Section 3: library functions
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( *…
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, characterJOBVL,…
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, * )B,…
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, characterJOBVSR,…
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, real,…
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: SGGBAL…
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 real…
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 or…
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 U…
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 A…
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 general…
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….