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LAPACK
3.9.0
LAPACK: Linear Algebra PACKage
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| double precision function | zla_porcond_c (UPLO, N, A, LDA, AF, LDAF, C, CAPPLY, INFO, WORK, RWORK) |
| | ZLA_PORCOND_C computes the infinity norm condition number of op(A)*inv(diag(c)) for Hermitian positive-definite matrices. More...
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| double precision function | zla_porcond_x (UPLO, N, A, LDA, AF, LDAF, X, INFO, WORK, RWORK) |
| | ZLA_PORCOND_X computes the infinity norm condition number of op(A)*diag(x) for Hermitian positive-definite matrices. More...
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| subroutine | zla_porfsx_extended (PREC_TYPE, UPLO, N, NRHS, A, LDA, AF, LDAF, 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_PORFSX_EXTENDED improves the computed solution to a system of linear equations for symmetric or Hermitian positive-definite 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_porpvgrw (UPLO, NCOLS, A, LDA, AF, LDAF, WORK) |
| | ZLA_PORPVGRW computes the reciprocal pivot growth factor norm(A)/norm(U) for a symmetric or Hermitian positive-definite matrix. More...
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| subroutine | zpocon (UPLO, N, A, LDA, ANORM, RCOND, WORK, RWORK, INFO) |
| | ZPOCON More...
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| subroutine | zpoequ (N, A, LDA, S, SCOND, AMAX, INFO) |
| | ZPOEQU More...
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| subroutine | zpoequb (N, A, LDA, S, SCOND, AMAX, INFO) |
| | ZPOEQUB More...
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| subroutine | zporfs (UPLO, N, NRHS, A, LDA, AF, LDAF, B, LDB, X, LDX, FERR, BERR, WORK, RWORK, INFO) |
| | ZPORFS More...
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| subroutine | zporfsx (UPLO, EQUED, N, NRHS, A, LDA, AF, LDAF, S, B, LDB, X, LDX, RCOND, BERR, N_ERR_BNDS, ERR_BNDS_NORM, ERR_BNDS_COMP, NPARAMS, PARAMS, WORK, RWORK, INFO) |
| | ZPORFSX More...
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| subroutine | zpotf2 (UPLO, N, A, LDA, INFO) |
| | ZPOTF2 computes the Cholesky factorization of a symmetric/Hermitian positive definite matrix (unblocked algorithm). More...
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| subroutine | zpotrf (UPLO, N, A, LDA, INFO) |
| | ZPOTRF More...
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| recursive subroutine | zpotrf2 (UPLO, N, A, LDA, INFO) |
| | ZPOTRF2 More...
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| subroutine | zpotri (UPLO, N, A, LDA, INFO) |
| | ZPOTRI More...
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| subroutine | zpotrs (UPLO, N, NRHS, A, LDA, B, LDB, INFO) |
| | ZPOTRS More...
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This is the group of complex16 computational functions for PO matrices
subroutine zpotrs(UPLO, N, NRHS, A, LDA, B, LDB, INFO)
ZPOTRS
subroutine zlacgv(N, X, INCX)
ZLACGV conjugates a complex vector.
subroutine zla_lin_berr(N, NZ, NRHS, RES, AYB, BERR)
ZLA_LIN_BERR computes a component-wise relative backward error.
recursive subroutine zpotrf2(UPLO, N, A, LDA, INFO)
ZPOTRF2
subroutine zaxpy(N, ZA, ZX, INCX, ZY, INCY)
ZAXPY
integer function ilaprec(PREC)
ILAPREC
subroutine zgemv(TRANS, M, N, ALPHA, A, LDA, X, INCX, BETA, Y, INCY)
ZGEMV
subroutine zlauum(UPLO, N, A, LDA, INFO)
ZLAUUM computes the product UUH or LHL, where U and L are upper or lower triangular matrices (blocked...
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_porfsx_extended(PREC_TYPE, UPLO, N, NRHS, A, LDA, AF, LDAF, 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_PORFSX_EXTENDED improves the computed solution to a system of linear equations for symmetric or H...
subroutine ztrsm(SIDE, UPLO, TRANSA, DIAG, M, N, ALPHA, A, LDA, B, LDB)
ZTRSM
logical function disnan(DIN)
DISNAN tests input for NaN.
subroutine zdscal(N, DA, ZX, INCX)
ZDSCAL
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 zdrscl(N, SA, SX, INCX)
ZDRSCL multiplies a vector by the reciprocal of a real scalar.
subroutine zcopy(N, ZX, INCX, ZY, INCY)
ZCOPY
subroutine zgemm(TRANSA, TRANSB, M, N, K, ALPHA, A, LDA, B, LDB, BETA, C, LDC)
ZGEMM
subroutine zpocon(UPLO, N, A, LDA, ANORM, RCOND, WORK, RWORK, INFO)
ZPOCON
double precision function zlanhe(NORM, UPLO, N, A, LDA, WORK)
ZLANHE returns the value of the 1-norm, or the Frobenius norm, or the infinity norm,...
subroutine zherk(UPLO, TRANS, N, K, ALPHA, A, LDA, BETA, C, LDC)
ZHERK
double precision function zla_porcond_x(UPLO, N, A, LDA, AF, LDAF, X, INFO, WORK, RWORK)
ZLA_PORCOND_X computes the infinity norm condition number of op(A)*diag(x) for Hermitian positive-def...
subroutine zlatrs(UPLO, TRANS, DIAG, NORMIN, N, A, LDA, X, SCALE, CNORM, INFO)
ZLATRS solves a triangular system of equations with the scale factor set to prevent overflow.
integer function izamax(N, ZX, INCX)
IZAMAX
integer function ilauplo(UPLO)
ILAUPLO
subroutine zhemv(UPLO, N, ALPHA, A, LDA, X, INCX, BETA, Y, INCY)
ZHEMV
subroutine ztrtri(UPLO, DIAG, N, A, LDA, INFO)
ZTRTRI
subroutine xerbla(SRNAME, INFO)
XERBLA
double precision function zla_porcond_c(UPLO, N, A, LDA, AF, LDAF, C, CAPPLY, INFO, WORK, RWORK)
ZLA_PORCOND_C computes the infinity norm condition number of op(A)*inv(diag(c)) for Hermitian positiv...
logical function lsame(CA, CB)
LSAME
subroutine zla_heamv(UPLO, N, ALPHA, A, LDA, X, INCX, BETA, Y, INCY)
ZLA_HEAMV computes a matrix-vector product using a Hermitian indefinite matrix to calculate error bou...
integer function ilaenv(ISPEC, NAME, OPTS, N1, N2, N3, N4)
ILAENV
double precision function dlamch(CMACH)
DLAMCH
double precision function zla_porpvgrw(UPLO, NCOLS, A, LDA, AF, LDAF, WORK)
ZLA_PORPVGRW computes the reciprocal pivot growth factor norm(A)/norm(U) for a symmetric or Hermitian...
1.8.16