Section 3: library functions
NAME sgesvj.f – SYNOPSIS Functions/Subroutines subroutine sgesvj (JOBA, JOBU, JOBV, M, N, A, LDA, SVA, MV, V, LDV, WORK, LWORK, INFO) SGESVJ Function/Subroutine Documentation subroutine sgesvj (character*1JOBA, character*1JOBU, character*1JOBV, integerM, integerN, real, dimension( lda, * )A, integerLDA, real, dimension( n )SVA, integerMV, real, dimension( ldv, * )V, integerLDV, real, dimension( lwork )WORK, integerLWORK, integerINFO) SGESVJ…
NAME sgesvd.f – SYNOPSIS Functions/Subroutines subroutine sgesvd (JOBU, JOBVT, M, N, A, LDA, S, U, LDU, VT, LDVT, WORK, LWORK, INFO) SGESVD computes the singular value decomposition (SVD) for GE matrices Function/Subroutine Documentation subroutine sgesvd (characterJOBU, characterJOBVT, integerM, integerN, real, dimension( lda, * )A, integerLDA, real, dimension( * )S, real, dimension( ldu, * )U, integerLDU,…
sgesv.f – Synopsis Functions/Subroutines subroutine sgesv (N, NRHS, A, LDA, IPIV, B, LDB, INFO) SGESV computes the solution to system of linear equations A * X = B for GE matrices (simple driver) Function/Subroutine Documentation subroutine sgesv (integerN, integerNRHS, real, dimension( lda, * )A, integerLDA, integer, dimension( * )IPIV, real, dimension( ldb, * )B, integerLDB,…
NAME sgesdd.f – SYNOPSIS Functions/Subroutines subroutine sgesdd (JOBZ, M, N, A, LDA, S, U, LDU, VT, LDVT, WORK, LWORK, IWORK, INFO) SGESDD Function/Subroutine Documentation subroutine sgesdd (characterJOBZ, integerM, integerN, real, dimension( lda, * )A, integerLDA, real, dimension( * )S, real, dimension( ldu, * )U, integerLDU, real, dimension( ldvt, * )VT, integerLDVT, real, dimension( * )WORK,…
NAME sgesc2.f – SYNOPSIS Functions/Subroutines subroutine sgesc2 (N, A, LDA, RHS, IPIV, JPIV, SCALE) SGESC2 solves a system of linear equations using the LU factorization with complete pivoting computed by sgetc2. Function/Subroutine Documentation subroutine sgesc2 (integerN, real, dimension( lda, * )A, integerLDA, real, dimension( * )RHS, integer, dimension( * )IPIV, integer, dimension( * )JPIV, realSCALE)…
NAME sgerqf.f – SYNOPSIS Functions/Subroutines subroutine sgerqf (M, N, A, LDA, TAU, WORK, LWORK, INFO) SGERQF Function/Subroutine Documentation subroutine sgerqf (integerM, integerN, real, dimension( lda, * )A, integerLDA, real, dimension( * )TAU, real, dimension( * )WORK, integerLWORK, integerINFO) SGERQF Purpose: SGERQF computes an RQ factorization of a real M-by-N matrix A: A = R *…
NAME sgerq2.f – SYNOPSIS Functions/Subroutines subroutine sgerq2 (M, N, A, LDA, TAU, WORK, INFO) SGERQ2 computes the RQ factorization of a general rectangular matrix using an unblocked algorithm. Function/Subroutine Documentation subroutine sgerq2 (integerM, integerN, real, dimension( lda, * )A, integerLDA, real, dimension( * )TAU, real, dimension( * )WORK, integerINFO) SGERQ2 computes the RQ factorization of…
NAME sgerfsx.f – SYNOPSIS Functions/Subroutines subroutine sgerfsx (TRANS, EQUED, N, NRHS, A, LDA, AF, LDAF, IPIV, R, C, B, LDB, X, LDX, RCOND, BERR, N_ERR_BNDS, ERR_BNDS_NORM, ERR_BNDS_COMP, NPARAMS, PARAMS, WORK, IWORK, INFO) SGERFSX Function/Subroutine Documentation subroutine sgerfsx (characterTRANS, characterEQUED, integerN, integerNRHS, real, dimension( lda, * )A, integerLDA, real, dimension( ldaf, * )AF, integerLDAF, integer, dimension(…
NAME sgerfs.f – SYNOPSIS Functions/Subroutines subroutine sgerfs (TRANS, N, NRHS, A, LDA, AF, LDAF, IPIV, B, LDB, X, LDX, FERR, BERR, WORK, IWORK, INFO) SGERFS Function/Subroutine Documentation subroutine sgerfs (characterTRANS, integerN, integerNRHS, real, dimension( lda, * )A, integerLDA, real, dimension( ldaf, * )AF, integerLDAF, integer, dimension( * )IPIV, real, dimension( ldb, * )B, integerLDB, real,…
NAME sger.f – SYNOPSIS Functions/Subroutines subroutine sger (M, N, ALPHA, X, INCX, Y, INCY, A, LDA) SGER Function/Subroutine Documentation subroutine sger (integerM, integerN, realALPHA, real, dimension(*)X, integerINCX, real, dimension(*)Y, integerINCY, real, dimension(lda,*)A, integerLDA) SGER Purpose: SGER performs the rank 1 operation A := alpha*x*y**T + A, where alpha is a scalar, x is an m…
NAME sgeqrt3.f – SYNOPSIS Functions/Subroutines recursive subroutine sgeqrt3 (M, N, A, LDA, T, LDT, INFO) SGEQRT3 recursively computes a QR factorization of a general real or complex matrix using the compact WY representation of Q. Function/Subroutine Documentation recursive subroutine sgeqrt3 (integerM, integerN, real, dimension( lda, * )A, integerLDA, real, dimension( ldt, * )T, integerLDT, integerINFO)…
NAME sgeqrt2.f – SYNOPSIS Functions/Subroutines subroutine sgeqrt2 (M, N, A, LDA, T, LDT, INFO) SGEQRT2 computes a QR factorization of a general real or complex matrix using the compact WY representation of Q. Function/Subroutine Documentation subroutine sgeqrt2 (integerM, integerN, real, dimension( lda, * )A, integerLDA, real, dimension( ldt, * )T, integerLDT, integerINFO) SGEQRT2 computes a…
NAME sgeqrt.f – SYNOPSIS Functions/Subroutines subroutine sgeqrt (M, N, NB, A, LDA, T, LDT, WORK, INFO) SGEQRT Function/Subroutine Documentation subroutine sgeqrt (integerM, integerN, integerNB, real, dimension( lda, * )A, integerLDA, real, dimension( ldt, * )T, integerLDT, real, dimension( * )WORK, integerINFO) SGEQRT Purpose: SGEQRT computes a blocked QR factorization of a real M-by-N matrix A…
NAME sgeqrfp.f – SYNOPSIS Functions/Subroutines subroutine sgeqrfp (M, N, A, LDA, TAU, WORK, LWORK, INFO) SGEQRFP Function/Subroutine Documentation subroutine sgeqrfp (integerM, integerN, real, dimension( lda, * )A, integerLDA, real, dimension( * )TAU, real, dimension( * )WORK, integerLWORK, integerINFO) SGEQRFP Purpose: SGEQRFP computes a QR factorization of a real M-by-N matrix A: A = Q *…
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 *…