Section 3: library functions
csysv.f – SynopsisFunctions/Subroutinessubroutine csysv (UPLO, N, NRHS, A, LDA, IPIV, B, LDB, WORK, LWORK, INFO) CSYSV computes the solution to system of linear equations A * X = B for SY matrices Function/Subroutine Documentationsubroutine csysv (characterUPLO, integerN, integerNRHS, complex, dimension( lda, * )A, integerLDA, integer, dimension( * )IPIV, complex, dimension( ldb, * )B, integerLDB, complex,…
csyrk.f – SynopsisFunctions/Subroutinessubroutine csyrk (UPLO, TRANS, N, K, ALPHA, A, LDA, BETA, C, LDC) CSYRK Function/Subroutine Documentationsubroutine csyrk (characterUPLO, characterTRANS, integerN, integerK, complexALPHA, complex, dimension(lda,*)A, integerLDA, complexBETA, complex, dimension(ldc,*)C, integerLDC)CSYRK Purpose: CSYRK performs one of the symmetric rank k operations C := alpha*A*A**T + beta*C, or C := alpha*A**T*A + beta*C, where alpha and beta…
csyrfsx.f – SynopsisFunctions/Subroutinessubroutine csyrfsx (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) CSYRFSX Function/Subroutine Documentationsubroutine csyrfsx (characterUPLO, characterEQUED, integerN, integerNRHS, complex, dimension( lda, * )A, integerLDA, complex, dimension( ldaf, * )AF, integerLDAF, integer, dimension( * )IPIV, real, dimension( *…
csyrfs.f – SynopsisFunctions/Subroutinessubroutine csyrfs (UPLO, N, NRHS, A, LDA, AF, LDAF, IPIV, B, LDB, X, LDX, FERR, BERR, WORK, RWORK, INFO) CSYRFS Function/Subroutine Documentationsubroutine csyrfs (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,…
csyr2k.f – SynopsisFunctions/Subroutinessubroutine csyr2k (UPLO, TRANS, N, K, ALPHA, A, LDA, B, LDB, BETA, C, LDC) CSYR2K Function/Subroutine Documentationsubroutine csyr2k (characterUPLO, characterTRANS, integerN, integerK, complexALPHA, complex, dimension(lda,*)A, integerLDA, complex, dimension(ldb,*)B, integerLDB, complexBETA, complex, dimension(ldc,*)C, integerLDC)CSYR2K Purpose: CSYR2K performs one of the symmetric rank 2k operations C := alpha*A*B**T + alpha*B*A**T + beta*C, or C :=…
csyr.f – SynopsisFunctions/Subroutinessubroutine csyr (UPLO, N, ALPHA, X, INCX, A, LDA) CSYR performs the symmetric rank-1 update of a complex symmetric matrix. Function/Subroutine Documentationsubroutine csyr (characterUPLO, integerN, complexALPHA, complex, dimension( * )X, integerINCX, complex, dimension( lda, * )A, integerLDA)CSYR performs the symmetric rank-1 update of a complex symmetric matrix. Purpose: CSYR performs the symmetric rank…
csymv.f – SynopsisFunctions/Subroutinessubroutine csymv (UPLO, N, ALPHA, A, LDA, X, INCX, BETA, Y, INCY) CSYMV computes a matrix-vector product for a complex symmetric matrix. Function/Subroutine Documentationsubroutine csymv (characterUPLO, integerN, complexALPHA, complex, dimension( lda, * )A, integerLDA, complex, dimension( * )X, integerINCX, complexBETA, complex, dimension( * )Y, integerINCY)CSYMV computes a matrix-vector product for a complex symmetric…
csymm.f – SynopsisFunctions/Subroutinessubroutine csymm (SIDE, UPLO, M, N, ALPHA, A, LDA, B, LDB, BETA, C, LDC) CSYMM Function/Subroutine Documentationsubroutine csymm (characterSIDE, characterUPLO, integerM, integerN, complexALPHA, complex, dimension(lda,*)A, integerLDA, complex, dimension(ldb,*)B, integerLDB, complexBETA, complex, dimension(ldc,*)C, integerLDC)CSYMM Purpose: CSYMM performs one of the matrix-matrix operations C := alpha*A*B + beta*C, or C := alpha*B*A + beta*C, where…
csyequb.f – SynopsisFunctions/Subroutinessubroutine csyequb (UPLO, N, A, LDA, S, SCOND, AMAX, WORK, INFO) CSYEQUB Function/Subroutine Documentationsubroutine csyequb (characterUPLO, integerN, complex, dimension( lda, * )A, integerLDA, real, dimension( * )S, realSCOND, realAMAX, complex, dimension( * )WORK, integerINFO)CSYEQUB Purpose: CSYEQUB computes row and column scalings intended to equilibrate a symmetric matrix A and reduce its condition number…
csyconv.f – SynopsisFunctions/Subroutinessubroutine csyconv (UPLO, WAY, N, A, LDA, IPIV, WORK, INFO) CSYCONV Function/Subroutine Documentationsubroutine csyconv (characterUPLO, characterWAY, integerN, complex, dimension( lda, * )A, integerLDA, integer, dimension( * )IPIV, complex, dimension( * )WORK, integerINFO)CSYCONV Purpose: CSYCONV convert A given by TRF into L and D and vice-versa. Get Non-diag elements of D (returned in workspace)…
csycon.f – SynopsisFunctions/Subroutinessubroutine csycon (UPLO, N, A, LDA, IPIV, ANORM, RCOND, WORK, INFO) CSYCON Function/Subroutine Documentationsubroutine csycon (characterUPLO, integerN, complex, dimension( lda, * )A, integerLDA, integer, dimension( * )IPIV, realANORM, realRCOND, complex, dimension( * )WORK, integerINFO)CSYCON Purpose: CSYCON estimates the reciprocal of the condition number (in the 1-norm) of a complex symmetric matrix A using…
cswap.f – SynopsisFunctions/Subroutinessubroutine cswap (N, CX, INCX, CY, INCY) CSWAP Function/Subroutine Documentationsubroutine cswap (integerN, complex, dimension(*)CX, integerINCX, complex, dimension(*)CY, integerINCY)CSWAP Purpose: CSWAP interchanges two vectors. Author: Univ. of Tennessee Univ. of California Berkeley Univ. of Colorado Denver NAG Ltd. Date: November 2011 Further Details: jack dongarra, linpack, 3/11/78. modified 12/3/93, array(1) declarations changed to array(*) …
csteqr.f – SynopsisFunctions/Subroutinessubroutine csteqr (COMPZ, N, D, E, Z, LDZ, WORK, INFO) CSTEQR Function/Subroutine Documentationsubroutine csteqr (characterCOMPZ, integerN, real, dimension( * )D, real, dimension( * )E, complex, dimension( ldz, * )Z, integerLDZ, real, dimension( * )WORK, integerINFO)CSTEQR Purpose: CSTEQR computes all eigenvalues and, optionally, eigenvectors of a symmetric tridiagonal matrix using the implicit QL or…
cstemr.f – SynopsisFunctions/Subroutinessubroutine cstemr (JOBZ, RANGE, N, D, E, VL, VU, IL, IU, M, W, Z, LDZ, NZC, ISUPPZ, TRYRAC, WORK, LWORK, IWORK, LIWORK, INFO) CSTEMR Function/Subroutine Documentationsubroutine cstemr (characterJOBZ, characterRANGE, integerN, real, dimension( * )D, real, dimension( * )E, realVL, realVU, integerIL, integerIU, integerM, real, dimension( * )W, complex, dimension( ldz, * )Z, integerLDZ,…
cstein.f – SynopsisFunctions/Subroutinessubroutine cstein (N, D, E, M, W, IBLOCK, ISPLIT, Z, LDZ, WORK, IWORK, IFAIL, INFO) CSTEIN Function/Subroutine Documentationsubroutine cstein (integerN, real, dimension( * )D, real, dimension( * )E, integerM, real, dimension( * )W, integer, dimension( * )IBLOCK, integer, dimension( * )ISPLIT, complex, dimension( ldz, * )Z, integerLDZ, real, dimension( * )WORK, integer, dimension(…
cstegr.f – SynopsisFunctions/Subroutinessubroutine cstegr (JOBZ, RANGE, N, D, E, VL, VU, IL, IU, ABSTOL, M, W, Z, LDZ, ISUPPZ, WORK, LWORK, IWORK, LIWORK, INFO) CSTEGR Function/Subroutine Documentationsubroutine cstegr (characterJOBZ, characterRANGE, integerN, real, dimension( * )D, real, dimension( * )E, realVL, realVU, integerIL, integerIU, realABSTOL, integerM, real, dimension( * )W, complex, dimension( ldz, * )Z, integerLDZ,…
cstedc.f – SynopsisFunctions/Subroutinessubroutine cstedc (COMPZ, N, D, E, Z, LDZ, WORK, LWORK, RWORK, LRWORK, IWORK, LIWORK, INFO) CSTEDC Function/Subroutine Documentationsubroutine cstedc (characterCOMPZ, integerN, real, dimension( * )D, real, dimension( * )E, complex, dimension( ldz, * )Z, integerLDZ, complex, dimension( * )WORK, integerLWORK, real, dimension( * )RWORK, integerLRWORK, integer, dimension( * )IWORK, integerLIWORK, integerINFO)CSTEDC Purpose: CSTEDC…
csscal.f – SynopsisFunctions/Subroutinessubroutine csscal (N, SA, CX, INCX) CSSCAL Function/Subroutine Documentationsubroutine csscal (integerN, realSA, complex, dimension(*)CX, integerINCX)CSSCAL Purpose: CSSCAL scales a complex vector by a real constant. Author: Univ. of Tennessee Univ. of California Berkeley Univ. of Colorado Denver NAG Ltd. Date: November 2011 Further Details: jack dongarra, linpack, 3/11/78. modified 3/93 to return if…
csrscl.f – SynopsisFunctions/Subroutinessubroutine csrscl (N, SA, SX, INCX) CSRSCL multiplies a vector by the reciprocal of a real scalar. Function/Subroutine Documentationsubroutine csrscl (integerN, realSA, complex, dimension( * )SX, integerINCX)CSRSCL multiplies a vector by the reciprocal of a real scalar. Purpose: CSRSCL multiplies an n-element complex vector x by the real scalar 1/a. This is done…
csrot.f – SynopsisFunctions/Subroutinessubroutine csrot (N, CX, INCX, CY, INCY, C, S) CSROT Function/Subroutine Documentationsubroutine csrot (integerN, complex, dimension( * )CX, integerINCX, complex, dimension( * )CY, integerINCY, realC, realS)CSROT Purpose: CSROT applies a plane rotation, where the cos and sin (c and s) are real and the vectors cx and cy are complex. jack dongarra, linpack,…