A, LDA, TAU, WORK, INFO) SGEQR2 computes the QR factorization of a general rectangular matrix using an unblocked algorithm. Function/Subroutine Documentation subroutine sgeqr2 (integerM, integerN, real, dimension( lda, * )A, integerLDA, real, dimension( * )TAU, real, dimension( * )WORK, integerINFO) SGEQR2 computes the QR factorization of…
NAME sgeqpf.f – SYNOPSIS Functions/Subroutines subroutine sgeqpf (M, N, A, LDA, JPVT, TAU, WORK, INFO) SGEQPF Function/Subroutine Documentation subroutine sgeqpf (integerM, integerN, real, dimension( lda, * )A, integerLDA, integer, dimension( * )JPVT, real, dimension( * )TAU, real, dimension( * )WORK, integerINFO) SGEQPF Purpose: This routine is deprecated and has been replaced by routine SGEQP3. SGEQPF…
NAME sgeqp3.f – SYNOPSIS Functions/Subroutines subroutine sgeqp3 (M, N, A, LDA, JPVT, TAU, WORK, LWORK, INFO) SGEQP3 Function/Subroutine Documentation subroutine sgeqp3 (integerM, integerN, real, dimension( lda, * )A, integerLDA, integer, dimension( * )JPVT, real, dimension( * )TAU, real, dimension( * )WORK, integerLWORK, integerINFO) SGEQP3 Purpose: SGEQP3 computes a QR factorization with column pivoting of a…
NAME sgeqlf.f – SYNOPSIS Functions/Subroutines subroutine sgeqlf (M, N, A, LDA, TAU, WORK, LWORK, INFO) SGEQLF Function/Subroutine Documentation subroutine sgeqlf (integerM, integerN, real, dimension( lda, * )A, integerLDA, real, dimension( * )TAU, real, dimension( * )WORK, integerLWORK, integerINFO) SGEQLF Purpose: SGEQLF computes a QL factorization of a real M-by-N matrix A: A = Q *…
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…