Section 3: library functions
NAME cungql.f – SYNOPSIS Functions/Subroutines subroutine cungql (M, N, K, A, LDA, TAU, WORK, LWORK, INFO) CUNGQL Function/Subroutine Documentation subroutine cungql (integerM, integerN, integerK, complex, dimension( lda, * )A, integerLDA, complex, dimension( * )TAU, complex, dimension( * )WORK, integerLWORK, integerINFO) CUNGQL Purpose: CUNGQL generates an M-by-N complex matrix Q with orthonormal columns, which is defined…
NAME cunglq.f – SYNOPSIS Functions/Subroutines subroutine cunglq (M, N, K, A, LDA, TAU, WORK, LWORK, INFO) CUNGLQ Function/Subroutine Documentation subroutine cunglq (integerM, integerN, integerK, complex, dimension( lda, * )A, integerLDA, complex, dimension( * )TAU, complex, dimension( * )WORK, integerLWORK, integerINFO) CUNGLQ Purpose: CUNGLQ generates an M-by-N complex matrix Q with orthonormal rows, which is defined…
NAME cungl2.f – SYNOPSIS Functions/Subroutines subroutine cungl2 (M, N, K, A, LDA, TAU, WORK, INFO) CUNGL2 generates all or part of the unitary matrix Q from an LQ factorization determined by cgelqf (unblocked algorithm). Function/Subroutine Documentation subroutine cungl2 (integerM, integerN, integerK, complex, dimension( lda, * )A, integerLDA, complex, dimension( * )TAU, complex, dimension( * )WORK,…
NAME cunghr.f – SYNOPSIS Functions/Subroutines subroutine cunghr (N, ILO, IHI, A, LDA, TAU, WORK, LWORK, INFO) CUNGHR Function/Subroutine Documentation subroutine cunghr (integerN, integerILO, integerIHI, complex, dimension( lda, * )A, integerLDA, complex, dimension( * )TAU, complex, dimension( * )WORK, integerLWORK, integerINFO) CUNGHR Purpose: CUNGHR generates a complex unitary matrix Q which is defined as the product…
NAME cungbr.f – SYNOPSIS Functions/Subroutines subroutine cungbr (VECT, M, N, K, A, LDA, TAU, WORK, LWORK, INFO) CUNGBR Function/Subroutine Documentation subroutine cungbr (characterVECT, integerM, integerN, integerK, complex, dimension( lda, * )A, integerLDA, complex, dimension( * )TAU, complex, dimension( * )WORK, integerLWORK, integerINFO) CUNGBR Purpose: CUNGBR generates one of the complex unitary matrices Q or P…
NAME cung2r.f – SYNOPSIS Functions/Subroutines subroutine cung2r (M, N, K, A, LDA, TAU, WORK, INFO) CUNG2R Function/Subroutine Documentation subroutine cung2r (integerM, integerN, integerK, complex, dimension( lda, * )A, integerLDA, complex, dimension( * )TAU, complex, dimension( * )WORK, integerINFO) CUNG2R Purpose: CUNG2R generates an m by n complex matrix Q with orthonormal columns, which is defined…
NAME cung2l.f – SYNOPSIS Functions/Subroutines subroutine cung2l (M, N, K, A, LDA, TAU, WORK, INFO) CUNG2L generates all or part of the unitary matrix Q from a QL factorization determined by cgeqlf (unblocked algorithm). Function/Subroutine Documentation subroutine cung2l (integerM, integerN, integerK, complex, dimension( lda, * )A, integerLDA, complex, dimension( * )TAU, complex, dimension( * )WORK,…
NAME cuncsd.f – SYNOPSIS Functions/Subroutines recursive subroutine cuncsd (JOBU1, JOBU2, JOBV1T, JOBV2T, TRANS, SIGNS, M, P, Q, X11, LDX11, X12, LDX12, X21, LDX21, X22, LDX22, THETA, U1, LDU1, U2, LDU2, V1T, LDV1T, V2T, LDV2T, WORK, LWORK, RWORK, LRWORK, IWORK, INFO) CUNCSD Function/Subroutine Documentation recursive subroutine cuncsd (characterJOBU1, characterJOBU2, characterJOBV1T, characterJOBV2T, characterTRANS, characterSIGNS, integerM, integerP, integerQ,…
NAME cunbdb.f – SYNOPSIS Functions/Subroutines subroutine cunbdb (TRANS, SIGNS, M, P, Q, X11, LDX11, X12, LDX12, X21, LDX21, X22, LDX22, THETA, PHI, TAUP1, TAUP2, TAUQ1, TAUQ2, WORK, LWORK, INFO) CUNBDB Function/Subroutine Documentation subroutine cunbdb (characterTRANS, characterSIGNS, integerM, integerP, integerQ, complex, dimension( ldx11, * )X11, integerLDX11, complex, dimension( ldx12, * )X12, integerLDX12, complex, dimension( ldx21, *…
NAME ctzrzf.f – SYNOPSIS Functions/Subroutines subroutine ctzrzf (M, N, A, LDA, TAU, WORK, LWORK, INFO) CTZRZF Function/Subroutine Documentation subroutine ctzrzf (integerM, integerN, complex, dimension( lda, * )A, integerLDA, complex, dimension( * )TAU, complex, dimension( * )WORK, integerLWORK, integerINFO) CTZRZF Purpose: CTZRZF reduces the M-by-N ( M<=N ) complex upper trapezoidal matrix A to upper triangular…
NAME ctzrqf.f – SYNOPSIS Functions/Subroutines subroutine ctzrqf (M, N, A, LDA, TAU, INFO) CTZRQF Function/Subroutine Documentation subroutine ctzrqf (integerM, integerN, complex, dimension( lda, * )A, integerLDA, complex, dimension( * )TAU, integerINFO) CTZRQF Purpose: This routine is deprecated and has been replaced by routine CTZRZF. CTZRQF reduces the M-by-N ( M<=N ) complex upper trapezoidal matrix…
NAME ctrttp.f – SYNOPSIS Functions/Subroutines subroutine ctrttp (UPLO, N, A, LDA, AP, INFO) CTRTTP copies a triangular matrix from the standard full format (TR) to the standard packed format (TP). Function/Subroutine Documentation subroutine ctrttp (characterUPLO, integerN, complex, dimension( lda, * )A, integerLDA, complex, dimension( * )AP, integerINFO) CTRTTP copies a triangular matrix from the standard…
NAME ctrttf.f – SYNOPSIS Functions/Subroutines subroutine ctrttf (TRANSR, UPLO, N, A, LDA, ARF, INFO) CTRTTF copies a triangular matrix from the standard full format (TR) to the rectangular full packed format (TF). Function/Subroutine Documentation subroutine ctrttf (characterTRANSR, characterUPLO, integerN, complex, dimension( 0: lda-1, 0: * )A, integerLDA, complex, dimension( 0: * )ARF, integerINFO) CTRTTF copies…
NAME ctrtrs.f – SYNOPSIS Functions/Subroutines subroutine ctrtrs (UPLO, TRANS, DIAG, N, NRHS, A, LDA, B, LDB, INFO) CTRTRS Function/Subroutine Documentation subroutine ctrtrs (characterUPLO, characterTRANS, characterDIAG, integerN, integerNRHS, complex, dimension( lda, * )A, integerLDA, complex, dimension( ldb, * )B, integerLDB, integerINFO) CTRTRS Purpose: CTRTRS solves a triangular system of the form A * X = B,…
NAME ctrtri.f – SYNOPSIS Functions/Subroutines subroutine ctrtri (UPLO, DIAG, N, A, LDA, INFO) CTRTRI Function/Subroutine Documentation subroutine ctrtri (characterUPLO, characterDIAG, integerN, complex, dimension( lda, * )A, integerLDA, integerINFO) CTRTRI Purpose: CTRTRI computes the inverse of a complex upper or lower triangular matrix A. This is the Level 3 BLAS version of the algorithm. Parameters:…
NAME ctrti2.f – SYNOPSIS Functions/Subroutines subroutine ctrti2 (UPLO, DIAG, N, A, LDA, INFO) CTRTI2 computes the inverse of a triangular matrix (unblocked algorithm). Function/Subroutine Documentation subroutine ctrti2 (characterUPLO, characterDIAG, integerN, complex, dimension( lda, * )A, integerLDA, integerINFO) CTRTI2 computes the inverse of a triangular matrix (unblocked algorithm). Purpose: CTRTI2 computes the inverse of a complex…
NAME ctrsyl.f – SYNOPSIS Functions/Subroutines subroutine ctrsyl (TRANA, TRANB, ISGN, M, N, A, LDA, B, LDB, C, LDC, SCALE, INFO) CTRSYL Function/Subroutine Documentation subroutine ctrsyl (characterTRANA, characterTRANB, integerISGN, integerM, integerN, complex, dimension( lda, * )A, integerLDA, complex, dimension( ldb, * )B, integerLDB, complex, dimension( ldc, * )C, integerLDC, realSCALE, integerINFO) CTRSYL Purpose: CTRSYL solves the…
NAME ctrsv.f – SYNOPSIS Functions/Subroutines subroutine ctrsv (UPLO, TRANS, DIAG, N, A, LDA, X, INCX) CTRSV Function/Subroutine Documentation subroutine ctrsv (characterUPLO, characterTRANS, characterDIAG, integerN, complex, dimension(lda,*)A, integerLDA, complex, dimension(*)X, integerINCX) CTRSV Purpose: CTRSV solves one of the systems of equations A*x = b, or A**T*x = b, or A**H*x = b, where b and x…
NAME ctrsna.f – SYNOPSIS Functions/Subroutines subroutine ctrsna (JOB, HOWMNY, SELECT, N, T, LDT, VL, LDVL, VR, LDVR, S, SEP, MM, M, WORK, LDWORK, RWORK, INFO) CTRSNA Function/Subroutine Documentation subroutine ctrsna (characterJOB, characterHOWMNY, logical, dimension( * )SELECT, integerN, complex, dimension( ldt, * )T, integerLDT, complex, dimension( ldvl, * )VL, integerLDVL, complex, dimension( ldvr, * )VR, integerLDVR,…
NAME ctrsm.f – SYNOPSIS Functions/Subroutines subroutine ctrsm (SIDE, UPLO, TRANSA, DIAG, M, N, ALPHA, A, LDA, B, LDB) CTRSM Function/Subroutine Documentation subroutine ctrsm (characterSIDE, characterUPLO, characterTRANSA, characterDIAG, integerM, integerN, complexALPHA, complex, dimension(lda,*)A, integerLDA, complex, dimension(ldb,*)B, integerLDB) CTRSM Purpose: CTRSM solves one of the matrix equations op( A )*X = alpha*B, or X*op( A ) =…