Section 3: library functions
csytri.f – SynopsisFunctions/Subroutinessubroutine csytri (UPLO, N, A, LDA, IPIV, WORK, INFO) CSYTRI Function/Subroutine Documentationsubroutine csytri (characterUPLO, integerN, complex, dimension( lda, * )A, integerLDA, integer, dimension( * )IPIV, complex, dimension( * )WORK, integerINFO)CSYTRI Purpose: CSYTRI computes the inverse of a complex symmetric indefinite matrix A using the factorization A = U*D*U**T or A = L*D*L**T computed…
csytrf.f – SynopsisFunctions/Subroutinessubroutine csytrf (UPLO, N, A, LDA, IPIV, WORK, LWORK, INFO) CSYTRF Function/Subroutine Documentationsubroutine csytrf (characterUPLO, integerN, complex, dimension( lda, * )A, integerLDA, integer, dimension( * )IPIV, complex, dimension( * )WORK, integerLWORK, integerINFO)CSYTRF Purpose: CSYTRF computes the factorization of a complex symmetric matrix A using the Bunch-Kaufman diagonal pivoting method. The form of the…
csytf2.f – SynopsisFunctions/Subroutinessubroutine csytf2 (UPLO, N, A, LDA, IPIV, INFO) CSYTF2 computes the factorization of a real symmetric indefinite matrix, using the diagonal pivoting method (unblocked algorithm). Function/Subroutine Documentationsubroutine csytf2 (characterUPLO, integerN, complex, dimension( lda, * )A, integerLDA, integer, dimension( * )IPIV, integerINFO)CSYTF2 computes the factorization of a real symmetric indefinite matrix, using the diagonal…
csyswapr.f – SynopsisFunctions/Subroutinessubroutine csyswapr (UPLO, N, A, LDA, I1, I2) CSYSWAPR Function/Subroutine Documentationsubroutine csyswapr (characterUPLO, integerN, complex, dimension( lda, n )A, integerLDA, integerI1, integerI2)CSYSWAPR Purpose: CSYSWAPR applies an elementary permutation on the rows and the columns of a symmetric matrix. Parameters: UPLO UPLO is CHARACTER*1 Specifies whether the details of the factorization are stored as…
csysvxx.f – SynopsisFunctions/Subroutinessubroutine csysvxx (FACT, UPLO, N, NRHS, A, LDA, AF, LDAF, IPIV, EQUED, S, B, LDB, X, LDX, RCOND, RPVGRW, BERR, N_ERR_BNDS, ERR_BNDS_NORM, ERR_BNDS_COMP, NPARAMS, PARAMS, WORK, RWORK, INFO) CSYSVXX computes the solution to system of linear equations A * X = B for SY matrices Function/Subroutine Documentationsubroutine csysvxx (characterFACT, characterUPLO, integerN, integerNRHS, complex,…
csysvx.f – SynopsisFunctions/Subroutinessubroutine csysvx (FACT, UPLO, N, NRHS, A, LDA, AF, LDAF, IPIV, B, LDB, X, LDX, RCOND, FERR, BERR, WORK, LWORK, RWORK, INFO) CSYSVX computes the solution to system of linear equations A * X = B for SY matrices Function/Subroutine Documentationsubroutine csysvx (characterFACT, characterUPLO, integerN, integerNRHS, complex, dimension( lda, * )A, integerLDA, complex,…
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,…