Section 3: library functions
cunm2l.f – SynopsisFunctions/Subroutinessubroutine cunm2l (SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC, WORK, INFO) CUNM2L multiplies a general matrix by the unitary matrix from a QL factorization determined by cgeqlf (unblocked algorithm). Function/Subroutine Documentationsubroutine cunm2l (characterSIDE, characterTRANS, integerM, integerN, integerK, complex, dimension( lda, * )A, integerLDA, complex, dimension( * )TAU, complex, dimension( ldc,…
cungtr.f – SynopsisFunctions/Subroutinessubroutine cungtr (UPLO, N, A, LDA, TAU, WORK, LWORK, INFO) CUNGTR Function/Subroutine Documentationsubroutine cungtr (characterUPLO, integerN, complex, dimension( lda, * )A, integerLDA, complex, dimension( * )TAU, complex, dimension( * )WORK, integerLWORK, integerINFO)CUNGTR Purpose: CUNGTR generates a complex unitary matrix Q which is defined as the product of n-1 elementary reflectors of order N,…
cungrq.f – SynopsisFunctions/Subroutinessubroutine cungrq (M, N, K, A, LDA, TAU, WORK, LWORK, INFO) CUNGRQ Function/Subroutine Documentationsubroutine cungrq (integerM, integerN, integerK, complex, dimension( lda, * )A, integerLDA, complex, dimension( * )TAU, complex, dimension( * )WORK, integerLWORK, integerINFO)CUNGRQ Purpose: CUNGRQ generates an M-by-N complex matrix Q with orthonormal rows, which is defined as the last M rows…
cungr2.f – SynopsisFunctions/Subroutinessubroutine cungr2 (M, N, K, A, LDA, TAU, WORK, INFO) CUNGR2 generates all or part of the unitary matrix Q from an RQ factorization determined by cgerqf (unblocked algorithm). Function/Subroutine Documentationsubroutine cungr2 (integerM, integerN, integerK, complex, dimension( lda, * )A, integerLDA, complex, dimension( * )TAU, complex, dimension( * )WORK, integerINFO)CUNGR2 generates all or…
cungqr.f – SynopsisFunctions/Subroutinessubroutine cungqr (M, N, K, A, LDA, TAU, WORK, LWORK, INFO) CUNGQR Function/Subroutine Documentationsubroutine cungqr (integerM, integerN, integerK, complex, dimension( lda, * )A, integerLDA, complex, dimension( * )TAU, complex, dimension( * )WORK, integerLWORK, integerINFO)CUNGQR Purpose: CUNGQR generates an M-by-N complex matrix Q with orthonormal columns, which is defined as the first N columns…
cungql.f – SynopsisFunctions/Subroutinessubroutine cungql (M, N, K, A, LDA, TAU, WORK, LWORK, INFO) CUNGQL Function/Subroutine Documentationsubroutine 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 as the last N columns…
cunglq.f – SynopsisFunctions/Subroutinessubroutine cunglq (M, N, K, A, LDA, TAU, WORK, LWORK, INFO) CUNGLQ Function/Subroutine Documentationsubroutine 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 as the first M rows…
cungl2.f – SynopsisFunctions/Subroutinessubroutine 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 Documentationsubroutine cungl2 (integerM, integerN, integerK, complex, dimension( lda, * )A, integerLDA, complex, dimension( * )TAU, complex, dimension( * )WORK, integerINFO)CUNGL2 generates all or…
cunghr.f – SynopsisFunctions/Subroutinessubroutine cunghr (N, ILO, IHI, A, LDA, TAU, WORK, LWORK, INFO) CUNGHR Function/Subroutine Documentationsubroutine 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 of IHI-ILO elementary reflectors of…
cungbr.f – SynopsisFunctions/Subroutinessubroutine cungbr (VECT, M, N, K, A, LDA, TAU, WORK, LWORK, INFO) CUNGBR Function/Subroutine Documentationsubroutine 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**H determined by CGEBRD when reducing…
cung2r.f – SynopsisFunctions/Subroutinessubroutine cung2r (M, N, K, A, LDA, TAU, WORK, INFO) CUNG2R Function/Subroutine Documentationsubroutine 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 as the first n columns…
cung2l.f – SynopsisFunctions/Subroutinessubroutine 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 Documentationsubroutine cung2l (integerM, integerN, integerK, complex, dimension( lda, * )A, integerLDA, complex, dimension( * )TAU, complex, dimension( * )WORK, integerINFO)CUNG2L generates all or…
cuncsd.f – SynopsisFunctions/Subroutinesrecursive 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 Documentationrecursive subroutine cuncsd (characterJOBU1, characterJOBU2, characterJOBV1T, characterJOBV2T, characterTRANS, characterSIGNS, integerM, integerP, integerQ, complex, dimension( ldx11, *…
cunbdb.f – SynopsisFunctions/Subroutinessubroutine 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 Documentationsubroutine cunbdb (characterTRANS, characterSIGNS, integerM, integerP, integerQ, complex, dimension( ldx11, * )X11, integerLDX11, complex, dimension( ldx12, * )X12, integerLDX12, complex, dimension( ldx21, * )X21, integerLDX21, complex, dimension(…
ctzrzf.f – SynopsisFunctions/Subroutinessubroutine ctzrzf (M, N, A, LDA, TAU, WORK, LWORK, INFO) CTZRZF Function/Subroutine Documentationsubroutine 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 form by means of unitary…
ctzrqf.f – SynopsisFunctions/Subroutinessubroutine ctzrqf (M, N, A, LDA, TAU, INFO) CTZRQF Function/Subroutine Documentationsubroutine 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 A to upper triangular form…
ctrttp.f – SynopsisFunctions/Subroutinessubroutine 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 Documentationsubroutine ctrttp (characterUPLO, integerN, complex, dimension( lda, * )A, integerLDA, complex, dimension( * )AP, integerINFO)CTRTTP copies a triangular matrix from the standard full format (TR) to the…
ctrttf.f – SynopsisFunctions/Subroutinessubroutine 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 Documentationsubroutine ctrttf (characterTRANSR, characterUPLO, integerN, complex, dimension( 0: lda-1, 0: * )A, integerLDA, complex, dimension( 0: * )ARF, integerINFO)CTRTTF copies a triangular matrix from the…
ctrtrs.f – SynopsisFunctions/Subroutinessubroutine ctrtrs (UPLO, TRANS, DIAG, N, NRHS, A, LDA, B, LDB, INFO) CTRTRS Function/Subroutine Documentationsubroutine 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, A**T * X = B,…
ctrtri.f – SynopsisFunctions/Subroutinessubroutine ctrtri (UPLO, DIAG, N, A, LDA, INFO) CTRTRI Function/Subroutine Documentationsubroutine 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: UPLO UPLO is CHARACTER*1 = ‘U’:…