Section 3: library functions
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 of…
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 the…
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 matrix…
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 A**T…
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 upper…
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 and…
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( * )FERR,…
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, integerN,…
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 precision,…
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) DTPQRT…
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 is…
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, * )A,…
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 triangular…
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( ldc,…
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( ldb,…
dtgsna.f – Synopsis Functions/Subroutines subroutine dtgsna (JOB, HOWMNY, SELECT, N, A, LDA, B, LDB, VL, LDVL, VR, LDVR, S, DIF, MM, M, WORK, LWORK, IWORK, INFO) DTGSNA Function/Subroutine Documentation subroutine dtgsna (characterJOB, characterHOWMNY, logical, dimension( * )SELECT, integerN, double precision, dimension( lda, * )A, integerLDA, double precision, dimension( ldb, * )B, integerLDB, double precision, dimension(…
dtgsja.f – Synopsis Functions/Subroutines subroutine dtgsja (JOBU, JOBV, JOBQ, M, P, N, K, L, A, LDA, B, LDB, TOLA, TOLB, ALPHA, BETA, U, LDU, V, LDV, Q, LDQ, WORK, NCYCLE, INFO) DTGSJA Function/Subroutine Documentation subroutine dtgsja (characterJOBU, characterJOBV, characterJOBQ, integerM, integerP, integerN, integerK, integerL, double precision, dimension( lda, * )A, integerLDA, double precision, dimension( ldb,…
dtgsen.f – Synopsis Functions/Subroutines subroutine dtgsen (IJOB, WANTQ, WANTZ, SELECT, N, A, LDA, B, LDB, ALPHAR, ALPHAI, BETA, Q, LDQ, Z, LDZ, M, PL, PR, DIF, WORK, LWORK, IWORK, LIWORK, INFO) DTGSEN Function/Subroutine Documentation subroutine dtgsen (integerIJOB, logicalWANTQ, logicalWANTZ, logical, dimension( * )SELECT, integerN, double precision, dimension( lda, * )A, integerLDA, double precision, dimension( ldb,…
dtgexc.f – Synopsis Functions/Subroutines subroutine dtgexc (WANTQ, WANTZ, N, A, LDA, B, LDB, Q, LDQ, Z, LDZ, IFST, ILST, WORK, LWORK, INFO) DTGEXC Function/Subroutine Documentation subroutine dtgexc (logicalWANTQ, logicalWANTZ, integerN, double precision, dimension( lda, * )A, integerLDA, double precision, dimension( ldb, * )B, integerLDB, double precision, dimension( ldq, * )Q, integerLDQ, double precision, dimension( ldz,…
dtgex2.f – Synopsis Functions/Subroutines subroutine dtgex2 (WANTQ, WANTZ, N, A, LDA, B, LDB, Q, LDQ, Z, LDZ, J1, N1, N2, WORK, LWORK, INFO) DTGEX2 swaps adjacent diagonal blocks in an upper (quasi) triangular matrix pair by an orthogonal equivalence transformation. Function/Subroutine Documentation subroutine dtgex2 (logicalWANTQ, logicalWANTZ, integerN, double precision, dimension( lda, * )A, integerLDA, double…