Section 3: library functions
cgeqrf.f – SynopsisFunctions/Subroutinessubroutine cgeqrf (M, N, A, LDA, TAU, WORK, LWORK, INFO) CGEQRF Function/Subroutine Documentationsubroutine cgeqrf (integerM, integerN, complex, dimension( lda, * )A, integerLDA, complex, dimension( * )TAU, complex, dimension( * )WORK, integerLWORK, integerINFO)CGEQRF Purpose: CGEQRF computes a QR factorization of a complex M-by-N matrix A: A = Q * R. Parameters: M M is…
cgeqr2p.f – SynopsisFunctions/Subroutinessubroutine cgeqr2p (M, N, A, LDA, TAU, WORK, INFO) CGEQR2P computes the QR factorization of a general rectangular matrix with non-negative diagonal elements using an unblocked algorithm. Function/Subroutine Documentationsubroutine cgeqr2p (integerM, integerN, complex, dimension( lda, * )A, integerLDA, complex, dimension( * )TAU, complex, dimension( * )WORK, integerINFO)CGEQR2P computes the QR factorization of a…
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complex, dimension( * )WORK, real, dimension( * )RWORK, integerINFO)CGEQPF Purpose: This routine is deprecated and has been replaced by routine CGEQP3.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(…