Section 3: library functions
NAME dpftri.f – SYNOPSIS Functions/Subroutines subroutine dpftri (TRANSR, UPLO, N, A, INFO) DPFTRI Function/Subroutine Documentation subroutine dpftri (characterTRANSR, characterUPLO, integerN, double precision, dimension( 0: * )A, integerINFO) DPFTRI Purpose: DPFTRI computes the inverse of a (real) symmetric positive definite matrix A using the Cholesky factorization A = U**T*U or A = L*L**T computed by DPFTRF….
NAME dpftrf.f – SYNOPSIS Functions/Subroutines subroutine dpftrf (TRANSR, UPLO, N, A, INFO) DPFTRF Function/Subroutine Documentation subroutine dpftrf (characterTRANSR, characterUPLO, integerN, double precision, dimension( 0: * )A, integerINFO) DPFTRF Purpose: DPFTRF computes the Cholesky factorization of a real symmetric positive definite matrix A. The factorization has the form A = U**T * U, if UPLO =…
NAME dpbtrs.f – SYNOPSIS Functions/Subroutines subroutine dpbtrs (UPLO, N, KD, NRHS, AB, LDAB, B, LDB, INFO) DPBTRS Function/Subroutine Documentation subroutine dpbtrs (characterUPLO, integerN, integerKD, integerNRHS, double precision, dimension( ldab, * )AB, integerLDAB, double precision, dimension( ldb, * )B, integerLDB, integerINFO) DPBTRS Purpose: DPBTRS solves a system of linear equations A*X = B with a symmetric…
NAME dpbtrf.f – SYNOPSIS Functions/Subroutines subroutine dpbtrf (UPLO, N, KD, AB, LDAB, INFO) DPBTRF Function/Subroutine Documentation subroutine dpbtrf (characterUPLO, integerN, integerKD, double precision, dimension( ldab, * )AB, integerLDAB, integerINFO) DPBTRF Purpose: DPBTRF computes the Cholesky factorization of a real symmetric positive definite band matrix A. The factorization has the form A = U**T * U,…
NAME dpbtf2.f – SYNOPSIS Functions/Subroutines subroutine dpbtf2 (UPLO, N, KD, AB, LDAB, INFO) DPBTF2 computes the Cholesky factorization of a symmetric/Hermitian positive definite band matrix (unblocked algorithm). Function/Subroutine Documentation subroutine dpbtf2 (characterUPLO, integerN, integerKD, double precision, dimension( ldab, * )AB, integerLDAB, integerINFO) DPBTF2 computes the Cholesky factorization of a symmetric/Hermitian positive definite band matrix (unblocked…
NAME dpbsvx.f – SYNOPSIS Functions/Subroutines subroutine dpbsvx (FACT, UPLO, N, KD, NRHS, AB, LDAB, AFB, LDAFB, EQUED, S, B, LDB, X, LDX, RCOND, FERR, BERR, WORK, IWORK, INFO) DPBSVX computes the solution to system of linear equations A * X = B for OTHER matrices Function/Subroutine Documentation subroutine dpbsvx (characterFACT, characterUPLO, integerN, integerKD, integerNRHS, double…
NAME dpbsv.f – SYNOPSIS Functions/Subroutines subroutine dpbsv (UPLO, N, KD, NRHS, AB, LDAB, B, LDB, INFO) DPBSV computes the solution to system of linear equations A * X = B for OTHER matrices Function/Subroutine Documentation subroutine dpbsv (characterUPLO, integerN, integerKD, integerNRHS, double precision, dimension( ldab, * )AB, integerLDAB, double precision, dimension( ldb, * )B, integerLDB,…
NAME dpbstf.f – SYNOPSIS Functions/Subroutines subroutine dpbstf (UPLO, N, KD, AB, LDAB, INFO) DPBSTF Function/Subroutine Documentation subroutine dpbstf (characterUPLO, integerN, integerKD, double precision, dimension( ldab, * )AB, integerLDAB, integerINFO) DPBSTF Purpose: DPBSTF computes a split Cholesky factorization of a real symmetric positive definite band matrix A. This routine is designed to be used in conjunction…
NAME dpbrfs.f – SYNOPSIS Functions/Subroutines subroutine dpbrfs (UPLO, N, KD, NRHS, AB, LDAB, AFB, LDAFB, B, LDB, X, LDX, FERR, BERR, WORK, IWORK, INFO) DPBRFS Function/Subroutine Documentation subroutine dpbrfs (characterUPLO, integerN, integerKD, integerNRHS, double precision, dimension( ldab, * )AB, integerLDAB, double precision, dimension( ldafb, * )AFB, integerLDAFB, double precision, dimension( ldb, * )B, integerLDB, double…
NAME dpbequ.f – SYNOPSIS Functions/Subroutines subroutine dpbequ (UPLO, N, KD, AB, LDAB, S, SCOND, AMAX, INFO) DPBEQU Function/Subroutine Documentation subroutine dpbequ (characterUPLO, integerN, integerKD, double precision, dimension( ldab, * )AB, integerLDAB, double precision, dimension( * )S, double precisionSCOND, double precisionAMAX, integerINFO) DPBEQU Purpose: DPBEQU computes row and column scalings intended to equilibrate a symmetric positive…
NAME dpbcon.f – SYNOPSIS Functions/Subroutines subroutine dpbcon (UPLO, N, KD, AB, LDAB, ANORM, RCOND, WORK, IWORK, INFO) DPBCON Function/Subroutine Documentation subroutine dpbcon (characterUPLO, integerN, integerKD, double precision, dimension( ldab, * )AB, integerLDAB, double precisionANORM, double precisionRCOND, double precision, dimension( * )WORK, integer, dimension( * )IWORK, integerINFO) DPBCON Purpose: DPBCON estimates the reciprocal of the condition…
NAME dormtr.f – SYNOPSIS Functions/Subroutines subroutine dormtr (SIDE, UPLO, TRANS, M, N, A, LDA, TAU, C, LDC, WORK, LWORK, INFO) DORMTR Function/Subroutine Documentation subroutine dormtr (characterSIDE, characterUPLO, characterTRANS, integerM, integerN, double precision, dimension( lda, * )A, integerLDA, double precision, dimension( * )TAU, double precision, dimension( ldc, * )C, integerLDC, double precision, dimension( * )WORK, integerLWORK,…
NAME dormrz.f – SYNOPSIS Functions/Subroutines subroutine dormrz (SIDE, TRANS, M, N, K, L, A, LDA, TAU, C, LDC, WORK, LWORK, INFO) DORMRZ Function/Subroutine Documentation subroutine dormrz (characterSIDE, characterTRANS, integerM, integerN, integerK, integerL, double precision, dimension( lda, * )A, integerLDA, double precision, dimension( * )TAU, double precision, dimension( ldc, * )C, integerLDC, double precision, dimension( *…
NAME dormrq.f – SYNOPSIS Functions/Subroutines subroutine dormrq (SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC, WORK, LWORK, INFO) DORMRQ Function/Subroutine Documentation subroutine dormrq (characterSIDE, characterTRANS, integerM, integerN, integerK, double precision, dimension( lda, * )A, integerLDA, double precision, dimension( * )TAU, double precision, dimension( ldc, * )C, integerLDC, double precision, dimension( * )WORK, integerLWORK,…
NAME dormr3.f – SYNOPSIS Functions/Subroutines subroutine dormr3 (SIDE, TRANS, M, N, K, L, A, LDA, TAU, C, LDC, WORK, INFO) DORMR3 multiplies a general matrix by the orthogonal matrix from a RZ factorization determined by stzrzf (unblocked algorithm). Function/Subroutine Documentation subroutine dormr3 (characterSIDE, characterTRANS, integerM, integerN, integerK, integerL, double precision, dimension( lda, * )A, integerLDA,…
NAME dormr2.f – SYNOPSIS Functions/Subroutines subroutine dormr2 (SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC, WORK, INFO) DORMR2 multiplies a general matrix by the orthogonal matrix from a RQ factorization determined by sgerqf (unblocked algorithm). Function/Subroutine Documentation subroutine dormr2 (characterSIDE, characterTRANS, integerM, integerN, integerK, double precision, dimension( lda, * )A, integerLDA, double precision,…
NAME dormqr.f – SYNOPSIS Functions/Subroutines subroutine dormqr (SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC, WORK, LWORK, INFO) DORMQR Function/Subroutine Documentation subroutine dormqr (characterSIDE, characterTRANS, integerM, integerN, integerK, double precision, dimension( lda, * )A, integerLDA, double precision, dimension( * )TAU, double precision, dimension( ldc, * )C, integerLDC, double precision, dimension( * )WORK, integerLWORK,…
NAME dormql.f – SYNOPSIS Functions/Subroutines subroutine dormql (SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC, WORK, LWORK, INFO) DORMQL Function/Subroutine Documentation subroutine dormql (characterSIDE, characterTRANS, integerM, integerN, integerK, double precision, dimension( lda, * )A, integerLDA, double precision, dimension( * )TAU, double precision, dimension( ldc, * )C, integerLDC, double precision, dimension( * )WORK, integerLWORK,…
NAME dormlq.f – SYNOPSIS Functions/Subroutines subroutine dormlq (SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC, WORK, LWORK, INFO) DORMLQ Function/Subroutine Documentation subroutine dormlq (characterSIDE, characterTRANS, integerM, integerN, integerK, double precision, dimension( lda, * )A, integerLDA, double precision, dimension( * )TAU, double precision, dimension( ldc, * )C, integerLDC, double precision, dimension( * )WORK, integerLWORK,…
NAME dorml2.f – SYNOPSIS Functions/Subroutines subroutine dorml2 (SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC, WORK, INFO) DORML2 multiplies a general matrix by the orthogonal matrix from a LQ factorization determined by sgelqf (unblocked algorithm). Function/Subroutine Documentation subroutine dorml2 (characterSIDE, characterTRANS, integerM, integerN, integerK, double precision, dimension( lda, * )A, integerLDA, double precision,…