Section 3: library functions
ssygvx.f – Synopsis Functions/Subroutines subroutine ssygvx (ITYPE, JOBZ, RANGE, UPLO, N, A, LDA, B, LDB, VL, VU, IL, IU, ABSTOL, M, W, Z, LDZ, WORK, LWORK, IWORK, IFAIL, INFO) SSYGST Function/Subroutine Documentation subroutine ssygvx (integerITYPE, characterJOBZ, characterRANGE, characterUPLO, integerN, real, dimension( lda, * )A, integerLDA, real, dimension( ldb, * )B, integerLDB, realVL, realVU, integerIL, integerIU,…
ssygvd.f – Synopsis Functions/Subroutines subroutine ssygvd (ITYPE, JOBZ, UPLO, N, A, LDA, B, LDB, W, WORK, LWORK, IWORK, LIWORK, INFO) SSYGST Function/Subroutine Documentation subroutine ssygvd (integerITYPE, characterJOBZ, characterUPLO, integerN, real, dimension( lda, * )A, integerLDA, real, dimension( ldb, * )B, integerLDB, real, dimension( * )W, real, dimension( * )WORK, integerLWORK, integer, dimension( * )IWORK, integerLIWORK,…
ssygv.f – Synopsis Functions/Subroutines subroutine ssygv (ITYPE, JOBZ, UPLO, N, A, LDA, B, LDB, W, WORK, LWORK, INFO) SSYGST Function/Subroutine Documentation subroutine ssygv (integerITYPE, characterJOBZ, characterUPLO, integerN, real, dimension( lda, * )A, integerLDA, real, dimension( ldb, * )B, integerLDB, real, dimension( * )W, real, dimension( * )WORK, integerLWORK, integerINFO) SSYGST Purpose: SSYGV computes all the…
ssygst.f – Synopsis Functions/Subroutines subroutine ssygst (ITYPE, UPLO, N, A, LDA, B, LDB, INFO) SSYGST Function/Subroutine Documentation subroutine ssygst (integerITYPE, characterUPLO, integerN, real, dimension( lda, * )A, integerLDA, real, dimension( ldb, * )B, integerLDB, integerINFO) SSYGST Purpose: SSYGST reduces a real symmetric-definite generalized eigenproblem to standard form. If ITYPE = 1, the problem is A*x…
ssygs2.f – Synopsis Functions/Subroutines subroutine ssygs2 (ITYPE, UPLO, N, A, LDA, B, LDB, INFO) SSYGS2 reduces a symmetric definite generalized eigenproblem to standard form, using the factorization results obtained from spotrf (unblocked algorithm). Function/Subroutine Documentation subroutine ssygs2 (integerITYPE, characterUPLO, integerN, real, dimension( lda, * )A, integerLDA, real, dimension( ldb, * )B, integerLDB, integerINFO) SSYGS2 reduces…
ssyevx.f – Synopsis Functions/Subroutines subroutine ssyevx (JOBZ, RANGE, UPLO, N, A, LDA, VL, VU, IL, IU, ABSTOL, M, W, Z, LDZ, WORK, LWORK, IWORK, IFAIL, INFO) SSYEVX computes the eigenvalues and, optionally, the left and/or right eigenvectors for SY matrices Function/Subroutine Documentation subroutine ssyevx (characterJOBZ, characterRANGE, characterUPLO, integerN, real, dimension( lda, * )A, integerLDA, realVL,…
ssyevr.f – Synopsis Functions/Subroutines subroutine ssyevr (JOBZ, RANGE, UPLO, N, A, LDA, VL, VU, IL, IU, ABSTOL, M, W, Z, LDZ, ISUPPZ, WORK, LWORK, IWORK, LIWORK, INFO) SSYEVR computes the eigenvalues and, optionally, the left and/or right eigenvectors for SY matrices Function/Subroutine Documentation subroutine ssyevr (characterJOBZ, characterRANGE, characterUPLO, integerN, real, dimension( lda, * )A, integerLDA,…
ssyevd.f – Synopsis Functions/Subroutines subroutine ssyevd (JOBZ, UPLO, N, A, LDA, W, WORK, LWORK, IWORK, LIWORK, INFO) SSYEVD computes the eigenvalues and, optionally, the left and/or right eigenvectors for SY matrices Function/Subroutine Documentation subroutine ssyevd (characterJOBZ, characterUPLO, integerN, real, dimension( lda, * )A, integerLDA, real, dimension( * )W, real, dimension( * )WORK, integerLWORK, integer, dimension(…
ssyev.f – Synopsis Functions/Subroutines subroutine ssyev (JOBZ, UPLO, N, A, LDA, W, WORK, LWORK, INFO) SSYEV computes the eigenvalues and, optionally, the left and/or right eigenvectors for SY matrices Function/Subroutine Documentation subroutine ssyev (characterJOBZ, characterUPLO, integerN, real, dimension( lda, * )A, integerLDA, real, dimension( * )W, real, dimension( * )WORK, integerLWORK, integerINFO) SSYEV computes the…
ssyequb.f – Synopsis Functions/Subroutines subroutine ssyequb (UPLO, N, A, LDA, S, SCOND, AMAX, WORK, INFO) SSYEQUB Function/Subroutine Documentation subroutine ssyequb (characterUPLO, integerN, real, dimension( lda, * )A, integerLDA, real, dimension( * )S, realSCOND, realAMAX, real, dimension( * )WORK, integerINFO) SSYEQUB Purpose: SSYEQUB computes row and column scalings intended to equilibrate a symmetric matrix A and…
ssyconv.f – Synopsis Functions/Subroutines subroutine ssyconv (UPLO, WAY, N, A, LDA, IPIV, WORK, INFO) SSYCONV Function/Subroutine Documentation subroutine ssyconv (characterUPLO, characterWAY, integerN, real, dimension( lda, * )A, integerLDA, integer, dimension( * )IPIV, real, dimension( * )WORK, integerINFO) SSYCONV Purpose: SSYCONV convert A given by TRF into L and D and vice-versa. Get Non-diag elements of…
ssycon_rook.f – Synopsis Functions/Subroutines subroutine ssycon_rook (UPLO, N, A, LDA, IPIV, ANORM, RCOND, WORK, IWORK, INFO) SSYCON_ROOK Function/Subroutine Documentation subroutine ssycon_rook (characterUPLO, integerN, real, dimension( lda, * )A, integerLDA, integer, dimension( * )IPIV, realANORM, realRCOND, real, dimension( * )WORK, integer, dimension( * )IWORK, integerINFO) SSYCON_ROOK Purpose: SSYCON_ROOK estimates the reciprocal of the condition number (in…
ssycon.f – Synopsis Functions/Subroutines subroutine ssycon (UPLO, N, A, LDA, IPIV, ANORM, RCOND, WORK, IWORK, INFO) SSYCON Function/Subroutine Documentation subroutine ssycon (characterUPLO, integerN, real, dimension( lda, * )A, integerLDA, integer, dimension( * )IPIV, realANORM, realRCOND, real, dimension( * )WORK, integer, dimension( * )IWORK, integerINFO) SSYCON Purpose: SSYCON estimates the reciprocal of the condition number (in…
sswap.f – Synopsis Functions/Subroutines subroutine sswap (N, SX, INCX, SY, INCY) SSWAP Function/Subroutine Documentation subroutine sswap (integerN, real, dimension(*)SX, integerINCX, real, dimension(*)SY, integerINCY) SSWAP Purpose: interchanges two vectors. uses unrolled loops for increments equal to 1. Author: Univ. of Tennessee Univ. of California Berkeley Univ. of Colorado Denver NAG Ltd. Date: November 2011 Further…
sstevx.f – Synopsis Functions/Subroutines subroutine sstevx (JOBZ, RANGE, N, D, E, VL, VU, IL, IU, ABSTOL, M, W, Z, LDZ, WORK, IWORK, IFAIL, INFO) SSTEVX computes the eigenvalues and, optionally, the left and/or right eigenvectors for OTHER matrices Function/Subroutine Documentation subroutine sstevx (characterJOBZ, characterRANGE, integerN, real, dimension( * )D, real, dimension( * )E, realVL, realVU,…
sstevr.f – Synopsis Functions/Subroutines subroutine sstevr (JOBZ, RANGE, N, D, E, VL, VU, IL, IU, ABSTOL, M, W, Z, LDZ, ISUPPZ, WORK, LWORK, IWORK, LIWORK, INFO) SSTEVR computes the eigenvalues and, optionally, the left and/or right eigenvectors for OTHER matrices Function/Subroutine Documentation subroutine sstevr (characterJOBZ, characterRANGE, integerN, real, dimension( * )D, real, dimension( * )E,…
sstevd.f – Synopsis Functions/Subroutines subroutine sstevd (JOBZ, N, D, E, Z, LDZ, WORK, LWORK, IWORK, LIWORK, INFO) SSTEVD computes the eigenvalues and, optionally, the left and/or right eigenvectors for OTHER matrices Function/Subroutine Documentation subroutine sstevd (characterJOBZ, integerN, real, dimension( * )D, real, dimension( * )E, real, dimension( ldz, * )Z, integerLDZ, real, dimension( * )WORK,…
sstev.f – Synopsis Functions/Subroutines subroutine sstev (JOBZ, N, D, E, Z, LDZ, WORK, INFO) SSTEV computes the eigenvalues and, optionally, the left and/or right eigenvectors for OTHER matrices Function/Subroutine Documentation subroutine sstev (characterJOBZ, integerN, real, dimension( * )D, real, dimension( * )E, real, dimension( ldz, * )Z, integerLDZ, real, dimension( * )WORK, integerINFO) SSTEV computes…
ssterf.f – Synopsis Functions/Subroutines subroutine ssterf (N, D, E, INFO) SSTERF Function/Subroutine Documentation subroutine ssterf (integerN, real, dimension( * )D, real, dimension( * )E, integerINFO) SSTERF Purpose: SSTERF computes all eigenvalues of a symmetric tridiagonal matrix using the Pal-Walker-Kahan variant of the QL or QR algorithm. Parameters: N N is INTEGER The order of…
ssteqr.f – Synopsis Functions/Subroutines subroutine ssteqr (COMPZ, N, D, E, Z, LDZ, WORK, INFO) SSTEQR Function/Subroutine Documentation subroutine ssteqr (characterCOMPZ, integerN, real, dimension( * )D, real, dimension( * )E, real, dimension( ldz, * )Z, integerLDZ, real, dimension( * )WORK, integerINFO) SSTEQR Purpose: SSTEQR computes all eigenvalues and, optionally, eigenvectors of a symmetric tridiagonal matrix using…