Section 3: library functions
cgelsx.f – Synopsis Functions/Subroutines subroutine 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 Documentation subroutine cgelsx (integerM, integerN, integerNRHS, complex, dimension( lda, * )A, integerLDA, complex, dimension( ldb, * )B, integerLDB, integer, dimension( * )JPVT, realRCOND, integerRANK, complex, dimension(…
cgelss.f – Synopsis Functions/Subroutines subroutine 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 Documentation subroutine cgelss (integerM, integerN, integerNRHS, complex, dimension( lda, * )A, integerLDA, complex, dimension( ldb, * )B, integerLDB, real, dimension( * )S, realRCOND, integerRANK, complex,…
cgelsd.f – Synopsis Functions/Subroutines subroutine 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 Documentation subroutine cgelsd (integerM, integerN, integerNRHS, complex, dimension( lda, * )A, integerLDA, complex, dimension( ldb, * )B, integerLDB, real,…
cgels.f – Synopsis Functions/Subroutines subroutine cgels (TRANS, M, N, NRHS, A, LDA, B, LDB, WORK, LWORK, INFO) CGELS solves overdetermined or underdetermined systems for GE matrices Function/Subroutine Documentation subroutine cgels (characterTRANS, integerM, integerN, integerNRHS, complex, dimension( lda, * )A, integerLDA, complex, dimension( ldb, * )B, integerLDB, complex, dimension( * )WORK, integerLWORK, integerINFO) CGELS solves overdetermined…
cgelqf.f – Synopsis Functions/Subroutines subroutine cgelqf (M, N, A, LDA, TAU, WORK, LWORK, INFO) CGELQF Function/Subroutine Documentation subroutine 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….
cgelq2.f – Synopsis Functions/Subroutines subroutine cgelq2 (M, N, A, LDA, TAU, WORK, INFO) CGELQ2 computes the LQ factorization of a general rectangular matrix using an unblocked algorithm. Function/Subroutine Documentation subroutine cgelq2 (integerM, integerN, complex, dimension( lda, * )A, integerLDA, complex, dimension( * )TAU, complex, dimension( * )WORK, integerINFO) CGELQ2 computes the LQ factorization of a…
cgehrd.f – Synopsis Functions/Subroutines subroutine cgehrd (N, ILO, IHI, A, LDA, TAU, WORK, LWORK, INFO) CGEHRD Function/Subroutine Documentation subroutine 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…
cgehd2.f – Synopsis Functions/Subroutines subroutine 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 Documentation subroutine cgehd2 (integerN, integerILO, integerIHI, complex, dimension( lda, * )A, integerLDA, complex, dimension( * )TAU, complex, dimension( * )WORK, integerINFO) CGEHD2 reduces a general square…
cgegv.f – Synopsis Functions/Subroutines subroutine 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 Documentation subroutine cgegv (characterJOBVL, characterJOBVR, integerN, complex, dimension( lda, * )A, integerLDA, complex, dimension( ldb, * )B,…
cgegs.f – Synopsis Functions/Subroutines subroutine 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 Documentation subroutine cgegs (characterJOBVSL, characterJOBVSR, integerN, complex, dimension( lda, * )A, integerLDA, complex, dimension( ldb, * )B,…
cgeevx.f – Synopsis Functions/Subroutines subroutine 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 Documentation subroutine cgeevx (characterBALANC, characterJOBVL, characterJOBVR, characterSENSE, integerN, complex, dimension( lda, *…
cgeev.f – Synopsis Functions/Subroutines subroutine cgeev (JOBVL, JOBVR, N, A, LDA, W, VL, LDVL, VR, LDVR, WORK, LWORK, RWORK, INFO) CGEEV computes the eigenvalues and, optionally, the left and/or right eigenvectors for GE matrices Function/Subroutine Documentation subroutine cgeev (characterJOBVL, characterJOBVR, integerN, complex, dimension( lda, * )A, integerLDA, complex, dimension( * )W, complex, dimension( ldvl, *…
cgeesx.f – Synopsis Functions/Subroutines subroutine cgeesx (JOBVS, SORT, SELECT, SENSE, N, A, LDA, SDIM, W, VS, LDVS, RCONDE, RCONDV, WORK, LWORK, RWORK, BWORK, INFO) CGEESX computes the eigenvalues, the Schur form, and, optionally, the matrix of Schur vectors for GE matrices Function/Subroutine Documentation subroutine cgeesx (characterJOBVS, characterSORT, logical, externalSELECT, characterSENSE, integerN, complex, dimension( lda, *…
cgees.f – Synopsis Functions/Subroutines subroutine cgees (JOBVS, SORT, SELECT, N, A, LDA, SDIM, W, VS, LDVS, WORK, LWORK, RWORK, BWORK, INFO) CGEES computes the eigenvalues, the Schur form, and, optionally, the matrix of Schur vectors for GE matrices Function/Subroutine Documentation subroutine cgees (characterJOBVS, characterSORT, logical, externalSELECT, integerN, complex, dimension( lda, * )A, integerLDA, integerSDIM, complex,…
cgeequb.f – Synopsis Functions/Subroutines subroutine cgeequb (M, N, A, LDA, R, C, ROWCND, COLCND, AMAX, INFO) CGEEQUB Function/Subroutine Documentation subroutine cgeequb (integerM, integerN, complex, dimension( lda, * )A, integerLDA, real, dimension( * )R, real, dimension( * )C, realROWCND, realCOLCND, realAMAX, integerINFO) CGEEQUB Purpose: CGEEQUB computes row and column scalings intended to equilibrate an M-by-N matrix…
cgeequ.f – Synopsis Functions/Subroutines subroutine cgeequ (M, N, A, LDA, R, C, ROWCND, COLCND, AMAX, INFO) CGEEQU Function/Subroutine Documentation subroutine cgeequ (integerM, integerN, complex, dimension( lda, * )A, integerLDA, real, dimension( * )R, real, dimension( * )C, realROWCND, realCOLCND, realAMAX, integerINFO) CGEEQU Purpose: CGEEQU computes row and column scalings intended to equilibrate an M-by-N matrix…
cgecon.f – Synopsis Functions/Subroutines subroutine cgecon (NORM, N, A, LDA, ANORM, RCOND, WORK, RWORK, INFO) CGECON Function/Subroutine Documentation subroutine cgecon (characterNORM, integerN, complex, dimension( lda, * )A, integerLDA, realANORM, realRCOND, complex, dimension( * )WORK, real, dimension( * )RWORK, integerINFO) CGECON Purpose: CGECON estimates the reciprocal of the condition number of a general complex matrix A,…
cgebrd.f – Synopsis Functions/Subroutines subroutine cgebrd (M, N, A, LDA, D, E, TAUQ, TAUP, WORK, LWORK, INFO) CGEBRD Function/Subroutine Documentation subroutine cgebrd (integerM, integerN, complex, dimension( lda, * )A, integerLDA, real, dimension( * )D, real, dimension( * )E, complex, dimension( * )TAUQ, complex, dimension( * )TAUP, complex, dimension( * )WORK, integerLWORK, integerINFO) CGEBRD Purpose: CGEBRD…
cgebd2.f – Synopsis Functions/Subroutines subroutine cgebd2 (M, N, A, LDA, D, E, TAUQ, TAUP, WORK, INFO) CGEBD2 reduces a general matrix to bidiagonal form using an unblocked algorithm. Function/Subroutine Documentation subroutine cgebd2 (integerM, integerN, complex, dimension( lda, * )A, integerLDA, real, dimension( * )D, real, dimension( * )E, complex, dimension( * )TAUQ, complex, dimension( *…
cgebal.f – Synopsis Functions/Subroutines subroutine cgebal (JOB, N, A, LDA, ILO, IHI, SCALE, INFO) CGEBAL Function/Subroutine Documentation subroutine cgebal (characterJOB, integerN, complex, dimension( lda, * )A, integerLDA, integerILO, integerIHI, real, dimension( * )SCALE, integerINFO) CGEBAL Purpose: CGEBAL balances a general complex matrix A. This involves, first, permuting A by a similarity transformation to isolate eigenvalues…