Section 3: library functions
sgetc2.f – Synopsis Functions/Subroutines subroutine sgetc2 (N, A, LDA, IPIV, JPIV, INFO) SGETC2 computes the LU factorization with complete pivoting of the general n-by-n matrix. Function/Subroutine Documentation subroutine sgetc2 (integerN, real, dimension( lda, * )A, integerLDA, integer, dimension( * )IPIV, integer, dimension( * )JPIV, integerINFO) SGETC2 computes the LU factorization with complete pivoting of the…
sgesvxx.f – Synopsis Functions/Subroutines subroutine sgesvxx (FACT, TRANS, N, NRHS, A, LDA, AF, LDAF, 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) SGESVXX computes the solution to system of linear equations A * X = B for GE matrices Function/Subroutine Documentation subroutine sgesvxx (characterFACT,…
sgesvx.f – Synopsis Functions/Subroutines subroutine sgesvx (FACT, TRANS, N, NRHS, A, LDA, AF, LDAF, IPIV, EQUED, R, C, B, LDB, X, LDX, RCOND, FERR, BERR, WORK, IWORK, INFO) SGESVX computes the solution to system of linear equations A * X = B for GE matrices Function/Subroutine Documentation subroutine sgesvx (characterFACT, characterTRANS, integerN, integerNRHS, real, dimension(…
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 Purpose:…
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, real,…
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,…
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, integerLWORK,…
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) SGESC2…
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 * Q….
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 a…
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( *…
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, dimension(…
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 element…
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) SGEQRT3…
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 QR…
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 using…
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 * R….
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 * R….
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 the…
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 a…