Section 3: library functions
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 matrix…
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 * L….
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 a…
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 +…
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) SGEMQRT…
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( B…
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, dimension(…
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( *…
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, dimension(…
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, dimension(…
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 overdetermined…
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 * Q….
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 a…
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, real,…
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 an…
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 square…
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, * )B,…
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, * )B,…
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( lda,…
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,…