Section 3: library functions
cherk.f – SynopsisFunctions/Subroutinessubroutine cherk (UPLO, TRANS, N, K, ALPHA, A, LDA, BETA, C, LDC) CHERK Function/Subroutine Documentationsubroutine cherk (characterUPLO, characterTRANS, integerN, integerK, realALPHA, complex, dimension(lda,*)A, integerLDA, realBETA, complex, dimension(ldc,*)C, integerLDC)CHERK Purpose: CHERK performs one of the hermitian rank k operations C := alpha*A*A**H + beta*C, or C := alpha*A**H*A + beta*C, where alpha and beta…
cherfsx.f – SynopsisFunctions/Subroutinessubroutine cherfsx (UPLO, EQUED, N, NRHS, A, LDA, AF, LDAF, IPIV, S, B, LDB, X, LDX, RCOND, BERR, N_ERR_BNDS, ERR_BNDS_NORM, ERR_BNDS_COMP, NPARAMS, PARAMS, WORK, RWORK, INFO) CHERFSX Function/Subroutine Documentationsubroutine cherfsx (characterUPLO, characterEQUED, integerN, integerNRHS, complex, dimension( lda, * )A, integerLDA, complex, dimension( ldaf, * )AF, integerLDAF, integer, dimension( * )IPIV, real, dimension( *…
cherfs.f – SynopsisFunctions/Subroutinessubroutine cherfs (UPLO, N, NRHS, A, LDA, AF, LDAF, IPIV, B, LDB, X, LDX, FERR, BERR, WORK, RWORK, INFO) CHERFS Function/Subroutine Documentationsubroutine cherfs (characterUPLO, integerN, integerNRHS, complex, dimension( lda, * )A, integerLDA, complex, dimension( ldaf, * )AF, integerLDAF, integer, dimension( * )IPIV, complex, dimension( ldb, * )B, integerLDB, complex, dimension( ldx, * )X,…
cher2k.f – SynopsisFunctions/Subroutinessubroutine cher2k (UPLO, TRANS, N, K, ALPHA, A, LDA, B, LDB, BETA, C, LDC) CHER2K Function/Subroutine Documentationsubroutine cher2k (characterUPLO, characterTRANS, integerN, integerK, complexALPHA, complex, dimension(lda,*)A, integerLDA, complex, dimension(ldb,*)B, integerLDB, realBETA, complex, dimension(ldc,*)C, integerLDC)CHER2K Purpose: CHER2K performs one of the hermitian rank 2k operations C := alpha*A*B**H + conjg( alpha )*B*A**H + beta*C, or…
cher2.f – SynopsisFunctions/Subroutinessubroutine cher2 (UPLO, N, ALPHA, X, INCX, Y, INCY, A, LDA) CHER2 Function/Subroutine Documentationsubroutine cher2 (characterUPLO, integerN, complexALPHA, complex, dimension(*)X, integerINCX, complex, dimension(*)Y, integerINCY, complex, dimension(lda,*)A, integerLDA)CHER2 Purpose: CHER2 performs the hermitian rank 2 operation A := alpha*x*y**H + conjg( alpha )*y*x**H + A, where alpha is a scalar, x and y are…
cher.f – SynopsisFunctions/Subroutinessubroutine cher (UPLO, N, ALPHA, X, INCX, A, LDA) CHER Function/Subroutine Documentationsubroutine cher (characterUPLO, integerN, realALPHA, complex, dimension(*)X, integerINCX, complex, dimension(lda,*)A, integerLDA)CHER Purpose: CHER performs the hermitian rank 1 operation A := alpha*x*x**H + A, where alpha is a real scalar, x is an n element vector and A is an n by…
chemv.f – SynopsisFunctions/Subroutinessubroutine chemv (UPLO, N, ALPHA, A, LDA, X, INCX, BETA, Y, INCY) CHEMV Function/Subroutine Documentationsubroutine chemv (characterUPLO, integerN, complexALPHA, complex, dimension(lda,*)A, integerLDA, complex, dimension(*)X, integerINCX, complexBETA, complex, dimension(*)Y, integerINCY)CHEMV Purpose: CHEMV performs the matrix-vector operation y := alpha*A*x + beta*y, where alpha and beta are scalars, x and y are n element vectors…
chemm.f – SynopsisFunctions/Subroutinessubroutine chemm (SIDE, UPLO, M, N, ALPHA, A, LDA, B, LDB, BETA, C, LDC) CHEMM Function/Subroutine Documentationsubroutine chemm (characterSIDE, characterUPLO, integerM, integerN, complexALPHA, complex, dimension(lda,*)A, integerLDA, complex, dimension(ldb,*)B, integerLDB, complexBETA, complex, dimension(ldc,*)C, integerLDC)CHEMM Purpose: CHEMM performs one of the matrix-matrix operations C := alpha*A*B + beta*C, or C := alpha*B*A + beta*C, where…
chegvx.f – SynopsisFunctions/Subroutinessubroutine chegvx (ITYPE, JOBZ, RANGE, UPLO, N, A, LDA, B, LDB, VL, VU, IL, IU, ABSTOL, M, W, Z, LDZ, WORK, LWORK, RWORK, IWORK, IFAIL, INFO) CHEGST Function/Subroutine Documentationsubroutine chegvx (integerITYPE, characterJOBZ, characterRANGE, characterUPLO, integerN, complex, dimension( lda, * )A, integerLDA, complex, dimension( ldb, * )B, integerLDB, realVL, realVU, integerIL, integerIU, realABSTOL, integerM,…
chegvd.f – SynopsisFunctions/Subroutinessubroutine chegvd (ITYPE, JOBZ, UPLO, N, A, LDA, B, LDB, W, WORK, LWORK, RWORK, LRWORK, IWORK, LIWORK, INFO) CHEGST Function/Subroutine Documentationsubroutine chegvd (integerITYPE, characterJOBZ, characterUPLO, integerN, complex, dimension( lda, * )A, integerLDA, complex, dimension( ldb, * )B, integerLDB, real, dimension( * )W, complex, dimension( * )WORK, integerLWORK, real, dimension( * )RWORK, integerLRWORK, integer,…
chegv.f – SynopsisFunctions/Subroutinessubroutine chegv (ITYPE, JOBZ, UPLO, N, A, LDA, B, LDB, W, WORK, LWORK, RWORK, INFO) CHEGST Function/Subroutine Documentationsubroutine chegv (integerITYPE, characterJOBZ, characterUPLO, integerN, complex, dimension( lda, * )A, integerLDA, complex, dimension( ldb, * )B, integerLDB, real, dimension( * )W, complex, dimension( * )WORK, integerLWORK, real, dimension( * )RWORK, integerINFO)CHEGST Purpose: CHEGV computes all…
chegst.f – SynopsisFunctions/Subroutinessubroutine chegst (ITYPE, UPLO, N, A, LDA, B, LDB, INFO) CHEGST Function/Subroutine Documentationsubroutine chegst (integerITYPE, characterUPLO, integerN, complex, dimension( lda, * )A, integerLDA, complex, dimension( ldb, * )B, integerLDB, integerINFO)CHEGST Purpose: CHEGST reduces a complex Hermitian-definite generalized eigenproblem to standard form. If ITYPE = 1, the problem is A*x = lambda*B*x, and A…
chegs2.f – SynopsisFunctions/Subroutinessubroutine chegs2 (ITYPE, UPLO, N, A, LDA, B, LDB, INFO) CHEGS2 reduces a Hermitian definite generalized eigenproblem to standard form, using the factorization results obtained from cpotrf (unblocked algorithm). Function/Subroutine Documentationsubroutine chegs2 (integerITYPE, characterUPLO, integerN, complex, dimension( lda, * )A, integerLDA, complex, dimension( ldb, * )B, integerLDB, integerINFO)CHEGS2 reduces a Hermitian definite generalized…
cheevx.f – SynopsisFunctions/Subroutinessubroutine cheevx (JOBZ, RANGE, UPLO, N, A, LDA, VL, VU, IL, IU, ABSTOL, M, W, Z, LDZ, WORK, LWORK, RWORK, IWORK, IFAIL, INFO) CHEEVX computes the eigenvalues and, optionally, the left and/or right eigenvectors for HE matrices Function/Subroutine Documentationsubroutine cheevx (characterJOBZ, characterRANGE, characterUPLO, integerN, complex, dimension( lda, * )A, integerLDA, realVL, realVU, integerIL,…
cheevr.f – SynopsisFunctions/Subroutinessubroutine cheevr (JOBZ, RANGE, UPLO, N, A, LDA, VL, VU, IL, IU, ABSTOL, M, W, Z, LDZ, ISUPPZ, WORK, LWORK, RWORK, LRWORK, IWORK, LIWORK, INFO) CHEEVR computes the eigenvalues and, optionally, the left and/or right eigenvectors for HE matrices Function/Subroutine Documentationsubroutine cheevr (characterJOBZ, characterRANGE, characterUPLO, integerN, complex, dimension( lda, * )A, integerLDA, realVL,…
cheevd.f – SynopsisFunctions/Subroutinessubroutine cheevd (JOBZ, UPLO, N, A, LDA, W, WORK, LWORK, RWORK, LRWORK, IWORK, LIWORK, INFO) CHEEVD computes the eigenvalues and, optionally, the left and/or right eigenvectors for HE matrices Function/Subroutine Documentationsubroutine cheevd (characterJOBZ, characterUPLO, integerN, complex, dimension( lda, * )A, integerLDA, real, dimension( * )W, complex, dimension( * )WORK, integerLWORK, real, dimension( *…
cheev.f – SynopsisFunctions/Subroutinessubroutine cheev (JOBZ, UPLO, N, A, LDA, W, WORK, LWORK, RWORK, INFO) CHEEV computes the eigenvalues and, optionally, the left and/or right eigenvectors for HE matrices Function/Subroutine Documentationsubroutine cheev (characterJOBZ, characterUPLO, integerN, complex, dimension( lda, * )A, integerLDA, real, dimension( * )W, complex, dimension( * )WORK, integerLWORK, real, dimension( * )RWORK, integerINFO) CHEEV…
cheequb.f – SynopsisFunctions/Subroutinessubroutine cheequb (UPLO, N, A, LDA, S, SCOND, AMAX, WORK, INFO) CHEEQUB Function/Subroutine Documentationsubroutine cheequb (characterUPLO, integerN, complex, dimension( lda, * )A, integerLDA, real, dimension( * )S, realSCOND, realAMAX, complex, dimension( * )WORK, integerINFO)CHEEQUB Purpose: CHEEQUB computes row and column scalings intended to equilibrate a Hermitian matrix A and reduce its condition number…
checon.f – SynopsisFunctions/Subroutinessubroutine checon (UPLO, N, A, LDA, IPIV, ANORM, RCOND, WORK, INFO) CHECON Function/Subroutine Documentationsubroutine checon (characterUPLO, integerN, complex, dimension( lda, * )A, integerLDA, integer, dimension( * )IPIV, realANORM, realRCOND, complex, dimension( * )WORK, integerINFO)CHECON Purpose: CHECON estimates the reciprocal of the condition number of a complex Hermitian matrix A using the factorization A…
chbtrd.f – SynopsisFunctions/Subroutinessubroutine chbtrd (VECT, UPLO, N, KD, AB, LDAB, D, E, Q, LDQ, WORK, INFO) CHBTRD Function/Subroutine Documentationsubroutine chbtrd (characterVECT, characterUPLO, integerN, integerKD, complex, dimension( ldab, * )AB, integerLDAB, real, dimension( * )D, real, dimension( * )E, complex, dimension( ldq, * )Q, integerLDQ, complex, dimension( * )WORK, integerINFO)CHBTRD Purpose: CHBTRD reduces a complex Hermitian…