Section 3: library functions
NAME dtrrfs.f – SYNOPSIS Functions/Subroutines subroutine dtrrfs (UPLO, TRANS, DIAG, N, NRHS, A, LDA, B, LDB, X, LDX, FERR, BERR, WORK, IWORK, INFO) DTRRFS Function/Subroutine Documentation subroutine dtrrfs (characterUPLO, characterTRANS, characterDIAG, integerN, integerNRHS, double precision, dimension( lda, * )A, integerLDA, double precision, dimension( ldb, * )B, integerLDB, double precision, dimension( ldx, * )X, integerLDX, double…
NAME dtrmv.f – SYNOPSIS Functions/Subroutines subroutine dtrmv (UPLO, TRANS, DIAG, N, A, LDA, X, INCX) DTRMV Function/Subroutine Documentation subroutine dtrmv (characterUPLO, characterTRANS, characterDIAG, integerN, double precision, dimension(lda,*)A, integerLDA, double precision, dimension(*)X, integerINCX) DTRMV Purpose: DTRMV performs one of the matrix-vector operations x := A*x, or x := A**T*x, where x is an n element vector…
NAME dtrmm.f – SYNOPSIS Functions/Subroutines subroutine dtrmm (SIDE, UPLO, TRANSA, DIAG, M, N, ALPHA, A, LDA, B, LDB) DTRMM Function/Subroutine Documentation subroutine dtrmm (characterSIDE, characterUPLO, characterTRANSA, characterDIAG, integerM, integerN, double precisionALPHA, double precision, dimension(lda,*)A, integerLDA, double precision, dimension(ldb,*)B, integerLDB) DTRMM Purpose: DTRMM performs one of the matrix-matrix operations B := alpha*op( A )*B, or B…
NAME dtrexc.f – SYNOPSIS Functions/Subroutines subroutine dtrexc (COMPQ, N, T, LDT, Q, LDQ, IFST, ILST, WORK, INFO) DTREXC Function/Subroutine Documentation subroutine dtrexc (characterCOMPQ, integerN, double precision, dimension( ldt, * )T, integerLDT, double precision, dimension( ldq, * )Q, integerLDQ, integerIFST, integerILST, double precision, dimension( * )WORK, integerINFO) DTREXC Purpose: DTREXC reorders the real Schur factorization of…
NAME dtrevc.f – SYNOPSIS Functions/Subroutines subroutine dtrevc (SIDE, HOWMNY, SELECT, N, T, LDT, VL, LDVL, VR, LDVR, MM, M, WORK, INFO) DTREVC Function/Subroutine Documentation subroutine dtrevc (characterSIDE, characterHOWMNY, logical, dimension( * )SELECT, integerN, double precision, dimension( ldt, * )T, integerLDT, double precision, dimension( ldvl, * )VL, integerLDVL, double precision, dimension( ldvr, * )VR, integerLDVR, integerMM,…
NAME dtrcon.f – SYNOPSIS Functions/Subroutines subroutine dtrcon (NORM, UPLO, DIAG, N, A, LDA, RCOND, WORK, IWORK, INFO) DTRCON Function/Subroutine Documentation subroutine dtrcon (characterNORM, characterUPLO, characterDIAG, integerN, double precision, dimension( lda, * )A, integerLDA, double precisionRCOND, double precision, dimension( * )WORK, integer, dimension( * )IWORK, integerINFO) DTRCON Purpose: DTRCON estimates the reciprocal of the condition number…
NAME dtpttr.f – SYNOPSIS Functions/Subroutines subroutine dtpttr (UPLO, N, AP, A, LDA, INFO) DTPTTR copies a triangular matrix from the standard packed format (TP) to the standard full format (TR). Function/Subroutine Documentation subroutine dtpttr (characterUPLO, integerN, double precision, dimension( * )AP, double precision, dimension( lda, * )A, integerLDA, integerINFO) DTPTTR copies a triangular matrix from…
NAME dtpttf.f – SYNOPSIS Functions/Subroutines subroutine dtpttf (TRANSR, UPLO, N, AP, ARF, INFO) DTPTTF copies a triangular matrix from the standard packed format (TP) to the rectangular full packed format (TF). Function/Subroutine Documentation subroutine dtpttf (characterTRANSR, characterUPLO, integerN, double precision, dimension( 0: * )AP, double precision, dimension( 0: * )ARF, integerINFO) DTPTTF copies a triangular…
NAME dtptrs.f – SYNOPSIS Functions/Subroutines subroutine dtptrs (UPLO, TRANS, DIAG, N, NRHS, AP, B, LDB, INFO) DTPTRS Function/Subroutine Documentation subroutine dtptrs (characterUPLO, characterTRANS, characterDIAG, integerN, integerNRHS, double precision, dimension( * )AP, double precision, dimension( ldb, * )B, integerLDB, integerINFO) DTPTRS Purpose: DTPTRS solves a triangular system of the form A * X = B or…
NAME dtptri.f – SYNOPSIS Functions/Subroutines subroutine dtptri (UPLO, DIAG, N, AP, INFO) DTPTRI Function/Subroutine Documentation subroutine dtptri (characterUPLO, characterDIAG, integerN, double precision, dimension( * )AP, integerINFO) DTPTRI Purpose: DTPTRI computes the inverse of a real upper or lower triangular matrix A stored in packed format. Parameters: UPLO UPLO is CHARACTER*1 = ‘U’: A is…
NAME dtpsv.f – SYNOPSIS Functions/Subroutines subroutine dtpsv (UPLO, TRANS, DIAG, N, AP, X, INCX) DTPSV Function/Subroutine Documentation subroutine dtpsv (characterUPLO, characterTRANS, characterDIAG, integerN, double precision, dimension(*)AP, double precision, dimension(*)X, integerINCX) DTPSV Purpose: DTPSV solves one of the systems of equations A*x = b, or A**T*x = b, where b and x are n element vectors…
NAME dtprfs.f – SYNOPSIS Functions/Subroutines subroutine dtprfs (UPLO, TRANS, DIAG, N, NRHS, AP, B, LDB, X, LDX, FERR, BERR, WORK, IWORK, INFO) DTPRFS Function/Subroutine Documentation subroutine dtprfs (characterUPLO, characterTRANS, characterDIAG, integerN, integerNRHS, double precision, dimension( * )AP, double precision, dimension( ldb, * )B, integerLDB, double precision, dimension( ldx, * )X, integerLDX, double precision, dimension( *…
NAME dtprfb.f – SYNOPSIS Functions/Subroutines subroutine dtprfb (SIDE, TRANS, DIRECT, STOREV, M, N, K, L, V, LDV, T, LDT, A, LDA, B, LDB, WORK, LDWORK) DTPRFB applies a real or complex ‘triangular-pentagonal’ blocked reflector to a real or complex matrix, which is composed of two blocks. Function/Subroutine Documentation subroutine dtprfb (characterSIDE, characterTRANS, characterDIRECT, characterSTOREV, integerM,…
NAME dtpqrt2.f – SYNOPSIS Functions/Subroutines subroutine dtpqrt2 (M, N, L, A, LDA, B, LDB, T, LDT, INFO) DTPQRT2 computes a QR factorization of a real or complex ‘triangular-pentagonal’ matrix, which is composed of a triangular block and a pentagonal block, using the compact WY representation for Q. Function/Subroutine Documentation subroutine dtpqrt2 (integerM, integerN, integerL, double…
NAME dtpqrt.f – SYNOPSIS Functions/Subroutines subroutine dtpqrt (M, N, L, NB, A, LDA, B, LDB, T, LDT, WORK, INFO) DTPQRT Function/Subroutine Documentation subroutine dtpqrt (integerM, integerN, integerL, integerNB, double precision, dimension( lda, * )A, integerLDA, double precision, dimension( ldb, * )B, integerLDB, double precision, dimension( ldt, * )T, integerLDT, double precision, dimension( * )WORK, integerINFO)…
NAME dtpmv.f – SYNOPSIS Functions/Subroutines subroutine dtpmv (UPLO, TRANS, DIAG, N, AP, X, INCX) DTPMV Function/Subroutine Documentation subroutine dtpmv (characterUPLO, characterTRANS, characterDIAG, integerN, double precision, dimension(*)AP, double precision, dimension(*)X, integerINCX) DTPMV Purpose: DTPMV performs one of the matrix-vector operations x := A*x, or x := A**T*x, where x is an n element vector and A…
NAME dtpmqrt.f – SYNOPSIS Functions/Subroutines subroutine dtpmqrt (SIDE, TRANS, M, N, K, L, NB, V, LDV, T, LDT, A, LDA, B, LDB, WORK, INFO) DTPMQRT Function/Subroutine Documentation subroutine dtpmqrt (characterSIDE, characterTRANS, integerM, integerN, integerK, integerL, integerNB, double precision, dimension( ldv, * )V, integerLDV, double precision, dimension( ldt, * )T, integerLDT, double precision, dimension( lda, *…
NAME dtpcon.f – SYNOPSIS Functions/Subroutines subroutine dtpcon (NORM, UPLO, DIAG, N, AP, RCOND, WORK, IWORK, INFO) DTPCON Function/Subroutine Documentation subroutine dtpcon (characterNORM, characterUPLO, characterDIAG, integerN, double precision, dimension( * )AP, double precisionRCOND, double precision, dimension( * )WORK, integer, dimension( * )IWORK, integerINFO) DTPCON Purpose: DTPCON estimates the reciprocal of the condition number of a packed…
NAME dtgsyl.f – SYNOPSIS Functions/Subroutines subroutine dtgsyl (TRANS, IJOB, M, N, A, LDA, B, LDB, C, LDC, D, LDD, E, LDE, F, LDF, SCALE, DIF, WORK, LWORK, IWORK, INFO) DTGSYL Function/Subroutine Documentation subroutine dtgsyl (characterTRANS, integerIJOB, integerM, integerN, double precision, dimension( lda, * )A, integerLDA, double precision, dimension( ldb, * )B, integerLDB, double precision, dimension(…
NAME dtgsy2.f – SYNOPSIS Functions/Subroutines subroutine dtgsy2 (TRANS, IJOB, M, N, A, LDA, B, LDB, C, LDC, D, LDD, E, LDE, F, LDF, SCALE, RDSUM, RDSCAL, IWORK, PQ, INFO) DTGSY2 solves the generalized Sylvester equation (unblocked algorithm). Function/Subroutine Documentation subroutine dtgsy2 (characterTRANS, integerIJOB, integerM, integerN, double precision, dimension( lda, * )A, integerLDA, double precision, dimension(…