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LAPACK
3.9.0
LAPACK: Linear Algebra PACKage
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| subroutine | zhetrf_aa_2stage (UPLO, N, A, LDA, TB, LTB, IPIV, IPIV2, WORK, LWORK, INFO) |
| | ZHETRF_AA_2STAGE More...
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| subroutine | zhetrs_aa_2stage (UPLO, N, NRHS, A, LDA, TB, LTB, IPIV, IPIV2, B, LDB, INFO) |
| | ZHETRS_AA_2STAGE More...
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| subroutine | zla_syamv (UPLO, N, ALPHA, A, LDA, X, INCX, BETA, Y, INCY) |
| | ZLA_SYAMV computes a matrix-vector product using a symmetric indefinite matrix to calculate error bounds. More...
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| double precision function | zla_syrcond_c (UPLO, N, A, LDA, AF, LDAF, IPIV, C, CAPPLY, INFO, WORK, RWORK) |
| | ZLA_SYRCOND_C computes the infinity norm condition number of op(A)*inv(diag(c)) for symmetric indefinite matrices. More...
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| double precision function | zla_syrcond_x (UPLO, N, A, LDA, AF, LDAF, IPIV, X, INFO, WORK, RWORK) |
| | ZLA_SYRCOND_X computes the infinity norm condition number of op(A)*diag(x) for symmetric indefinite matrices. More...
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| subroutine | zla_syrfsx_extended (PREC_TYPE, UPLO, N, NRHS, A, LDA, AF, LDAF, IPIV, COLEQU, C, B, LDB, Y, LDY, BERR_OUT, N_NORMS, ERR_BNDS_NORM, ERR_BNDS_COMP, RES, AYB, DY, Y_TAIL, RCOND, ITHRESH, RTHRESH, DZ_UB, IGNORE_CWISE, INFO) |
| | ZLA_SYRFSX_EXTENDED improves the computed solution to a system of linear equations for symmetric indefinite matrices by performing extra-precise iterative refinement and provides error bounds and backward error estimates for the solution. More...
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| double precision function | zla_syrpvgrw (UPLO, N, INFO, A, LDA, AF, LDAF, IPIV, WORK) |
| | ZLA_SYRPVGRW computes the reciprocal pivot growth factor norm(A)/norm(U) for a symmetric indefinite matrix. More...
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| subroutine | zlasyf (UPLO, N, NB, KB, A, LDA, IPIV, W, LDW, INFO) |
| | ZLASYF computes a partial factorization of a complex symmetric matrix using the Bunch-Kaufman diagonal pivoting method. More...
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| subroutine | zlasyf_aa (UPLO, J1, M, NB, A, LDA, IPIV, H, LDH, WORK) |
| | ZLASYF_AA More...
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| subroutine | zlasyf_rk (UPLO, N, NB, KB, A, LDA, E, IPIV, W, LDW, INFO) |
| | ZLASYF_RK computes a partial factorization of a complex symmetric indefinite matrix using bounded Bunch-Kaufman (rook) diagonal pivoting method. More...
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| subroutine | zlasyf_rook (UPLO, N, NB, KB, A, LDA, IPIV, W, LDW, INFO) |
| | ZLASYF_ROOK computes a partial factorization of a complex symmetric matrix using the bounded Bunch-Kaufman ("rook") diagonal pivoting method. More...
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| subroutine | zsycon (UPLO, N, A, LDA, IPIV, ANORM, RCOND, WORK, INFO) |
| | ZSYCON More...
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| subroutine | zsycon_3 (UPLO, N, A, LDA, E, IPIV, ANORM, RCOND, WORK, INFO) |
| | ZSYCON_3 More...
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| subroutine | zsycon_rook (UPLO, N, A, LDA, IPIV, ANORM, RCOND, WORK, INFO) |
| | ZSYCON_ROOK More...
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| subroutine | zsyconv (UPLO, WAY, N, A, LDA, IPIV, E, INFO) |
| | ZSYCONV More...
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| subroutine | zsyconvf (UPLO, WAY, N, A, LDA, E, IPIV, INFO) |
| | ZSYCONVF More...
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| subroutine | zsyconvf_rook (UPLO, WAY, N, A, LDA, E, IPIV, INFO) |
| | ZSYCONVF_ROOK More...
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| subroutine | zsyequb (UPLO, N, A, LDA, S, SCOND, AMAX, WORK, INFO) |
| | ZSYEQUB More...
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| subroutine | zsyrfs (UPLO, N, NRHS, A, LDA, AF, LDAF, IPIV, B, LDB, X, LDX, FERR, BERR, WORK, RWORK, INFO) |
| | ZSYRFS More...
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| subroutine | zsyrfsx (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) |
| | ZSYRFSX More...
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| subroutine | zsysv_aa_2stage (UPLO, N, NRHS, A, LDA, TB, LTB, IPIV, IPIV2, B, LDB, WORK, LWORK, INFO) |
| | ZSYSV_AA_2STAGE computes the solution to system of linear equations A * X = B for SY matrices More...
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| subroutine | zsytf2 (UPLO, N, A, LDA, IPIV, INFO) |
| | ZSYTF2 computes the factorization of a real symmetric indefinite matrix, using the diagonal pivoting method (unblocked algorithm). More...
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| subroutine | zsytf2_rk (UPLO, N, A, LDA, E, IPIV, INFO) |
| | ZSYTF2_RK computes the factorization of a complex symmetric indefinite matrix using the bounded Bunch-Kaufman (rook) diagonal pivoting method (BLAS2 unblocked algorithm). More...
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| subroutine | zsytf2_rook (UPLO, N, A, LDA, IPIV, INFO) |
| | ZSYTF2_ROOK computes the factorization of a complex symmetric indefinite matrix using the bounded Bunch-Kaufman ("rook") diagonal pivoting method (unblocked algorithm). More...
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| subroutine | zsytrf (UPLO, N, A, LDA, IPIV, WORK, LWORK, INFO) |
| | ZSYTRF More...
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| subroutine | zsytrf_aa (UPLO, N, A, LDA, IPIV, WORK, LWORK, INFO) |
| | ZSYTRF_AA More...
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| subroutine | zsytrf_aa_2stage (UPLO, N, A, LDA, TB, LTB, IPIV, IPIV2, WORK, LWORK, INFO) |
| | ZSYTRF_AA_2STAGE More...
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| subroutine | zsytrf_rk (UPLO, N, A, LDA, E, IPIV, WORK, LWORK, INFO) |
| | ZSYTRF_RK computes the factorization of a complex symmetric indefinite matrix using the bounded Bunch-Kaufman (rook) diagonal pivoting method (BLAS3 blocked algorithm). More...
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| subroutine | zsytrf_rook (UPLO, N, A, LDA, IPIV, WORK, LWORK, INFO) |
| | ZSYTRF_ROOK More...
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| subroutine | zsytri (UPLO, N, A, LDA, IPIV, WORK, INFO) |
| | ZSYTRI More...
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| subroutine | zsytri2 (UPLO, N, A, LDA, IPIV, WORK, LWORK, INFO) |
| | ZSYTRI2 More...
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| subroutine | zsytri2x (UPLO, N, A, LDA, IPIV, WORK, NB, INFO) |
| | ZSYTRI2X More...
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| subroutine | zsytri_3 (UPLO, N, A, LDA, E, IPIV, WORK, LWORK, INFO) |
| | ZSYTRI_3 More...
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| subroutine | zsytri_3x (UPLO, N, A, LDA, E, IPIV, WORK, NB, INFO) |
| | ZSYTRI_3X More...
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| subroutine | zsytri_rook (UPLO, N, A, LDA, IPIV, WORK, INFO) |
| | ZSYTRI_ROOK More...
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| subroutine | zsytrs (UPLO, N, NRHS, A, LDA, IPIV, B, LDB, INFO) |
| | ZSYTRS More...
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| subroutine | zsytrs2 (UPLO, N, NRHS, A, LDA, IPIV, B, LDB, WORK, INFO) |
| | ZSYTRS2 More...
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| subroutine | zsytrs_3 (UPLO, N, NRHS, A, LDA, E, IPIV, B, LDB, INFO) |
| | ZSYTRS_3 More...
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| subroutine | zsytrs_aa (UPLO, N, NRHS, A, LDA, IPIV, B, LDB, WORK, LWORK, INFO) |
| | ZSYTRS_AA More...
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| subroutine | zsytrs_aa_2stage (UPLO, N, NRHS, A, LDA, TB, LTB, IPIV, IPIV2, B, LDB, INFO) |
| | ZSYTRS_AA_2STAGE More...
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| subroutine | zsytrs_rook (UPLO, N, NRHS, A, LDA, IPIV, B, LDB, INFO) |
| | ZSYTRS_ROOK More...
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| subroutine | ztgsyl (TRANS, IJOB, M, N, A, LDA, B, LDB, C, LDC, D, LDD, E, LDE, F, LDF, SCALE, DIF, WORK, LWORK, IWORK, INFO) |
| | ZTGSYL More...
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| subroutine | ztrsyl (TRANA, TRANB, ISGN, M, N, A, LDA, B, LDB, C, LDC, SCALE, INFO) |
| | ZTRSYL More...
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This is the group of complex16 computational functions for SY matrices
subroutine zlacgv(N, X, INCX)
ZLACGV conjugates a complex vector.
subroutine zgeru(M, N, ALPHA, X, INCX, Y, INCY, A, LDA)
ZGERU
subroutine zla_lin_berr(N, NZ, NRHS, RES, AYB, BERR)
ZLA_LIN_BERR computes a component-wise relative backward error.
subroutine zgbtrf(M, N, KL, KU, AB, LDAB, IPIV, INFO)
ZGBTRF
double precision function zlansy(NORM, UPLO, N, A, LDA, WORK)
ZLANSY returns the value of the 1-norm, or the Frobenius norm, or the infinity norm,...
subroutine zaxpy(N, ZA, ZX, INCX, ZY, INCY)
ZAXPY
integer function ilaprec(PREC)
ILAPREC
double precision function zla_syrcond_x(UPLO, N, A, LDA, AF, LDAF, IPIV, X, INFO, WORK, RWORK)
ZLA_SYRCOND_X computes the infinity norm condition number of op(A)*diag(x) for symmetric indefinite m...
subroutine zgemv(TRANS, M, N, ALPHA, A, LDA, X, INCX, BETA, Y, INCY)
ZGEMV
subroutine zhegst(ITYPE, UPLO, N, A, LDA, B, LDB, INFO)
ZHEGST
double precision function zlange(NORM, M, N, A, LDA, WORK)
ZLANGE returns the value of the 1-norm, Frobenius norm, infinity-norm, or the largest absolute value ...
logical function lde(RI, RJ, LR)
complex *16 function zdotu(N, ZX, INCX, ZY, INCY)
ZDOTU
subroutine zla_wwaddw(N, X, Y, W)
ZLA_WWADDW adds a vector into a doubled-single vector.
complex *16 function zdotc(N, ZX, INCX, ZY, INCY)
ZDOTC
subroutine zla_syrfsx_extended(PREC_TYPE, UPLO, N, NRHS, A, LDA, AF, LDAF, IPIV, COLEQU, C, B, LDB, Y, LDY, BERR_OUT, N_NORMS, ERR_BNDS_NORM, ERR_BNDS_COMP, RES, AYB, DY, Y_TAIL, RCOND, ITHRESH, RTHRESH, DZ_UB, IGNORE_CWISE, INFO)
ZLA_SYRFSX_EXTENDED improves the computed solution to a system of linear equations for symmetric inde...
subroutine ztgsy2(TRANS, IJOB, M, N, A, LDA, B, LDB, C, LDC, D, LDD, E, LDE, F, LDF, SCALE, RDSUM, RDSCAL, INFO)
ZTGSY2 solves the generalized Sylvester equation (unblocked algorithm).
subroutine ztrsm(SIDE, UPLO, TRANSA, DIAG, M, N, ALPHA, A, LDA, B, LDB)
ZTRSM
double precision function zla_syrcond_c(UPLO, N, A, LDA, AF, LDAF, IPIV, C, CAPPLY, INFO, WORK, RWORK)
ZLA_SYRCOND_C computes the infinity norm condition number of op(A)*inv(diag(c)) for symmetric indefin...
double precision function zla_syrpvgrw(UPLO, N, INFO, A, LDA, AF, LDAF, IPIV, WORK)
ZLA_SYRPVGRW computes the reciprocal pivot growth factor norm(A)/norm(U) for a symmetric indefinite m...
subroutine zsytrs_aa_2stage(UPLO, N, NRHS, A, LDA, TB, LTB, IPIV, IPIV2, B, LDB, INFO)
ZSYTRS_AA_2STAGE
subroutine zlassq(N, X, INCX, SCALE, SUMSQ)
ZLASSQ updates a sum of squares represented in scaled form.
logical function disnan(DIN)
DISNAN tests input for NaN.
subroutine zdscal(N, DA, ZX, INCX)
ZDSCAL
subroutine zgtsv(N, NRHS, DL, D, DU, B, LDB, INFO)
ZGTSV computes the solution to system of linear equations A * X = B for GT matrices
subroutine zsyconv(UPLO, WAY, N, A, LDA, IPIV, E, INFO)
ZSYCONV
subroutine zsymv(UPLO, N, ALPHA, A, LDA, X, INCX, BETA, Y, INCY)
ZSYMV computes a matrix-vector product for a complex symmetric matrix.
subroutine zlacn2(N, V, X, EST, KASE, ISAVE)
ZLACN2 estimates the 1-norm of a square matrix, using reverse communication for evaluating matrix-vec...
subroutine zlasyf(UPLO, N, NB, KB, A, LDA, IPIV, W, LDW, INFO)
ZLASYF computes a partial factorization of a complex symmetric matrix using the Bunch-Kaufman diagona...
complex *16 function zladiv(X, Y)
ZLADIV performs complex division in real arithmetic, avoiding unnecessary overflow.
subroutine zsytrs(UPLO, N, NRHS, A, LDA, IPIV, B, LDB, INFO)
ZSYTRS
subroutine zcopy(N, ZX, INCX, ZY, INCY)
ZCOPY
subroutine zla_syamv(UPLO, N, ALPHA, A, LDA, X, INCX, BETA, Y, INCY)
ZLA_SYAMV computes a matrix-vector product using a symmetric indefinite matrix to calculate error bou...
subroutine zgemm(TRANSA, TRANSB, M, N, K, ALPHA, A, LDA, B, LDB, BETA, C, LDC)
ZGEMM
subroutine zlasyf_rk(UPLO, N, NB, KB, A, LDA, E, IPIV, W, LDW, INFO)
ZLASYF_RK computes a partial factorization of a complex symmetric indefinite matrix using bounded Bun...
subroutine zsytrs_rook(UPLO, N, NRHS, A, LDA, IPIV, B, LDB, INFO)
ZSYTRS_ROOK
integer function izamax(N, ZX, INCX)
IZAMAX
subroutine zlaset(UPLO, M, N, ALPHA, BETA, A, LDA)
ZLASET initializes the off-diagonal elements and the diagonal elements of a matrix to given values.
subroutine zsytrs_3(UPLO, N, NRHS, A, LDA, E, IPIV, B, LDB, INFO)
ZSYTRS_3
integer function ilauplo(UPLO)
ILAUPLO
subroutine zsyr(UPLO, N, ALPHA, X, INCX, A, LDA)
ZSYR performs the symmetric rank-1 update of a complex symmetric matrix.
subroutine zgetrf(M, N, A, LDA, IPIV, INFO)
ZGETRF VARIANT: Crout Level 3 BLAS version of the algorithm.
subroutine zsycon(UPLO, N, A, LDA, IPIV, ANORM, RCOND, WORK, INFO)
ZSYCON
subroutine zlacpy(UPLO, M, N, A, LDA, B, LDB)
ZLACPY copies all or part of one two-dimensional array to another.
subroutine ztrtri(UPLO, DIAG, N, A, LDA, INFO)
ZTRTRI
subroutine zsytf2_rk(UPLO, N, A, LDA, E, IPIV, INFO)
ZSYTF2_RK computes the factorization of a complex symmetric indefinite matrix using the bounded Bunch...
subroutine xerbla(SRNAME, INFO)
XERBLA
subroutine zlasyf_rook(UPLO, N, NB, KB, A, LDA, IPIV, W, LDW, INFO)
ZLASYF_ROOK computes a partial factorization of a complex symmetric matrix using the bounded Bunch-Ka...
subroutine zsytf2(UPLO, N, A, LDA, IPIV, INFO)
ZSYTF2 computes the factorization of a real symmetric indefinite matrix, using the diagonal pivoting ...
logical function lsame(CA, CB)
LSAME
subroutine zswap(N, ZX, INCX, ZY, INCY)
ZSWAP
subroutine zsyswapr(UPLO, N, A, LDA, I1, I2)
ZSYSWAPR
subroutine ztrmm(SIDE, UPLO, TRANSA, DIAG, M, N, ALPHA, A, LDA, B, LDB)
ZTRMM
subroutine zsytrf_aa_2stage(UPLO, N, A, LDA, TB, LTB, IPIV, IPIV2, WORK, LWORK, INFO)
ZSYTRF_AA_2STAGE
subroutine zsytri(UPLO, N, A, LDA, IPIV, WORK, INFO)
ZSYTRI
subroutine zsytri_3x(UPLO, N, A, LDA, E, IPIV, WORK, NB, INFO)
ZSYTRI_3X
subroutine dlabad(SMALL, LARGE)
DLABAD
subroutine zlaswp(N, A, LDA, K1, K2, IPIV, INCX)
ZLASWP performs a series of row interchanges on a general rectangular matrix.
integer function ilaenv(ISPEC, NAME, OPTS, N1, N2, N3, N4)
ILAENV
subroutine zsytri2x(UPLO, N, A, LDA, IPIV, WORK, NB, INFO)
ZSYTRI2X
subroutine zgbtrs(TRANS, N, KL, KU, NRHS, AB, LDAB, IPIV, B, LDB, INFO)
ZGBTRS
subroutine zsytf2_rook(UPLO, N, A, LDA, IPIV, INFO)
ZSYTF2_ROOK computes the factorization of a complex symmetric indefinite matrix using the bounded Bun...
subroutine zscal(N, ZA, ZX, INCX)
ZSCAL
subroutine zlasyf_aa(UPLO, J1, M, NB, A, LDA, IPIV, H, LDH, WORK)
ZLASYF_AA
double precision function dlamch(CMACH)
DLAMCH
1.8.16