Section 3: library functions
NAME ctrsen.f – SYNOPSIS Functions/Subroutines subroutine ctrsen (JOB, COMPQ, SELECT, N, T, LDT, Q, LDQ, W, M, S, SEP, WORK, LWORK, INFO) CTRSEN Function/Subroutine Documentation subroutine ctrsen (characterJOB, characterCOMPQ, logical, dimension( * )SELECT, integerN, complex, dimension( ldt, * )T, integerLDT, complex, dimension( ldq, * )Q, integerLDQ, complex, dimension( * )W, integerM, realS, realSEP, complex, dimension(…
NAME ctrrfs.f – SYNOPSIS Functions/Subroutines subroutine ctrrfs (UPLO, TRANS, DIAG, N, NRHS, A, LDA, B, LDB, X, LDX, FERR, BERR, WORK, RWORK, INFO) CTRRFS Function/Subroutine Documentation subroutine ctrrfs (characterUPLO, characterTRANS, characterDIAG, integerN, integerNRHS, complex, dimension( lda, * )A, integerLDA, complex, dimension( ldb, * )B, integerLDB, complex, dimension( ldx, * )X, integerLDX, real, dimension( * )FERR,…
NAME ctrmv.f – SYNOPSIS Functions/Subroutines subroutine ctrmv (UPLO, TRANS, DIAG, N, A, LDA, X, INCX) CTRMV Function/Subroutine Documentation subroutine ctrmv (characterUPLO, characterTRANS, characterDIAG, integerN, complex, dimension(lda,*)A, integerLDA, complex, dimension(*)X, integerINCX) CTRMV Purpose: CTRMV 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…
NAME ctrmm.f – SYNOPSIS Functions/Subroutines subroutine ctrmm (SIDE, UPLO, TRANSA, DIAG, M, N, ALPHA, A, LDA, B, LDB) CTRMM Function/Subroutine Documentation subroutine ctrmm (characterSIDE, characterUPLO, characterTRANSA, characterDIAG, integerM, integerN, complexALPHA, complex, dimension(lda,*)A, integerLDA, complex, dimension(ldb,*)B, integerLDB) CTRMM Purpose: CTRMM performs one of the matrix-matrix operations B := alpha*op( A )*B, or B := alpha*B*op( A…
NAME ctrexc.f – SYNOPSIS Functions/Subroutines subroutine ctrexc (COMPQ, N, T, LDT, Q, LDQ, IFST, ILST, INFO) CTREXC Function/Subroutine Documentation subroutine ctrexc (characterCOMPQ, integerN, complex, dimension( ldt, * )T, integerLDT, complex, dimension( ldq, * )Q, integerLDQ, integerIFST, integerILST, integerINFO) CTREXC Purpose: CTREXC reorders the Schur factorization of a complex matrix A = Q*T*Q**H, so that the…
NAME ctrevc.f – SYNOPSIS Functions/Subroutines subroutine ctrevc (SIDE, HOWMNY, SELECT, N, T, LDT, VL, LDVL, VR, LDVR, MM, M, WORK, RWORK, INFO) CTREVC Function/Subroutine Documentation subroutine ctrevc (characterSIDE, characterHOWMNY, logical, dimension( * )SELECT, integerN, complex, dimension( ldt, * )T, integerLDT, complex, dimension( ldvl, * )VL, integerLDVL, complex, dimension( ldvr, * )VR, integerLDVR, integerMM, integerM, complex,…
NAME ctrcon.f – SYNOPSIS Functions/Subroutines subroutine ctrcon (NORM, UPLO, DIAG, N, A, LDA, RCOND, WORK, RWORK, INFO) CTRCON Function/Subroutine Documentation subroutine ctrcon (characterNORM, characterUPLO, characterDIAG, integerN, complex, dimension( lda, * )A, integerLDA, realRCOND, complex, dimension( * )WORK, real, dimension( * )RWORK, integerINFO) CTRCON Purpose: CTRCON estimates the reciprocal of the condition number of a triangular…
NAME ctpttr.f – SYNOPSIS Functions/Subroutines subroutine ctpttr (UPLO, N, AP, A, LDA, INFO) CTPTTR copies a triangular matrix from the standard packed format (TP) to the standard full format (TR). Function/Subroutine Documentation subroutine ctpttr (characterUPLO, integerN, complex, dimension( * )AP, complex, dimension( lda, * )A, integerLDA, integerINFO) CTPTTR copies a triangular matrix from the standard…
NAME ctpttf.f – SYNOPSIS Functions/Subroutines subroutine ctpttf (TRANSR, UPLO, N, AP, ARF, INFO) CTPTTF copies a triangular matrix from the standard packed format (TP) to the rectangular full packed format (TF). Function/Subroutine Documentation subroutine ctpttf (characterTRANSR, characterUPLO, integerN, complex, dimension( 0: * )AP, complex, dimension( 0: * )ARF, integerINFO) CTPTTF copies a triangular matrix from…
NAME ctptrs.f – SYNOPSIS Functions/Subroutines subroutine ctptrs (UPLO, TRANS, DIAG, N, NRHS, AP, B, LDB, INFO) CTPTRS Function/Subroutine Documentation subroutine ctptrs (characterUPLO, characterTRANS, characterDIAG, integerN, integerNRHS, complex, dimension( * )AP, complex, dimension( ldb, * )B, integerLDB, integerINFO) CTPTRS Purpose: CTPTRS solves a triangular system of the form A * X = B, A**T * X…
NAME ctptri.f – SYNOPSIS Functions/Subroutines subroutine ctptri (UPLO, DIAG, N, AP, INFO) CTPTRI Function/Subroutine Documentation subroutine ctptri (characterUPLO, characterDIAG, integerN, complex, dimension( * )AP, integerINFO) CTPTRI Purpose: CTPTRI computes the inverse of a complex upper or lower triangular matrix A stored in packed format. Parameters: UPLO UPLO is CHARACTER*1 = ‘U’: A is upper…
NAME ctpsv.f – SYNOPSIS Functions/Subroutines subroutine ctpsv (UPLO, TRANS, DIAG, N, AP, X, INCX) CTPSV Function/Subroutine Documentation subroutine ctpsv (characterUPLO, characterTRANS, characterDIAG, integerN, complex, dimension(*)AP, complex, dimension(*)X, integerINCX) CTPSV Purpose: CTPSV 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…
NAME ctprfs.f – SYNOPSIS Functions/Subroutines subroutine ctprfs (UPLO, TRANS, DIAG, N, NRHS, AP, B, LDB, X, LDX, FERR, BERR, WORK, RWORK, INFO) CTPRFS Function/Subroutine Documentation subroutine ctprfs (characterUPLO, characterTRANS, characterDIAG, integerN, integerNRHS, complex, dimension( * )AP, complex, dimension( ldb, * )B, integerLDB, complex, dimension( ldx, * )X, integerLDX, real, dimension( * )FERR, real, dimension( *…
NAME ctprfb.f – SYNOPSIS Functions/Subroutines subroutine 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 Documentation subroutine ctprfb (characterSIDE, characterTRANS, characterDIRECT, characterSTOREV, integerM,…
NAME ctpqrt2.f – SYNOPSIS Functions/Subroutines subroutine 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 Documentation subroutine ctpqrt2 (integerM, integerN, integerL, complex,…
NAME ctpqrt.f – SYNOPSIS Functions/Subroutines subroutine ctpqrt (M, N, L, NB, A, LDA, B, LDB, T, LDT, WORK, INFO) CTPQRT Function/Subroutine Documentation subroutine 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…
NAME ctpmv.f – SYNOPSIS Functions/Subroutines subroutine ctpmv (UPLO, TRANS, DIAG, N, AP, X, INCX) CTPMV Function/Subroutine Documentation subroutine 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…
NAME ctpmqrt.f – SYNOPSIS Functions/Subroutines subroutine ctpmqrt (SIDE, TRANS, M, N, K, L, NB, V, LDV, T, LDT, A, LDA, B, LDB, WORK, INFO) CTPMQRT Function/Subroutine Documentation subroutine ctpmqrt (characterSIDE, characterTRANS, integerM, integerN, integerK, integerL, integerNB, complex, dimension( ldv, * )V, integerLDV, complex, dimension( ldt, * )T, integerLDT, complex, dimension( lda, * )A, integerLDA, complex,…
NAME ctpcon.f – SYNOPSIS Functions/Subroutines subroutine ctpcon (NORM, UPLO, DIAG, N, AP, RCOND, WORK, RWORK, INFO) CTPCON Function/Subroutine Documentation subroutine 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,…
NAME ctgsyl.f – SYNOPSIS Functions/Subroutines subroutine 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 Documentation subroutine ctgsyl (characterTRANS, integerIJOB, integerM, integerN, complex, dimension( lda, * )A, integerLDA, complex, dimension( ldb, * )B, integerLDB, complex, dimension( ldc, * )C,…