Section 3: library functions
sgttrf.f – Synopsis Functions/Subroutines subroutine sgttrf (N, DL, D, DU, DU2, IPIV, INFO) SGTTRF Function/Subroutine Documentation subroutine sgttrf (integerN, real, dimension( * )DL, real, dimension( * )D, real, dimension( * )DU, real, dimension( * )DU2, integer, dimension( * )IPIV, integerINFO) SGTTRF Purpose: SGTTRF computes an LU factorization of a real tridiagonal matrix A using elimination…
sgtsvx.f – Synopsis Functions/Subroutines subroutine sgtsvx (FACT, TRANS, N, NRHS, DL, D, DU, DLF, DF, DUF, DU2, IPIV, B, LDB, X, LDX, RCOND, FERR, BERR, WORK, IWORK, INFO) SGTSVX computes the solution to system of linear equations A * X = B for GT matrices Function/Subroutine Documentation subroutine sgtsvx (characterFACT, characterTRANS, integerN, integerNRHS, real, dimension(…
sgtsv.f – Synopsis Functions/Subroutines subroutine sgtsv (N, NRHS, DL, D, DU, B, LDB, INFO) SGTSV computes the solution to system of linear equations A * X = B for GT matrices Function/Subroutine Documentation subroutine sgtsv (integerN, integerNRHS, real, dimension( * )DL, real, dimension( * )D, real, dimension( * )DU, real, dimension( ldb, * )B, integerLDB,…
sgtrfs.f – Synopsis Functions/Subroutines subroutine sgtrfs (TRANS, N, NRHS, DL, D, DU, DLF, DF, DUF, DU2, IPIV, B, LDB, X, LDX, FERR, BERR, WORK, IWORK, INFO) SGTRFS Function/Subroutine Documentation subroutine sgtrfs (characterTRANS, integerN, integerNRHS, real, dimension( * )DL, real, dimension( * )D, real, dimension( * )DU, real, dimension( * )DLF, real, dimension( * )DF, real,…
sgtcon.f – Synopsis Functions/Subroutines subroutine sgtcon (NORM, N, DL, D, DU, DU2, IPIV, ANORM, RCOND, WORK, IWORK, INFO) SGTCON Function/Subroutine Documentation subroutine sgtcon (characterNORM, integerN, real, dimension( * )DL, real, dimension( * )D, real, dimension( * )DU, real, dimension( * )DU2, integer, dimension( * )IPIV, realANORM, realRCOND, real, dimension( * )WORK, integer, dimension( * )IWORK,…
sgsvj1.f – Synopsis Functions/Subroutines subroutine sgsvj1 (JOBV, M, N, N1, A, LDA, D, SVA, MV, V, LDV, EPS, SFMIN, TOL, NSWEEP, WORK, LWORK, INFO) SGSVJ1 pre-processor for the routine sgesvj, applies Jacobi rotations targeting only particular pivots. Function/Subroutine Documentation subroutine sgsvj1 (character*1JOBV, integerM, integerN, integerN1, real, dimension( lda, * )A, integerLDA, real, dimension( n )D,…
sgsvj0.f – Synopsis Functions/Subroutines subroutine sgsvj0 (JOBV, M, N, A, LDA, D, SVA, MV, V, LDV, EPS, SFMIN, TOL, NSWEEP, WORK, LWORK, INFO) SGSVJ0 pre-processor for the routine sgesvj. Function/Subroutine Documentation subroutine sgsvj0 (character*1JOBV, integerM, integerN, real, dimension( lda, * )A, integerLDA, real, dimension( n )D, real, dimension( n )SVA, integerMV, real, dimension( ldv, *…
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, realTOLB,…
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, *…
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: SGGRQF…
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: SGGQRF…
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( * )D,…
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( * )D,…
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, integerINFO)…
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,…
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…