Section 3: library functions
ctprfb.f – SynopsisFunctions/Subroutinessubroutine ctprfb (SIDE, TRANS, DIRECT, STOREV, M, N, K, L, V, LDV, T, LDT, A, LDA, B, LDB, WORK, LDWORK) CTPRFB applies a real or complex ‘triangular-pentagonal’ blocked reflector to a real or complex matrix, which is composed of two blocks. Function/Subroutine Documentationsubroutine ctprfb (characterSIDE, characterTRANS, characterDIRECT, characterSTOREV, integerM, integerN, integerK, integerL, complex,…
ctpqrt2.f – SynopsisFunctions/Subroutinessubroutine ctpqrt2 (M, N, L, A, LDA, B, LDB, T, LDT, INFO) CTPQRT2 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 ctpqrt2 (integerM, integerN, integerL, complex, dimension( lda, * )A,…
ctpqrt.f – SynopsisFunctions/Subroutinessubroutine ctpqrt (M, N, L, NB, A, LDA, B, LDB, T, LDT, WORK, INFO) CTPQRT Function/Subroutine Documentationsubroutine ctpqrt (integerM, integerN, integerL, integerNB, complex, dimension( lda, * )A, integerLDA, complex, dimension( ldb, * )B, integerLDB, complex, dimension( ldt, * )T, integerLDT, complex, dimension( * )WORK, integerINFO)CTPQRT Purpose: CTPQRT computes a blocked QR factorization of…
ctpmv.f – SynopsisFunctions/Subroutinessubroutine ctpmv (UPLO, TRANS, DIAG, N, AP, X, INCX) CTPMV Function/Subroutine Documentationsubroutine ctpmv (characterUPLO, characterTRANS, characterDIAG, integerN, complex, dimension(*)AP, complex, dimension(*)X, integerINCX)CTPMV Purpose: CTPMV performs one of the matrix-vector operations x := A*x, or x := A**T*x, or x := A**H*x, where x is an n element vector and A is an n…
ctpmqrt.f – SynopsisFunctions/Subroutinessubroutine ctpmqrt (SIDE, TRANS, M, N, K, L, NB, V, LDV, T, LDT, A, LDA, B, LDB, WORK, INFO) CTPMQRT Function/Subroutine Documentationsubroutine ctpmqrt (characterSIDE, characterTRANS, integerM, integerN, integerK, integerL, integerNB, complex, dimension( ldv, * )V, integerLDV, complex, dimension( ldt, * )T, integerLDT, complex, dimension( lda, * )A, integerLDA, complex, dimension( ldb, * )B,…
ctpcon.f – SynopsisFunctions/Subroutinessubroutine ctpcon (NORM, UPLO, DIAG, N, AP, RCOND, WORK, RWORK, INFO) CTPCON Function/Subroutine Documentationsubroutine ctpcon (characterNORM, characterUPLO, characterDIAG, integerN, complex, dimension( * )AP, realRCOND, complex, dimension( * )WORK, real, dimension( * )RWORK, integerINFO)CTPCON Purpose: CTPCON estimates the reciprocal of the condition number of a packed triangular matrix A, in either the 1-norm or…
ctgsyl.f – SynopsisFunctions/Subroutinessubroutine ctgsyl (TRANS, IJOB, M, N, A, LDA, B, LDB, C, LDC, D, LDD, E, LDE, F, LDF, SCALE, DIF, WORK, LWORK, IWORK, INFO) CTGSYL Function/Subroutine Documentationsubroutine ctgsyl (characterTRANS, integerIJOB, integerM, integerN, complex, dimension( lda, * )A, integerLDA, complex, dimension( ldb, * )B, integerLDB, complex, dimension( ldc, * )C, integerLDC, complex, dimension( ldd,…
ctgsy2.f – SynopsisFunctions/Subroutinessubroutine ctgsy2 (TRANS, IJOB, M, N, A, LDA, B, LDB, C, LDC, D, LDD, E, LDE, F, LDF, SCALE, RDSUM, RDSCAL, INFO) CTGSY2 solves the generalized Sylvester equation (unblocked algorithm). Function/Subroutine Documentationsubroutine ctgsy2 (characterTRANS, integerIJOB, integerM, integerN, complex, dimension( lda, * )A, integerLDA, complex, dimension( ldb, * )B, integerLDB, complex, dimension( ldc, *…
ctgsna.f – SynopsisFunctions/Subroutinessubroutine ctgsna (JOB, HOWMNY, SELECT, N, A, LDA, B, LDB, VL, LDVL, VR, LDVR, S, DIF, MM, M, WORK, LWORK, IWORK, INFO) CTGSNA Function/Subroutine Documentationsubroutine ctgsna (characterJOB, characterHOWMNY, logical, dimension( * )SELECT, integerN, complex, dimension( lda, * )A, integerLDA, complex, dimension( ldb, * )B, integerLDB, complex, dimension( ldvl, * )VL, integerLDVL, complex, dimension(…
ctgsja.f – SynopsisFunctions/Subroutinessubroutine ctgsja (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) CTGSJA Function/Subroutine Documentationsubroutine ctgsja (characterJOBU, characterJOBV, characterJOBQ, integerM, integerP, integerN, integerK, integerL, complex, dimension( lda, * )A, integerLDA, complex, dimension( ldb, * )B, integerLDB, realTOLA, realTOLB,…
ctgsen.f – SynopsisFunctions/Subroutinessubroutine ctgsen (IJOB, WANTQ, WANTZ, SELECT, N, A, LDA, B, LDB, ALPHA, BETA, Q, LDQ, Z, LDZ, M, PL, PR, DIF, WORK, LWORK, IWORK, LIWORK, INFO) CTGSEN Function/Subroutine Documentationsubroutine ctgsen (integerIJOB, logicalWANTQ, logicalWANTZ, logical, dimension( * )SELECT, integerN, complex, dimension( lda, * )A, integerLDA, complex, dimension( ldb, * )B, integerLDB, complex, dimension( *…
ctgexc.f – SynopsisFunctions/Subroutinessubroutine ctgexc (WANTQ, WANTZ, N, A, LDA, B, LDB, Q, LDQ, Z, LDZ, IFST, ILST, INFO) CTGEXC Function/Subroutine Documentationsubroutine ctgexc (logicalWANTQ, logicalWANTZ, integerN, complex, dimension( lda, * )A, integerLDA, complex, dimension( ldb, * )B, integerLDB, complex, dimension( ldq, * )Q, integerLDQ, complex, dimension( ldz, * )Z, integerLDZ, integerIFST, integerILST, integerINFO)CTGEXC Purpose: CTGEXC reorders…
ctgex2.f – SynopsisFunctions/Subroutinessubroutine ctgex2 (WANTQ, WANTZ, N, A, LDA, B, LDB, Q, LDQ, Z, LDZ, J1, INFO) CTGEX2 swaps adjacent diagonal blocks in an upper (quasi) triangular matrix pair by an unitary equivalence transformation. Function/Subroutine Documentationsubroutine ctgex2 (logicalWANTQ, logicalWANTZ, integerN, complex, dimension( lda, * )A, integerLDA, complex, dimension( ldb, * )B, integerLDB, complex, dimension( ldq,…
ctgevc.f – SynopsisFunctions/Subroutinessubroutine ctgevc (SIDE, HOWMNY, SELECT, N, S, LDS, P, LDP, VL, LDVL, VR, LDVR, MM, M, WORK, RWORK, INFO) CTGEVC Function/Subroutine Documentationsubroutine ctgevc (characterSIDE, characterHOWMNY, logical, dimension( * )SELECT, integerN, complex, dimension( lds, * )S, integerLDS, complex, dimension( ldp, * )P, integerLDP, complex, dimension( ldvl, * )VL, integerLDVL, complex, dimension( ldvr, * )VR,…
ctfttr.f – SynopsisFunctions/Subroutinessubroutine ctfttr (TRANSR, UPLO, N, ARF, A, LDA, INFO) CTFTTR copies a triangular matrix from the rectangular full packed format (TF) to the standard full format (TR). Function/Subroutine Documentationsubroutine ctfttr (characterTRANSR, characterUPLO, integerN, complex, dimension( 0: * )ARF, complex, dimension( 0: lda-1, 0: * )A, integerLDA, integerINFO)CTFTTR copies a triangular matrix from the…
ctfttp.f – SynopsisFunctions/Subroutinessubroutine ctfttp (TRANSR, UPLO, N, ARF, AP, INFO) CTFTTP copies a triangular matrix from the rectangular full packed format (TF) to the standard packed format (TP). Function/Subroutine Documentationsubroutine ctfttp (characterTRANSR, characterUPLO, integerN, complex, dimension( 0: * )ARF, complex, dimension( 0: * )AP, integerINFO)CTFTTP copies a triangular matrix from the rectangular full packed format…
ctftri.f – SynopsisFunctions/Subroutinessubroutine ctftri (TRANSR, UPLO, DIAG, N, A, INFO) CTFTRI Function/Subroutine Documentationsubroutine ctftri (characterTRANSR, characterUPLO, characterDIAG, integerN, complex, dimension( 0: * )A, integerINFO)CTFTRI Purpose: CTFTRI 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 = ‘N’:…
ctfsm.f – SynopsisFunctions/Subroutinessubroutine ctfsm (TRANSR, SIDE, UPLO, TRANS, DIAG, M, N, ALPHA, A, B, LDB) CTFSM solves a matrix equation (one operand is a triangular matrix in RFP format). Function/Subroutine Documentationsubroutine ctfsm (characterTRANSR, characterSIDE, characterUPLO, characterTRANS, characterDIAG, integerM, integerN, complexALPHA, complex, dimension( 0: * )A, complex, dimension( 0: ldb-1, 0: * )B, integerLDB)CTFSM solves a…
ctbtrs.f – SynopsisFunctions/Subroutinessubroutine ctbtrs (UPLO, TRANS, DIAG, N, KD, NRHS, AB, LDAB, B, LDB, INFO) CTBTRS Function/Subroutine Documentationsubroutine ctbtrs (characterUPLO, characterTRANS, characterDIAG, integerN, integerKD, integerNRHS, complex, dimension( ldab, * )AB, integerLDAB, complex, dimension( ldb, * )B, integerLDB, integerINFO)CTBTRS Purpose: CTBTRS solves a triangular system of the form A * X = B, A**T * X…
ctbsv.f – SynopsisFunctions/Subroutinessubroutine ctbsv (UPLO, TRANS, DIAG, N, K, A, LDA, X, INCX) CTBSV Function/Subroutine Documentationsubroutine ctbsv (characterUPLO, characterTRANS, characterDIAG, integerN, integerK, complex, dimension(lda,*)A, integerLDA, complex, dimension(*)X, integerINCX)CTBSV Purpose: CTBSV solves one of the systems of equations A*x = b, or A**T*x = b, or A**H*x = b, where b and x are n element…