Section 3: library functions
dtprfb.f – SynopsisFunctions/Subroutinessubroutine 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 Documentationsubroutine dtprfb (characterSIDE, characterTRANS, characterDIRECT, characterSTOREV, integerM, integerN, integerK, integerL, double…
dtpqrt2.f – SynopsisFunctions/Subroutinessubroutine 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 Documentationsubroutine dtpqrt2 (integerM, integerN, integerL, double precision, dimension( lda, *…
dtpqrt.f – SynopsisFunctions/Subroutinessubroutine dtpqrt (M, N, L, NB, A, LDA, B, LDB, T, LDT, WORK, INFO) DTPQRT Function/Subroutine Documentationsubroutine 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 Purpose: DTPQRT computes a…
dtpmv.f – SynopsisFunctions/Subroutinessubroutine dtpmv (UPLO, TRANS, DIAG, N, AP, X, INCX) DTPMV Function/Subroutine Documentationsubroutine 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 an n by n…
dtpmqrt.f – SynopsisFunctions/Subroutinessubroutine dtpmqrt (SIDE, TRANS, M, N, K, L, NB, V, LDV, T, LDT, A, LDA, B, LDB, WORK, INFO) DTPMQRT Function/Subroutine Documentationsubroutine 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, integerLDA, double precision,…
dtpcon.f – SynopsisFunctions/Subroutinessubroutine dtpcon (NORM, UPLO, DIAG, N, AP, RCOND, WORK, IWORK, INFO) DTPCON Function/Subroutine Documentationsubroutine 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 matrix A, in either…
dtgsyl.f – SynopsisFunctions/Subroutinessubroutine 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 Documentationsubroutine dtgsyl (characterTRANS, integerIJOB, integerM, integerN, double precision, dimension( lda, * )A, integerLDA, double precision, dimension( ldb, * )B, integerLDB, double precision, dimension( ldc, * )C, integerLDC,…
dtgsy2.f – SynopsisFunctions/Subroutinessubroutine 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 Documentationsubroutine dtgsy2 (characterTRANS, integerIJOB, integerM, integerN, double precision, dimension( lda, * )A, integerLDA, double precision, dimension( ldb, * )B, integerLDB,…
dtgsna.f – SynopsisFunctions/Subroutinessubroutine dtgsna (JOB, HOWMNY, SELECT, N, A, LDA, B, LDB, VL, LDVL, VR, LDVR, S, DIF, MM, M, WORK, LWORK, IWORK, INFO) DTGSNA Function/Subroutine Documentationsubroutine dtgsna (characterJOB, characterHOWMNY, logical, dimension( * )SELECT, integerN, double precision, dimension( lda, * )A, integerLDA, double precision, dimension( ldb, * )B, integerLDB, double precision, dimension( ldvl, * )VL,…
dtgsja.f – SynopsisFunctions/Subroutinessubroutine 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 Documentationsubroutine dtgsja (characterJOBU, characterJOBV, characterJOBQ, integerM, integerP, integerN, integerK, integerL, double precision, dimension( lda, * )A, integerLDA, double precision, dimension( ldb, * )B, integerLDB,…
dtgsen.f – SynopsisFunctions/Subroutinessubroutine 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 Documentationsubroutine dtgsen (integerIJOB, logicalWANTQ, logicalWANTZ, logical, dimension( * )SELECT, integerN, double precision, dimension( lda, * )A, integerLDA, double precision, dimension( ldb, * )B, integerLDB,…
dtgexc.f – SynopsisFunctions/Subroutinessubroutine dtgexc (WANTQ, WANTZ, N, A, LDA, B, LDB, Q, LDQ, Z, LDZ, IFST, ILST, WORK, LWORK, INFO) DTGEXC Function/Subroutine Documentationsubroutine 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, * )Z, integerLDZ,…
dtgex2.f – SynopsisFunctions/Subroutinessubroutine 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 Documentationsubroutine dtgex2 (logicalWANTQ, logicalWANTZ, integerN, double precision, dimension( lda, * )A, integerLDA, double precision, dimension( ldb,…
dtgevc.f – SynopsisFunctions/Subroutinessubroutine dtgevc (SIDE, HOWMNY, SELECT, N, S, LDS, P, LDP, VL, LDVL, VR, LDVR, MM, M, WORK, INFO) DTGEVC Function/Subroutine Documentationsubroutine dtgevc (characterSIDE, characterHOWMNY, logical, dimension( * )SELECT, integerN, double precision, dimension( lds, * )S, integerLDS, double precision, dimension( ldp, * )P, integerLDP, double precision, dimension( ldvl, * )VL, integerLDVL, double precision, dimension(…
dtfttr.f – SynopsisFunctions/Subroutinessubroutine dtfttr (TRANSR, UPLO, N, ARF, A, LDA, INFO) DTFTTR copies a triangular matrix from the rectangular full packed format (TF) to the standard full format (TR). Function/Subroutine Documentationsubroutine dtfttr (characterTRANSR, characterUPLO, integerN, double precision, dimension( 0: * )ARF, double precision, dimension( 0: lda-1, 0: * )A, integerLDA, integerINFO)DTFTTR copies a triangular matrix…
dtfttp.f – SynopsisFunctions/Subroutinessubroutine dtfttp (TRANSR, UPLO, N, ARF, AP, INFO) DTFTTP copies a triangular matrix from the rectangular full packed format (TF) to the standard packed format (TP). Function/Subroutine Documentationsubroutine dtfttp (characterTRANSR, characterUPLO, integerN, double precision, dimension( 0: * )ARF, double precision, dimension( 0: * )AP, integerINFO)DTFTTP copies a triangular matrix from the rectangular full…
dtftri.f – SynopsisFunctions/Subroutinessubroutine dtftri (TRANSR, UPLO, DIAG, N, A, INFO) DTFTRI Function/Subroutine Documentationsubroutine dtftri (characterTRANSR, characterUPLO, characterDIAG, integerN, double precision, dimension( 0: * )A, integerINFO)DTFTRI Purpose: DTFTRI computes the inverse of a triangular matrix A stored in RFP format. This is a Level 3 BLAS version of the algorithm. Parameters: TRANSR TRANSR is CHARACTER*1 =…
dtfsm.f – SynopsisFunctions/Subroutinessubroutine dtfsm (TRANSR, SIDE, UPLO, TRANS, DIAG, M, N, ALPHA, A, B, LDB) DTFSM solves a matrix equation (one operand is a triangular matrix in RFP format). Function/Subroutine Documentationsubroutine dtfsm (characterTRANSR, characterSIDE, characterUPLO, characterTRANS, characterDIAG, integerM, integerN, double precisionALPHA, double precision, dimension( 0: * )A, double precision, dimension( 0: ldb-1, 0: * )B,…
dtbtrs.f – SynopsisFunctions/Subroutinessubroutine dtbtrs (UPLO, TRANS, DIAG, N, KD, NRHS, AB, LDAB, B, LDB, INFO) DTBTRS Function/Subroutine Documentationsubroutine dtbtrs (characterUPLO, characterTRANS, characterDIAG, integerN, integerKD, integerNRHS, double precision, dimension( ldab, * )AB, integerLDAB, double precision, dimension( ldb, * )B, integerLDB, integerINFO)DTBTRS Purpose: DTBTRS solves a triangular system of the form A * X = B or…
dtbsv.f – SynopsisFunctions/Subroutinessubroutine dtbsv (UPLO, TRANS, DIAG, N, K, A, LDA, X, INCX) DTBSV Function/Subroutine Documentationsubroutine dtbsv (characterUPLO, characterTRANS, characterDIAG, integerN, integerK, double precision, dimension(lda,*)A, integerLDA, double precision, dimension(*)X, integerINCX)DTBSV Purpose: DTBSV solves one of the systems of equations A*x = b, or A**T*x = b, where b and x are n element vectors and…