Section 3: library functions
NAME ctgsy2.f – SYNOPSIS Functions/Subroutines subroutine 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 Documentation subroutine ctgsy2 (characterTRANS, integerIJOB, integerM, integerN, complex, dimension( lda, * )A, integerLDA, complex, dimension( ldb, * )B, integerLDB,…
NAME ctgsna.f – SYNOPSIS Functions/Subroutines subroutine ctgsna (JOB, HOWMNY, SELECT, N, A, LDA, B, LDB, VL, LDVL, VR, LDVR, S, DIF, MM, M, WORK, LWORK, IWORK, INFO) CTGSNA Function/Subroutine Documentation subroutine ctgsna (characterJOB, characterHOWMNY, logical, dimension( * )SELECT, integerN, complex, dimension( lda, * )A, integerLDA, complex, dimension( ldb, * )B, integerLDB, complex, dimension( ldvl, *…
NAME ctgsja.f – SYNOPSIS Functions/Subroutines subroutine 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 Documentation subroutine ctgsja (characterJOBU, characterJOBV, characterJOBQ, integerM, integerP, integerN, integerK, integerL, complex, dimension( lda, * )A, integerLDA, complex, dimension( ldb, *…
NAME ctgsen.f – SYNOPSIS Functions/Subroutines subroutine 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 Documentation subroutine ctgsen (integerIJOB, logicalWANTQ, logicalWANTZ, logical, dimension( * )SELECT, integerN, complex, dimension( lda, * )A, integerLDA, complex, dimension( ldb, * )B,…
NAME ctgexc.f – SYNOPSIS Functions/Subroutines subroutine ctgexc (WANTQ, WANTZ, N, A, LDA, B, LDB, Q, LDQ, Z, LDZ, IFST, ILST, INFO) CTGEXC Function/Subroutine Documentation subroutine 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,…
NAME ctgex2.f – SYNOPSIS Functions/Subroutines subroutine 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 Documentation subroutine ctgex2 (logicalWANTQ, logicalWANTZ, integerN, complex, dimension( lda, * )A, integerLDA, complex, dimension( ldb, * )B,…
NAME ctgevc.f – SYNOPSIS Functions/Subroutines subroutine ctgevc (SIDE, HOWMNY, SELECT, N, S, LDS, P, LDP, VL, LDVL, VR, LDVR, MM, M, WORK, RWORK, INFO) CTGEVC Function/Subroutine Documentation subroutine ctgevc (characterSIDE, characterHOWMNY, logical, dimension( * )SELECT, integerN, complex, dimension( lds, * )S, integerLDS, complex, dimension( ldp, * )P, integerLDP, complex, dimension( ldvl, * )VL, integerLDVL, complex,…
NAME ctfttr.f – SYNOPSIS Functions/Subroutines subroutine 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 Documentation subroutine ctfttr (characterTRANSR, characterUPLO, integerN, complex, dimension( 0: * )ARF, complex, dimension( 0: lda-1, 0: * )A, integerLDA, integerINFO) CTFTTR copies…
NAME ctfttp.f – SYNOPSIS Functions/Subroutines subroutine 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 Documentation subroutine ctfttp (characterTRANSR, characterUPLO, integerN, complex, dimension( 0: * )ARF, complex, dimension( 0: * )AP, integerINFO) CTFTTP copies a triangular matrix from…
NAME ctftri.f – SYNOPSIS Functions/Subroutines subroutine ctftri (TRANSR, UPLO, DIAG, N, A, INFO) CTFTRI Function/Subroutine Documentation subroutine 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:…
NAME ctfsm.f – SYNOPSIS Functions/Subroutines subroutine 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 Documentation subroutine ctfsm (characterTRANSR, characterSIDE, characterUPLO, characterTRANS, characterDIAG, integerM, integerN, complexALPHA, complex, dimension( 0: * )A, complex, dimension( 0: ldb-1, 0: *…
NAME ctbtrs.f – SYNOPSIS Functions/Subroutines subroutine ctbtrs (UPLO, TRANS, DIAG, N, KD, NRHS, AB, LDAB, B, LDB, INFO) CTBTRS Function/Subroutine Documentation subroutine 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…
NAME ctbsv.f – SYNOPSIS Functions/Subroutines subroutine ctbsv (UPLO, TRANS, DIAG, N, K, A, LDA, X, INCX) CTBSV Function/Subroutine Documentation subroutine 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…
NAME ctbrfs.f – SYNOPSIS Functions/Subroutines subroutine ctbrfs (UPLO, TRANS, DIAG, N, KD, NRHS, AB, LDAB, B, LDB, X, LDX, FERR, BERR, WORK, RWORK, INFO) CTBRFS Function/Subroutine Documentation subroutine ctbrfs (characterUPLO, characterTRANS, characterDIAG, integerN, integerKD, integerNRHS, complex, dimension( ldab, * )AB, integerLDAB, complex, dimension( ldb, * )B, integerLDB, complex, dimension( ldx, * )X, integerLDX, real, dimension(…
NAME ctbmv.f – SYNOPSIS Functions/Subroutines subroutine ctbmv (UPLO, TRANS, DIAG, N, K, A, LDA, X, INCX) CTBMV Function/Subroutine Documentation subroutine ctbmv (characterUPLO, characterTRANS, characterDIAG, integerN, integerK, complex, dimension(lda,*)A, integerLDA, complex, dimension(*)X, integerINCX) CTBMV Purpose: CTBMV performs one of the matrix-vector operations x := A*x, or x := A**T*x, or x := A**H*x, where x is…
NAME ctbcon.f – SYNOPSIS Functions/Subroutines subroutine ctbcon (NORM, UPLO, DIAG, N, KD, AB, LDAB, RCOND, WORK, RWORK, INFO) CTBCON Function/Subroutine Documentation subroutine ctbcon (characterNORM, characterUPLO, characterDIAG, integerN, integerKD, complex, dimension( ldab, * )AB, integerLDAB, realRCOND, complex, dimension( * )WORK, real, dimension( * )RWORK, integerINFO) CTBCON Purpose: CTBCON estimates the reciprocal of the condition number of…
NAME csytrs2.f – SYNOPSIS Functions/Subroutines subroutine csytrs2 (UPLO, N, NRHS, A, LDA, IPIV, B, LDB, WORK, INFO) CSYTRS2 Function/Subroutine Documentation subroutine csytrs2 (characterUPLO, integerN, integerNRHS, complex, dimension( lda, * )A, integerLDA, integer, dimension( * )IPIV, complex, dimension( ldb, * )B, integerLDB, complex, dimension( * )WORK, integerINFO) CSYTRS2 Purpose: CSYTRS2 solves a system of linear equations…
NAME csytrs.f – SYNOPSIS Functions/Subroutines subroutine csytrs (UPLO, N, NRHS, A, LDA, IPIV, B, LDB, INFO) CSYTRS Function/Subroutine Documentation subroutine csytrs (characterUPLO, integerN, integerNRHS, complex, dimension( lda, * )A, integerLDA, integer, dimension( * )IPIV, complex, dimension( ldb, * )B, integerLDB, integerINFO) CSYTRS Purpose: CSYTRS solves a system of linear equations A*X = B with a…
NAME csytri2x.f – SYNOPSIS Functions/Subroutines subroutine csytri2x (UPLO, N, A, LDA, IPIV, WORK, NB, INFO) CSYTRI2X Function/Subroutine Documentation subroutine csytri2x (characterUPLO, integerN, complex, dimension( lda, * )A, integerLDA, integer, dimension( * )IPIV, complex, dimension( n+nb+1,* )WORK, integerNB, integerINFO) CSYTRI2X Purpose: CSYTRI2X computes the inverse of a real symmetric indefinite matrix A using the factorization A…
NAME csytri2.f – SYNOPSIS Functions/Subroutines subroutine csytri2 (UPLO, N, A, LDA, IPIV, WORK, LWORK, INFO) CSYTRI2 Function/Subroutine Documentation subroutine csytri2 (characterUPLO, integerN, complex, dimension( lda, * )A, integerLDA, integer, dimension( * )IPIV, complex, dimension( * )WORK, integerLWORK, integerINFO) CSYTRI2 Purpose: CSYTRI2 computes the inverse of a COMPLEX symmetric indefinite matrix A using the factorization A…