Section 3: library functions
sgeevx.f – SynopsisFunctions/Subroutinessubroutine sgeevx (BALANC, JOBVL, JOBVR, SENSE, N, A, LDA, WR, WI, VL, LDVL, VR, LDVR, ILO, IHI, SCALE, ABNRM, RCONDE, RCONDV, WORK, LWORK, IWORK, INFO) SGEEVX computes the eigenvalues and, optionally, the left and/or right eigenvectors for GE matrices Function/Subroutine Documentationsubroutine sgeevx (characterBALANC, characterJOBVL, characterJOBVR, characterSENSE, integerN, real, dimension( lda, * )A, integerLDA,…
sgeev.f – SynopsisFunctions/Subroutinessubroutine sgeev (JOBVL, JOBVR, N, A, LDA, WR, WI, VL, LDVL, VR, LDVR, WORK, LWORK, INFO) SGEEV computes the eigenvalues and, optionally, the left and/or right eigenvectors for GE matrices Function/Subroutine Documentationsubroutine sgeev (characterJOBVL, characterJOBVR, integerN, real, dimension( lda, * )A, integerLDA, real, dimension( * )WR, real, dimension( * )WI, real, dimension( ldvl,…
sgeesx.f – SynopsisFunctions/Subroutinessubroutine sgeesx (JOBVS, SORT, SELECT, SENSE, N, A, LDA, SDIM, WR, WI, VS, LDVS, RCONDE, RCONDV, WORK, LWORK, IWORK, LIWORK, BWORK, INFO) SGEESX computes the eigenvalues, the Schur form, and, optionally, the matrix of Schur vectors for GE matrices Function/Subroutine Documentationsubroutine sgeesx (characterJOBVS, characterSORT, logical, externalSELECT, characterSENSE, integerN, real, dimension( lda, * )A,…
sgees.f – SynopsisFunctions/Subroutinessubroutine sgees (JOBVS, SORT, SELECT, N, A, LDA, SDIM, WR, WI, VS, LDVS, WORK, LWORK, BWORK, INFO) SGEES computes the eigenvalues, the Schur form, and, optionally, the matrix of Schur vectors for GE matrices Function/Subroutine Documentationsubroutine sgees (characterJOBVS, characterSORT, logical, externalSELECT, integerN, real, dimension( lda, * )A, integerLDA, integerSDIM, real, dimension( * )WR,…
sgeequb.f – SynopsisFunctions/Subroutinessubroutine sgeequb (M, N, A, LDA, R, C, ROWCND, COLCND, AMAX, INFO) SGEEQUB Function/Subroutine Documentationsubroutine sgeequb (integerM, integerN, real, dimension( lda, * )A, integerLDA, real, dimension( * )R, real, dimension( * )C, realROWCND, realCOLCND, realAMAX, integerINFO)SGEEQUB Purpose: SGEEQUB computes row and column scalings intended to equilibrate an M-by-N matrix A and reduce its…
sgeequ.f – SynopsisFunctions/Subroutinessubroutine sgeequ (M, N, A, LDA, R, C, ROWCND, COLCND, AMAX, INFO) SGEEQU Function/Subroutine Documentationsubroutine sgeequ (integerM, integerN, real, dimension( lda, * )A, integerLDA, real, dimension( * )R, real, dimension( * )C, realROWCND, realCOLCND, realAMAX, integerINFO)SGEEQU Purpose: SGEEQU computes row and column scalings intended to equilibrate an M-by-N matrix A and reduce its…
sgecon.f – SynopsisFunctions/Subroutinessubroutine sgecon (NORM, N, A, LDA, ANORM, RCOND, WORK, IWORK, INFO) SGECON Function/Subroutine Documentationsubroutine sgecon (characterNORM, integerN, real, dimension( lda, * )A, integerLDA, realANORM, realRCOND, real, dimension( * )WORK, integer, dimension( * )IWORK, integerINFO)SGECON Purpose: SGECON estimates the reciprocal of the condition number of a general real matrix A, in either the 1-norm…
sgebrd.f – SynopsisFunctions/Subroutinessubroutine sgebrd (M, N, A, LDA, D, E, TAUQ, TAUP, WORK, LWORK, INFO) SGEBRD Function/Subroutine Documentationsubroutine sgebrd (integerM, integerN, real, dimension( lda, * )A, integerLDA, real, dimension( * )D, real, dimension( * )E, real, dimension( * )TAUQ, real, dimension( * )TAUP, real, dimension( * )WORK, integerLWORK, integerINFO)SGEBRD Purpose: SGEBRD reduces a general real…
sgebd2.f – SynopsisFunctions/Subroutinessubroutine sgebd2 (M, N, A, LDA, D, E, TAUQ, TAUP, WORK, INFO) SGEBD2 reduces a general matrix to bidiagonal form using an unblocked algorithm. Function/Subroutine Documentationsubroutine sgebd2 (integerM, integerN, real, dimension( lda, * )A, integerLDA, real, dimension( * )D, real, dimension( * )E, real, dimension( * )TAUQ, real, dimension( * )TAUP, real, dimension(…
sgebal.f – SynopsisFunctions/Subroutinessubroutine sgebal (JOB, N, A, LDA, ILO, IHI, SCALE, INFO) SGEBAL Function/Subroutine Documentationsubroutine sgebal (characterJOB, integerN, real, dimension( lda, * )A, integerLDA, integerILO, integerIHI, real, dimension( * )SCALE, integerINFO)SGEBAL Purpose: SGEBAL balances a general real matrix A. This involves, first, permuting A by a similarity transformation to isolate eigenvalues in the first 1…
sgebak.f – SynopsisFunctions/Subroutinessubroutine sgebak (JOB, SIDE, N, ILO, IHI, SCALE, M, V, LDV, INFO) SGEBAK Function/Subroutine Documentationsubroutine sgebak (characterJOB, characterSIDE, integerN, integerILO, integerIHI, real, dimension( * )SCALE, integerM, real, dimension( ldv, * )V, integerLDV, integerINFO)SGEBAK Purpose: SGEBAK forms the right or left eigenvectors of a real general matrix by backward transformation on the computed eigenvectors…
sgbtrs.f – SynopsisFunctions/Subroutinessubroutine sgbtrs (TRANS, N, KL, KU, NRHS, AB, LDAB, IPIV, B, LDB, INFO) SGBTRS Function/Subroutine Documentationsubroutine sgbtrs (characterTRANS, integerN, integerKL, integerKU, integerNRHS, real, dimension( ldab, * )AB, integerLDAB, integer, dimension( * )IPIV, real, dimension( ldb, * )B, integerLDB, integerINFO)SGBTRS Purpose: SGBTRS solves a system of linear equations A * X = B or…
sgbtrf.f – SynopsisFunctions/Subroutinessubroutine sgbtrf (M, N, KL, KU, AB, LDAB, IPIV, INFO) SGBTRF Function/Subroutine Documentationsubroutine sgbtrf (integerM, integerN, integerKL, integerKU, real, dimension( ldab, * )AB, integerLDAB, integer, dimension( * )IPIV, integerINFO)SGBTRF Purpose: SGBTRF computes an LU factorization of a real m-by-n band matrix A using partial pivoting with row interchanges. This is the blocked version…
sgbtf2.f – SynopsisFunctions/Subroutinessubroutine sgbtf2 (M, N, KL, KU, AB, LDAB, IPIV, INFO) SGBTF2 computes the LU factorization of a general band matrix using the unblocked version of the algorithm. Function/Subroutine Documentationsubroutine sgbtf2 (integerM, integerN, integerKL, integerKU, real, dimension( ldab, * )AB, integerLDAB, integer, dimension( * )IPIV, integerINFO)SGBTF2 computes the LU factorization of a general band…
sgbsvxx.f – SynopsisFunctions/Subroutinessubroutine sgbsvxx (FACT, TRANS, N, KL, KU, NRHS, AB, LDAB, AFB, LDAFB, IPIV, EQUED, R, C, B, LDB, X, LDX, RCOND, RPVGRW, BERR, N_ERR_BNDS, ERR_BNDS_NORM, ERR_BNDS_COMP, NPARAMS, PARAMS, WORK, IWORK, INFO) SGBSVXX computes the solution to system of linear equations A * X = B for GB matrices Function/Subroutine Documentationsubroutine sgbsvxx (characterFACT, characterTRANS,…
sgbsvx.f – SynopsisFunctions/Subroutinessubroutine sgbsvx (FACT, TRANS, N, KL, KU, NRHS, AB, LDAB, AFB, LDAFB, IPIV, EQUED, R, C, B, LDB, X, LDX, RCOND, FERR, BERR, WORK, IWORK, INFO) SGBSVX computes the solution to system of linear equations A * X = B for GB matrices Function/Subroutine Documentationsubroutine sgbsvx (characterFACT, characterTRANS, integerN, integerKL, integerKU, integerNRHS, real,…
sgbsv.f – SynopsisFunctions/Subroutinessubroutine sgbsv (N, KL, KU, NRHS, AB, LDAB, IPIV, B, LDB, INFO) SGBSV computes the solution to system of linear equations A * X = B for GB matrices (simple driver) Function/Subroutine Documentationsubroutine sgbsv (integerN, integerKL, integerKU, integerNRHS, real, dimension( ldab, * )AB, integerLDAB, integer, dimension( * )IPIV, real, dimension( ldb, * )B,…
sgbrfsx.f – SynopsisFunctions/Subroutinessubroutine sgbrfsx (TRANS, EQUED, N, KL, KU, NRHS, AB, LDAB, AFB, LDAFB, IPIV, R, C, B, LDB, X, LDX, RCOND, BERR, N_ERR_BNDS, ERR_BNDS_NORM, ERR_BNDS_COMP, NPARAMS, PARAMS, WORK, IWORK, INFO) SGBRFSX Function/Subroutine Documentationsubroutine sgbrfsx (characterTRANS, characterEQUED, integerN, integerKL, integerKU, integerNRHS, real, dimension( ldab, * )AB, integerLDAB, real, dimension( ldafb, * )AFB, integerLDAFB, integer, dimension(…
sgbrfs.f – SynopsisFunctions/Subroutinessubroutine sgbrfs (TRANS, N, KL, KU, NRHS, AB, LDAB, AFB, LDAFB, IPIV, B, LDB, X, LDX, FERR, BERR, WORK, IWORK, INFO) SGBRFS Function/Subroutine Documentationsubroutine sgbrfs (characterTRANS, integerN, integerKL, integerKU, integerNRHS, real, dimension( ldab, * )AB, integerLDAB, real, dimension( ldafb, * )AFB, integerLDAFB, integer, dimension( * )IPIV, real, dimension( ldb, * )B, integerLDB, real,…
sgbmv.f – SynopsisFunctions/Subroutinessubroutine sgbmv (TRANS, M, N, KL, KU, ALPHA, A, LDA, X, INCX, BETA, Y, INCY) SGBMV Function/Subroutine Documentationsubroutine sgbmv (characterTRANS, integerM, integerN, integerKL, integerKU, realALPHA, real, dimension(lda,*)A, integerLDA, real, dimension(*)X, integerINCX, realBETA, real, dimension(*)Y, integerINCY)SGBMV Purpose: SGBMV performs one of the matrix-vector operations y := alpha*A*x + beta*y, or y := alpha*A**T*x +…