Section 3: library functions
NAME dsygs2.f – SYNOPSIS Functions/Subroutines subroutine dsygs2 (ITYPE, UPLO, N, A, LDA, B, LDB, INFO) DSYGS2 reduces a symmetric definite generalized eigenproblem to standard form, using the factorization results obtained from spotrf (unblocked algorithm). Function/Subroutine Documentation subroutine dsygs2 (integerITYPE, characterUPLO, integerN, double precision, dimension( lda, * )A, integerLDA, double precision, dimension( ldb, * )B, integerLDB,…
NAME dsyevx.f – SYNOPSIS Functions/Subroutines subroutine dsyevx (JOBZ, RANGE, UPLO, N, A, LDA, VL, VU, IL, IU, ABSTOL, M, W, Z, LDZ, WORK, LWORK, IWORK, IFAIL, INFO) DSYEVX computes the eigenvalues and, optionally, the left and/or right eigenvectors for SY matrices Function/Subroutine Documentation subroutine dsyevx (characterJOBZ, characterRANGE, characterUPLO, integerN, double precision, dimension( lda, * )A,…
NAME dsyevr.f – SYNOPSIS Functions/Subroutines subroutine dsyevr (JOBZ, RANGE, UPLO, N, A, LDA, VL, VU, IL, IU, ABSTOL, M, W, Z, LDZ, ISUPPZ, WORK, LWORK, IWORK, LIWORK, INFO) DSYEVR computes the eigenvalues and, optionally, the left and/or right eigenvectors for SY matrices Function/Subroutine Documentation subroutine dsyevr (characterJOBZ, characterRANGE, characterUPLO, integerN, double precision, dimension( lda, *…
NAME dsyevd.f – SYNOPSIS Functions/Subroutines subroutine dsyevd (JOBZ, UPLO, N, A, LDA, W, WORK, LWORK, IWORK, LIWORK, INFO) DSYEVD computes the eigenvalues and, optionally, the left and/or right eigenvectors for SY matrices Function/Subroutine Documentation subroutine dsyevd (characterJOBZ, characterUPLO, integerN, double precision, dimension( lda, * )A, integerLDA, double precision, dimension( * )W, double precision, dimension( *…
NAME dsyev.f – SYNOPSIS Functions/Subroutines subroutine dsyev (JOBZ, UPLO, N, A, LDA, W, WORK, LWORK, INFO) DSYEV computes the eigenvalues and, optionally, the left and/or right eigenvectors for SY matrices Function/Subroutine Documentation subroutine dsyev (characterJOBZ, characterUPLO, integerN, double precision, dimension( lda, * )A, integerLDA, double precision, dimension( * )W, double precision, dimension( * )WORK, integerLWORK,…
NAME dsyequb.f – SYNOPSIS Functions/Subroutines subroutine dsyequb (UPLO, N, A, LDA, S, SCOND, AMAX, WORK, INFO) DSYEQUB Function/Subroutine Documentation subroutine dsyequb (characterUPLO, integerN, double precision, dimension( lda, * )A, integerLDA, double precision, dimension( * )S, double precisionSCOND, double precisionAMAX, double precision, dimension( * )WORK, integerINFO) DSYEQUB Purpose: DSYEQUB computes row and column scalings intended to…
NAME dsyconv.f – SYNOPSIS Functions/Subroutines subroutine dsyconv (UPLO, WAY, N, A, LDA, IPIV, WORK, INFO) DSYCONV Function/Subroutine Documentation subroutine dsyconv (characterUPLO, characterWAY, integerN, double precision, dimension( lda, * )A, integerLDA, integer, dimension( * )IPIV, double precision, dimension( * )WORK, integerINFO) DSYCONV Purpose: DSYCONV convert A given by TRF into L and D and vice-versa. Get…
NAME dsycon.f – SYNOPSIS Functions/Subroutines subroutine dsycon (UPLO, N, A, LDA, IPIV, ANORM, RCOND, WORK, IWORK, INFO) DSYCON Function/Subroutine Documentation subroutine dsycon (characterUPLO, integerN, double precision, dimension( lda, * )A, integerLDA, integer, dimension( * )IPIV, double precisionANORM, double precisionRCOND, double precision, dimension( * )WORK, integer, dimension( * )IWORK, integerINFO) DSYCON Purpose: DSYCON estimates the reciprocal…
NAME dswap.f – SYNOPSIS Functions/Subroutines subroutine dswap (N, DX, INCX, DY, INCY) DSWAP Function/Subroutine Documentation subroutine dswap (integerN, double precision, dimension(*)DX, integerINCX, double precision, dimension(*)DY, integerINCY) DSWAP Purpose: interchanges two vectors. uses unrolled loops for increments equal one. Author: Univ. of Tennessee Univ. of California Berkeley Univ. of Colorado Denver NAG Ltd. Date: November…
NAME dstevx.f – SYNOPSIS Functions/Subroutines subroutine dstevx (JOBZ, RANGE, N, D, E, VL, VU, IL, IU, ABSTOL, M, W, Z, LDZ, WORK, IWORK, IFAIL, INFO) DSTEVX computes the eigenvalues and, optionally, the left and/or right eigenvectors for OTHER matrices Function/Subroutine Documentation subroutine dstevx (characterJOBZ, characterRANGE, integerN, double precision, dimension( * )D, double precision, dimension( *…
NAME dstevr.f – SYNOPSIS Functions/Subroutines subroutine dstevr (JOBZ, RANGE, N, D, E, VL, VU, IL, IU, ABSTOL, M, W, Z, LDZ, ISUPPZ, WORK, LWORK, IWORK, LIWORK, INFO) DSTEVR computes the eigenvalues and, optionally, the left and/or right eigenvectors for OTHER matrices Function/Subroutine Documentation subroutine dstevr (characterJOBZ, characterRANGE, integerN, double precision, dimension( * )D, double precision,…
NAME dstevd.f – SYNOPSIS Functions/Subroutines subroutine dstevd (JOBZ, N, D, E, Z, LDZ, WORK, LWORK, IWORK, LIWORK, INFO) DSTEVD computes the eigenvalues and, optionally, the left and/or right eigenvectors for OTHER matrices Function/Subroutine Documentation subroutine dstevd (characterJOBZ, integerN, double precision, dimension( * )D, double precision, dimension( * )E, double precision, dimension( ldz, * )Z, integerLDZ,…
NAME dstev.f – SYNOPSIS Functions/Subroutines subroutine dstev (JOBZ, N, D, E, Z, LDZ, WORK, INFO) DSTEV computes the eigenvalues and, optionally, the left and/or right eigenvectors for OTHER matrices Function/Subroutine Documentation subroutine dstev (characterJOBZ, integerN, double precision, dimension( * )D, double precision, dimension( * )E, double precision, dimension( ldz, * )Z, integerLDZ, double precision, dimension(…
NAME dsterf.f – SYNOPSIS Functions/Subroutines subroutine dsterf (N, D, E, INFO) DSTERF Function/Subroutine Documentation subroutine dsterf (integerN, double precision, dimension( * )D, double precision, dimension( * )E, integerINFO) DSTERF Purpose: DSTERF 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…
NAME dsteqr.f – SYNOPSIS Functions/Subroutines subroutine dsteqr (COMPZ, N, D, E, Z, LDZ, WORK, INFO) DSTEQR Function/Subroutine Documentation subroutine dsteqr (characterCOMPZ, integerN, double precision, dimension( * )D, double precision, dimension( * )E, double precision, dimension( ldz, * )Z, integerLDZ, double precision, dimension( * )WORK, integerINFO) DSTEQR Purpose: DSTEQR computes all eigenvalues and, optionally, eigenvectors of…
NAME dstemr.f – SYNOPSIS Functions/Subroutines subroutine dstemr (JOBZ, RANGE, N, D, E, VL, VU, IL, IU, M, W, Z, LDZ, NZC, ISUPPZ, TRYRAC, WORK, LWORK, IWORK, LIWORK, INFO) DSTEMR Function/Subroutine Documentation subroutine dstemr (characterJOBZ, characterRANGE, integerN, double precision, dimension( * )D, double precision, dimension( * )E, double precisionVL, double precisionVU, integerIL, integerIU, integerM, double precision,…
NAME dstein.f – SYNOPSIS Functions/Subroutines subroutine dstein (N, D, E, M, W, IBLOCK, ISPLIT, Z, LDZ, WORK, IWORK, IFAIL, INFO) DSTEIN Function/Subroutine Documentation subroutine dstein (integerN, double precision, dimension( * )D, double precision, dimension( * )E, integerM, double precision, dimension( * )W, integer, dimension( * )IBLOCK, integer, dimension( * )ISPLIT, double precision, dimension( ldz, *…
NAME dstegr.f – SYNOPSIS Functions/Subroutines subroutine dstegr (JOBZ, RANGE, N, D, E, VL, VU, IL, IU, ABSTOL, M, W, Z, LDZ, ISUPPZ, WORK, LWORK, IWORK, LIWORK, INFO) DSTEGR Function/Subroutine Documentation subroutine dstegr (characterJOBZ, characterRANGE, integerN, double precision, dimension( * )D, double precision, dimension( * )E, double precisionVL, double precisionVU, integerIL, integerIU, double precisionABSTOL, integerM, double…
NAME dstedc.f – SYNOPSIS Functions/Subroutines subroutine dstedc (COMPZ, N, D, E, Z, LDZ, WORK, LWORK, IWORK, LIWORK, INFO) DSTEBZ Function/Subroutine Documentation subroutine dstedc (characterCOMPZ, integerN, double precision, dimension( * )D, double precision, dimension( * )E, double precision, dimension( ldz, * )Z, integerLDZ, double precision, dimension( * )WORK, integerLWORK, integer, dimension( * )IWORK, integerLIWORK, integerINFO) DSTEBZ…
NAME dstebz.f – SYNOPSIS Functions/Subroutines subroutine dstebz (RANGE, ORDER, N, VL, VU, IL, IU, ABSTOL, D, E, M, NSPLIT, W, IBLOCK, ISPLIT, WORK, IWORK, INFO) DSTEBZ Function/Subroutine Documentation subroutine dstebz (characterRANGE, characterORDER, integerN, double precisionVL, double precisionVU, integerIL, integerIU, double precisionABSTOL, double precision, dimension( * )D, double precision, dimension( * )E, integerM, integerNSPLIT, double precision,…