Section 3: library functions
cgeqr2.f – SynopsisFunctions/Subroutinessubroutine cgeqr2 (M, N, A, LDA, TAU, WORK, INFO) CGEQR2 computes the QR factorization of a general rectangular matrix using an unblocked algorithm. Function/Subroutine Documentationsubroutine cgeqr2 (integerM, integerN, complex, dimension( lda, * )A, integerLDA, complex, dimension( * )TAU, complex, dimension( * )WORK, integerINFO)CGEQR2 computes the QR factorization of a general rectangular matrix using…
cgeqpf.f – SynopsisFunctions/Subroutinessubroutine cgeqpf (M, N, A, LDA, JPVT, TAU, WORK, RWORK, INFO) CGEQPF Function/Subroutine Documentationsubroutine cgeqpf (integerM, integerN, complex, dimension( lda, * )A, integerLDA, integer, dimension( * )JPVT, complex, dimension( * )TAU, complex, dimension( * )WORK, real, dimension( * )RWORK, integerINFO)CGEQPF Purpose: This routine is deprecated and has been replaced by routine CGEQP3. CGEQPF…
cgeqp3.f – SynopsisFunctions/Subroutinessubroutine cgeqp3 (M, N, A, LDA, JPVT, TAU, WORK, LWORK, RWORK, INFO) CGEQP3 Function/Subroutine Documentationsubroutine cgeqp3 (integerM, integerN, complex, dimension( lda, * )A, integerLDA, integer, dimension( * )JPVT, complex, dimension( * )TAU, complex, dimension( * )WORK, integerLWORK, real, dimension( * )RWORK, integerINFO)CGEQP3 Purpose: CGEQP3 computes a QR factorization with column pivoting of a…
cgeqlf.f – SynopsisFunctions/Subroutinessubroutine cgeqlf (M, N, A, LDA, TAU, WORK, LWORK, INFO) CGEQLF Function/Subroutine Documentationsubroutine cgeqlf (integerM, integerN, complex, dimension( lda, * )A, integerLDA, complex, dimension( * )TAU, complex, dimension( * )WORK, integerLWORK, integerINFO)CGEQLF Purpose: CGEQLF computes a QL factorization of a complex M-by-N matrix A: A = Q * L. Parameters: M M is…
cgeql2.f – SynopsisFunctions/Subroutinessubroutine cgeql2 (M, N, A, LDA, TAU, WORK, INFO) CGEQL2 computes the QL factorization of a general rectangular matrix using an unblocked algorithm. Function/Subroutine Documentationsubroutine cgeql2 (integerM, integerN, complex, dimension( lda, * )A, integerLDA, complex, dimension( * )TAU, complex, dimension( * )WORK, integerINFO)CGEQL2 computes the QL factorization of a general rectangular matrix using…
cgemv.f – SynopsisFunctions/Subroutinessubroutine cgemv (TRANS, M, N, ALPHA, A, LDA, X, INCX, BETA, Y, INCY) CGEMV Function/Subroutine Documentationsubroutine cgemv (characterTRANS, integerM, integerN, complexALPHA, complex, dimension(lda,*)A, integerLDA, complex, dimension(*)X, integerINCX, complexBETA, complex, dimension(*)Y, integerINCY)CGEMV Purpose: CGEMV performs one of the matrix-vector operations y := alpha*A*x + beta*y, or y := alpha*A**T*x + beta*y, or y :=…
cgemqrt.f – SynopsisFunctions/Subroutinessubroutine cgemqrt (SIDE, TRANS, M, N, K, NB, V, LDV, T, LDT, C, LDC, WORK, INFO) CGEMQRT Function/Subroutine Documentationsubroutine cgemqrt (characterSIDE, characterTRANS, integerM, integerN, integerK, integerNB, complex, dimension( ldv, * )V, integerLDV, complex, dimension( ldt, * )T, integerLDT, complex, dimension( ldc, * )C, integerLDC, complex, dimension( * )WORK, integerINFO)CGEMQRT Purpose: CGEMQRT overwrites the…
cgemm.f – SynopsisFunctions/Subroutinessubroutine cgemm (TRANSA, TRANSB, M, N, K, ALPHA, A, LDA, B, LDB, BETA, C, LDC) CGEMM Function/Subroutine Documentationsubroutine cgemm (characterTRANSA, characterTRANSB, integerM, integerN, integerK, complexALPHA, complex, dimension(lda,*)A, integerLDA, complex, dimension(ldb,*)B, integerLDB, complexBETA, complex, dimension(ldc,*)C, integerLDC)CGEMM Purpose: CGEMM performs one of the matrix-matrix operations C := alpha*op( A )*op( B ) + beta*C, where…
cgelsy.f – SynopsisFunctions/Subroutinessubroutine cgelsy (M, N, NRHS, A, LDA, B, LDB, JPVT, RCOND, RANK, WORK, LWORK, RWORK, INFO) CGELSY solves overdetermined or underdetermined systems for GE matrices Function/Subroutine Documentationsubroutine cgelsy (integerM, integerN, integerNRHS, complex, dimension( lda, * )A, integerLDA, complex, dimension( ldb, * )B, integerLDB, integer, dimension( * )JPVT, realRCOND, integerRANK, complex, dimension( * )WORK,…
cgelsx.f – SynopsisFunctions/Subroutinessubroutine cgelsx (M, N, NRHS, A, LDA, B, LDB, JPVT, RCOND, RANK, WORK, RWORK, INFO) CGELSX solves overdetermined or underdetermined systems for GE matrices Function/Subroutine Documentationsubroutine cgelsx (integerM, integerN, integerNRHS, complex, dimension( lda, * )A, integerLDA, complex, dimension( ldb, * )B, integerLDB, integer, dimension( * )JPVT, realRCOND, integerRANK, complex, dimension( * )WORK, real,…
cgelss.f – SynopsisFunctions/Subroutinessubroutine cgelss (M, N, NRHS, A, LDA, B, LDB, S, RCOND, RANK, WORK, LWORK, RWORK, INFO) CGELSS solves overdetermined or underdetermined systems for GE matrices Function/Subroutine Documentationsubroutine cgelss (integerM, integerN, integerNRHS, complex, dimension( lda, * )A, integerLDA, complex, dimension( ldb, * )B, integerLDB, real, dimension( * )S, realRCOND, integerRANK, complex, dimension( * )WORK,…
cgelsd.f – SynopsisFunctions/Subroutinessubroutine cgelsd (M, N, NRHS, A, LDA, B, LDB, S, RCOND, RANK, WORK, LWORK, RWORK, IWORK, INFO) CGELSD computes the minimum-norm solution to a linear least squares problem for GE matrices Function/Subroutine Documentationsubroutine cgelsd (integerM, integerN, integerNRHS, complex, dimension( lda, * )A, integerLDA, complex, dimension( ldb, * )B, integerLDB, real, dimension( * )S,…
cgels.f – SynopsisFunctions/Subroutinessubroutine cgels (TRANS, M, N, NRHS, A, LDA, B, LDB, WORK, LWORK, INFO) CGELS solves overdetermined or underdetermined systems for GE matrices Function/Subroutine Documentationsubroutine cgels (characterTRANS, integerM, integerN, integerNRHS, complex, dimension( lda, * )A, integerLDA, complex, dimension( ldb, * )B, integerLDB, complex, dimension( * )WORK, integerLWORK, integerINFO) CGELS solves overdetermined or underdetermined systems…
cgelqf.f – SynopsisFunctions/Subroutinessubroutine cgelqf (M, N, A, LDA, TAU, WORK, LWORK, INFO) CGELQF Function/Subroutine Documentationsubroutine cgelqf (integerM, integerN, complex, dimension( lda, * )A, integerLDA, complex, dimension( * )TAU, complex, dimension( * )WORK, integerLWORK, integerINFO)CGELQF Purpose: CGELQF computes an LQ factorization of a complex M-by-N matrix A: A = L * Q. Parameters: M M is…
cgelq2.f – SynopsisFunctions/Subroutinessubroutine cgelq2 (M, N, A, LDA, TAU, WORK, INFO) CGELQ2 computes the LQ factorization of a general rectangular matrix using an unblocked algorithm. Function/Subroutine Documentationsubroutine cgelq2 (integerM, integerN, complex, dimension( lda, * )A, integerLDA, complex, dimension( * )TAU, complex, dimension( * )WORK, integerINFO)CGELQ2 computes the LQ factorization of a general rectangular matrix using…
cgehrd.f – SynopsisFunctions/Subroutinessubroutine cgehrd (N, ILO, IHI, A, LDA, TAU, WORK, LWORK, INFO) CGEHRD Function/Subroutine Documentationsubroutine cgehrd (integerN, integerILO, integerIHI, complex, dimension( lda, * )A, integerLDA, complex, dimension( * )TAU, complex, dimension( * )WORK, integerLWORK, integerINFO)CGEHRD Purpose: CGEHRD reduces a complex general matrix A to upper Hessenberg form H by an unitary similarity transformation: Q**H…
cgehd2.f – SynopsisFunctions/Subroutinessubroutine cgehd2 (N, ILO, IHI, A, LDA, TAU, WORK, INFO) CGEHD2 reduces a general square matrix to upper Hessenberg form using an unblocked algorithm. Function/Subroutine Documentationsubroutine cgehd2 (integerN, integerILO, integerIHI, complex, dimension( lda, * )A, integerLDA, complex, dimension( * )TAU, complex, dimension( * )WORK, integerINFO)CGEHD2 reduces a general square matrix to upper Hessenberg…
cgegv.f – SynopsisFunctions/Subroutinessubroutine cgegv (JOBVL, JOBVR, N, A, LDA, B, LDB, ALPHA, BETA, VL, LDVL, VR, LDVR, WORK, LWORK, RWORK, INFO) CGEEVX computes the eigenvalues and, optionally, the left and/or right eigenvectors for GE matrices Function/Subroutine Documentationsubroutine cgegv (characterJOBVL, characterJOBVR, integerN, complex, dimension( lda, * )A, integerLDA, complex, dimension( ldb, * )B, integerLDB, complex, dimension(…
cgegs.f – SynopsisFunctions/Subroutinessubroutine cgegs (JOBVSL, JOBVSR, N, A, LDA, B, LDB, ALPHA, BETA, VSL, LDVSL, VSR, LDVSR, WORK, LWORK, RWORK, INFO) CGEEVX computes the eigenvalues and, optionally, the left and/or right eigenvectors for GE matrices Function/Subroutine Documentationsubroutine cgegs (characterJOBVSL, characterJOBVSR, integerN, complex, dimension( lda, * )A, integerLDA, complex, dimension( ldb, * )B, integerLDB, complex, dimension(…
cgeevx.f – SynopsisFunctions/Subroutinessubroutine cgeevx (BALANC, JOBVL, JOBVR, SENSE, N, A, LDA, W, VL, LDVL, VR, LDVR, ILO, IHI, SCALE, ABNRM, RCONDE, RCONDV, WORK, LWORK, RWORK, INFO) CGEEVX computes the eigenvalues and, optionally, the left and/or right eigenvectors for GE matrices Function/Subroutine Documentationsubroutine cgeevx (characterBALANC, characterJOBVL, characterJOBVR, characterSENSE, integerN, complex, dimension( lda, * )A, integerLDA, complex,…