Section 3: library functions
NAME csytri.f – SYNOPSIS Functions/Subroutines subroutine csytri (UPLO, N, A, LDA, IPIV, WORK, INFO) CSYTRI Function/Subroutine Documentation subroutine 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…
NAME csytrf.f – SYNOPSIS Functions/Subroutines subroutine csytrf (UPLO, N, A, LDA, IPIV, WORK, LWORK, INFO) CSYTRF Function/Subroutine Documentation subroutine 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…
NAME csytf2.f – SYNOPSIS Functions/Subroutines subroutine 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 Documentation subroutine csytf2 (characterUPLO, integerN, complex, dimension( lda, * )A, integerLDA, integer, dimension( * )IPIV, integerINFO) CSYTF2 computes the factorization of a real symmetric…
NAME csyswapr.f – SYNOPSIS Functions/Subroutines subroutine csyswapr (UPLO, N, A, LDA, I1, I2) CSYSWAPR Function/Subroutine Documentation subroutine 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…
NAME csysvxx.f – SYNOPSIS Functions/Subroutines subroutine 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 Documentation subroutine csysvxx (characterFACT,…
NAME csysvx.f – SYNOPSIS Functions/Subroutines subroutine 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 Documentation subroutine csysvx (characterFACT, characterUPLO, integerN, integerNRHS, complex, dimension( lda,…
NAME csysv.f – SYNOPSIS Functions/Subroutines subroutine 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 Documentation subroutine csysv (characterUPLO, integerN, integerNRHS, complex, dimension( lda, * )A, integerLDA, integer, dimension( * )IPIV, complex, dimension( ldb,…
NAME csyrk.f – SYNOPSIS Functions/Subroutines subroutine csyrk (UPLO, TRANS, N, K, ALPHA, A, LDA, BETA, C, LDC) CSYRK Function/Subroutine Documentation subroutine 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 +…
NAME csyrfsx.f – SYNOPSIS Functions/Subroutines subroutine 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 Documentation subroutine csyrfsx (characterUPLO, characterEQUED, integerN, integerNRHS, complex, dimension( lda, * )A, integerLDA, complex, dimension( ldaf, * )AF, integerLDAF, integer, dimension( *…
NAME csyrfs.f – SYNOPSIS Functions/Subroutines subroutine csyrfs (UPLO, N, NRHS, A, LDA, AF, LDAF, IPIV, B, LDB, X, LDX, FERR, BERR, WORK, RWORK, INFO) CSYRFS Function/Subroutine Documentation subroutine csyrfs (characterUPLO, integerN, integerNRHS, complex, dimension( lda, * )A, integerLDA, complex, dimension( ldaf, * )AF, integerLDAF, integer, dimension( * )IPIV, complex, dimension( ldb, * )B, integerLDB, complex,…
NAME csyr2k.f – SYNOPSIS Functions/Subroutines subroutine csyr2k (UPLO, TRANS, N, K, ALPHA, A, LDA, B, LDB, BETA, C, LDC) CSYR2K Function/Subroutine Documentation subroutine 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…
NAME csyr.f – SYNOPSIS Functions/Subroutines subroutine csyr (UPLO, N, ALPHA, X, INCX, A, LDA) CSYR performs the symmetric rank-1 update of a complex symmetric matrix. Function/Subroutine Documentation subroutine 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:…
NAME csymv.f – SYNOPSIS Functions/Subroutines subroutine csymv (UPLO, N, ALPHA, A, LDA, X, INCX, BETA, Y, INCY) CSYMV computes a matrix-vector product for a complex symmetric matrix. Function/Subroutine Documentation subroutine csymv (characterUPLO, integerN, complexALPHA, complex, dimension( lda, * )A, integerLDA, complex, dimension( * )X, integerINCX, complexBETA, complex, dimension( * )Y, integerINCY) CSYMV computes a matrix-vector…
NAME csymm.f – SYNOPSIS Functions/Subroutines subroutine csymm (SIDE, UPLO, M, N, ALPHA, A, LDA, B, LDB, BETA, C, LDC) CSYMM Function/Subroutine Documentation subroutine 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…
NAME csyequb.f – SYNOPSIS Functions/Subroutines subroutine csyequb (UPLO, N, A, LDA, S, SCOND, AMAX, WORK, INFO) CSYEQUB Function/Subroutine Documentation subroutine 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…
NAME csyconv.f – SYNOPSIS Functions/Subroutines subroutine csyconv (UPLO, WAY, N, A, LDA, IPIV, WORK, INFO) CSYCONV Function/Subroutine Documentation subroutine 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…
NAME csycon.f – SYNOPSIS Functions/Subroutines subroutine csycon (UPLO, N, A, LDA, IPIV, ANORM, RCOND, WORK, INFO) CSYCON Function/Subroutine Documentation subroutine 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…
NAME cswap.f – SYNOPSIS Functions/Subroutines subroutine cswap (N, CX, INCX, CY, INCY) CSWAP Function/Subroutine Documentation subroutine 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…
NAME csteqr.f – SYNOPSIS Functions/Subroutines subroutine csteqr (COMPZ, N, D, E, Z, LDZ, WORK, INFO) CSTEQR Function/Subroutine Documentation subroutine 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…
NAME cstemr.f – SYNOPSIS Functions/Subroutines subroutine 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 Documentation subroutine cstemr (characterJOBZ, characterRANGE, integerN, real, dimension( * )D, real, dimension( * )E, realVL, realVU, integerIL, integerIU, integerM, real, dimension( * )W, complex, dimension(…