Section 3: library functions
NAME sggsvp.f – SYNOPSIS Functions/Subroutines subroutine sggsvp (JOBU, JOBV, JOBQ, M, P, N, A, LDA, B, LDB, TOLA, TOLB, K, L, U, LDU, V, LDV, Q, LDQ, IWORK, TAU, WORK, INFO) SGGSVP Function/Subroutine Documentation subroutine sggsvp (characterJOBU, characterJOBV, characterJOBQ, integerM, integerP, integerN, real, dimension( lda, * )A, integerLDA, real, dimension( ldb, * )B, integerLDB, realTOLA,…
NAME sggsvd.f – SYNOPSIS Functions/Subroutines subroutine sggsvd (JOBU, JOBV, JOBQ, M, N, P, K, L, A, LDA, B, LDB, ALPHA, BETA, U, LDU, V, LDV, Q, LDQ, WORK, IWORK, INFO) SGGSVD computes the singular value decomposition (SVD) for OTHER matrices Function/Subroutine Documentation subroutine sggsvd (characterJOBU, characterJOBV, characterJOBQ, integerM, integerN, integerP, integerK, integerL, real, dimension( lda,…
NAME sggrqf.f – SYNOPSIS Functions/Subroutines subroutine sggrqf (M, P, N, A, LDA, TAUA, B, LDB, TAUB, WORK, LWORK, INFO) SGGRQF Function/Subroutine Documentation subroutine sggrqf (integerM, integerP, integerN, real, dimension( lda, * )A, integerLDA, real, dimension( * )TAUA, real, dimension( ldb, * )B, integerLDB, real, dimension( * )TAUB, real, dimension( * )WORK, integerLWORK, integerINFO) SGGRQF Purpose:…
NAME sggqrf.f – SYNOPSIS Functions/Subroutines subroutine sggqrf (N, M, P, A, LDA, TAUA, B, LDB, TAUB, WORK, LWORK, INFO) SGGQRF Function/Subroutine Documentation subroutine sggqrf (integerN, integerM, integerP, real, dimension( lda, * )A, integerLDA, real, dimension( * )TAUA, real, dimension( ldb, * )B, integerLDB, real, dimension( * )TAUB, real, dimension( * )WORK, integerLWORK, integerINFO) SGGQRF Purpose:…
NAME sgglse.f – SYNOPSIS Functions/Subroutines subroutine sgglse (M, N, P, A, LDA, B, LDB, C, D, X, WORK, LWORK, INFO) SGGLSE solves overdetermined or underdetermined systems for OTHER matrices Function/Subroutine Documentation subroutine sgglse (integerM, integerN, integerP, real, dimension( lda, * )A, integerLDA, real, dimension( ldb, * )B, integerLDB, real, dimension( * )C, real, dimension( *…
NAME sgghrd.f – SYNOPSIS Functions/Subroutines subroutine sgghrd (COMPQ, COMPZ, N, ILO, IHI, A, LDA, B, LDB, Q, LDQ, Z, LDZ, INFO) SGGHRD Function/Subroutine Documentation subroutine sgghrd (characterCOMPQ, characterCOMPZ, integerN, integerILO, integerIHI, real, dimension( lda, * )A, integerLDA, real, dimension( ldb, * )B, integerLDB, real, dimension( ldq, * )Q, integerLDQ, real, dimension( ldz, * )Z, integerLDZ,…
NAME sggglm.f – SYNOPSIS Functions/Subroutines subroutine sggglm (N, M, P, A, LDA, B, LDB, D, X, Y, WORK, LWORK, INFO) SGGEVX computes the eigenvalues and, optionally, the left and/or right eigenvectors for GE matrices Function/Subroutine Documentation subroutine sggglm (integerN, integerM, integerP, real, dimension( lda, * )A, integerLDA, real, dimension( ldb, * )B, integerLDB, real, dimension(…
NAME sggevx.f – SYNOPSIS Functions/Subroutines subroutine sggevx (BALANC, JOBVL, JOBVR, SENSE, N, A, LDA, B, LDB, ALPHAR, ALPHAI, BETA, VL, LDVL, VR, LDVR, ILO, IHI, LSCALE, RSCALE, ABNRM, BBNRM, RCONDE, RCONDV, WORK, LWORK, IWORK, BWORK, INFO) SGGEVX computes the eigenvalues and, optionally, the left and/or right eigenvectors for GE matrices Function/Subroutine Documentation subroutine sggevx (characterBALANC,…
NAME sggev.f – SYNOPSIS Functions/Subroutines subroutine sggev (JOBVL, JOBVR, N, A, LDA, B, LDB, ALPHAR, ALPHAI, BETA, VL, LDVL, VR, LDVR, WORK, LWORK, INFO) SGGEV computes the eigenvalues and, optionally, the left and/or right eigenvectors for GE matrices Function/Subroutine Documentation subroutine sggev (characterJOBVL, characterJOBVR, integerN, real, dimension( lda, * )A, integerLDA, real, dimension( ldb, *…
NAME sggesx.f – SYNOPSIS Functions/Subroutines subroutine sggesx (JOBVSL, JOBVSR, SORT, SELCTG, SENSE, N, A, LDA, B, LDB, SDIM, ALPHAR, ALPHAI, BETA, VSL, LDVSL, VSR, LDVSR, RCONDE, RCONDV, WORK, LWORK, IWORK, LIWORK, BWORK, INFO) SGGESX computes the eigenvalues, the Schur form, and, optionally, the matrix of Schur vectors for GE matrices Function/Subroutine Documentation subroutine sggesx (characterJOBVSL,…
NAME sgges.f – SYNOPSIS Functions/Subroutines subroutine sgges (JOBVSL, JOBVSR, SORT, SELCTG, N, A, LDA, B, LDB, SDIM, ALPHAR, ALPHAI, BETA, VSL, LDVSL, VSR, LDVSR, WORK, LWORK, BWORK, INFO) SGGES computes the eigenvalues, the Schur form, and, optionally, the matrix of Schur vectors for GE matrices Function/Subroutine Documentation subroutine sgges (characterJOBVSL, characterJOBVSR, characterSORT, logical, externalSELCTG, integerN,…
NAME sggbal.f – SYNOPSIS Functions/Subroutines subroutine sggbal (JOB, N, A, LDA, B, LDB, ILO, IHI, LSCALE, RSCALE, WORK, INFO) SGGBAL Function/Subroutine Documentation subroutine sggbal (characterJOB, integerN, real, dimension( lda, * )A, integerLDA, real, dimension( ldb, * )B, integerLDB, integerILO, integerIHI, real, dimension( * )LSCALE, real, dimension( * )RSCALE, real, dimension( * )WORK, integerINFO) SGGBAL Purpose:…
NAME sggbak.f – SYNOPSIS Functions/Subroutines subroutine sggbak (JOB, SIDE, N, ILO, IHI, LSCALE, RSCALE, M, V, LDV, INFO) SGGBAK Function/Subroutine Documentation subroutine sggbak (characterJOB, characterSIDE, integerN, integerILO, integerIHI, real, dimension( * )LSCALE, real, dimension( * )RSCALE, integerM, real, dimension( ldv, * )V, integerLDV, integerINFO) SGGBAK Purpose: SGGBAK forms the right or left eigenvectors of a…
NAME sgetrs.f – SYNOPSIS Functions/Subroutines subroutine sgetrs (TRANS, N, NRHS, A, LDA, IPIV, B, LDB, INFO) SGETRS Function/Subroutine Documentation subroutine sgetrs (characterTRANS, integerN, integerNRHS, real, dimension( lda, * )A, integerLDA, integer, dimension( * )IPIV, real, dimension( ldb, * )B, integerLDB, integerINFO) SGETRS Purpose: SGETRS solves a system of linear equations A * X = B…
NAME sgetri.f – SYNOPSIS Functions/Subroutines subroutine sgetri (N, A, LDA, IPIV, WORK, LWORK, INFO) SGETRI Function/Subroutine Documentation subroutine sgetri (integerN, real, dimension( lda, * )A, integerLDA, integer, dimension( * )IPIV, real, dimension( * )WORK, integerLWORK, integerINFO) SGETRI Purpose: SGETRI computes the inverse of a matrix using the LU factorization computed by SGETRF. This method inverts…
NAME sgetrf.f – SYNOPSIS Functions/Subroutines subroutine sgetrf (M, N, A, LDA, IPIV, INFO) SGETRF Function/Subroutine Documentation subroutine sgetrf (integerM, integerN, real, dimension( lda, * )A, integerLDA, integer, dimension( * )IPIV, integerINFO) SGETRF Purpose: SGETRF computes an LU factorization of a general M-by-N matrix A using partial pivoting with row interchanges. The factorization has the form…
NAME sgetf2.f – SYNOPSIS Functions/Subroutines subroutine sgetf2 (M, N, A, LDA, IPIV, INFO) SGETF2 computes the LU factorization of a general m-by-n matrix using partial pivoting with row interchanges (unblocked algorithm). Function/Subroutine Documentation subroutine sgetf2 (integerM, integerN, real, dimension( lda, * )A, integerLDA, integer, dimension( * )IPIV, integerINFO) SGETF2 computes the LU factorization of a…
NAME 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…
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(…