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LAPACK
3.9.0
LAPACK: Linear Algebra PACKage
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| double precision function | dla_porcond (UPLO, N, A, LDA, AF, LDAF, CMODE, C, INFO, WORK, IWORK) |
| | DLA_PORCOND estimates the Skeel condition number for a symmetric positive-definite matrix. More...
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| subroutine | dla_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) |
| | DLA_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 | dla_porpvgrw (UPLO, NCOLS, A, LDA, AF, LDAF, WORK) |
| | DLA_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 | dpocon (UPLO, N, A, LDA, ANORM, RCOND, WORK, IWORK, INFO) |
| | DPOCON More...
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| subroutine | dpoequ (N, A, LDA, S, SCOND, AMAX, INFO) |
| | DPOEQU More...
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| subroutine | dpoequb (N, A, LDA, S, SCOND, AMAX, INFO) |
| | DPOEQUB More...
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| subroutine | dporfs (UPLO, N, NRHS, A, LDA, AF, LDAF, B, LDB, X, LDX, FERR, BERR, WORK, IWORK, INFO) |
| | DPORFS More...
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| subroutine | dporfsx (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, IWORK, INFO) |
| | DPORFSX More...
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| subroutine | dpotf2 (UPLO, N, A, LDA, INFO) |
| | DPOTF2 computes the Cholesky factorization of a symmetric/Hermitian positive definite matrix (unblocked algorithm). More...
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| subroutine | dpotrf (UPLO, N, A, LDA, INFO) |
| | DPOTRF More...
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| recursive subroutine | dpotrf2 (UPLO, N, A, LDA, INFO) |
| | DPOTRF2 More...
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| subroutine | dpotri (UPLO, N, A, LDA, INFO) |
| | DPOTRI More...
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| subroutine | dpotrs (UPLO, N, NRHS, A, LDA, B, LDB, INFO) |
| | DPOTRS More...
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This is the group of double computational functions for PO matrices
double precision function dla_porpvgrw(UPLO, NCOLS, A, LDA, AF, LDAF, WORK)
DLA_PORPVGRW computes the reciprocal pivot growth factor norm(A)/norm(U) for a symmetric or Hermitian...
subroutine dlatrs(UPLO, TRANS, DIAG, NORMIN, N, A, LDA, X, SCALE, CNORM, INFO)
DLATRS solves a triangular system of equations with the scale factor set to prevent overflow.
integer function ilaprec(PREC)
ILAPREC
recursive subroutine dpotrf2(UPLO, N, A, LDA, INFO)
DPOTRF2
integer function idamax(N, DX, INCX)
IDAMAX
subroutine dsyrk(UPLO, TRANS, N, K, ALPHA, A, LDA, BETA, C, LDC)
DSYRK
subroutine dsymv(UPLO, N, ALPHA, A, LDA, X, INCX, BETA, Y, INCY)
DSYMV
double precision function dlansy(NORM, UPLO, N, A, LDA, WORK)
DLANSY returns the value of the 1-norm, or the Frobenius norm, or the infinity norm,...
subroutine dtrsm(SIDE, UPLO, TRANSA, DIAG, M, N, ALPHA, A, LDA, B, LDB)
DTRSM
subroutine dlacn2(N, V, X, ISGN, EST, KASE, ISAVE)
DLACN2 estimates the 1-norm of a square matrix, using reverse communication for evaluating matrix-vec...
logical function disnan(DIN)
DISNAN tests input for NaN.
subroutine dlauum(UPLO, N, A, LDA, INFO)
DLAUUM computes the product UUH or LHL, where U and L are upper or lower triangular matrices (blocked...
double precision function dla_porcond(UPLO, N, A, LDA, AF, LDAF, CMODE, C, INFO, WORK, IWORK)
DLA_PORCOND estimates the Skeel condition number for a symmetric positive-definite matrix.
subroutine drscl(N, SA, SX, INCX)
DRSCL multiplies a vector by the reciprocal of a real scalar.
subroutine dcopy(N, DX, INCX, DY, INCY)
DCOPY
subroutine dla_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)
DLA_PORFSX_EXTENDED improves the computed solution to a system of linear equations for symmetric or H...
integer function ilauplo(UPLO)
ILAUPLO
subroutine dla_syamv(UPLO, N, ALPHA, A, LDA, X, INCX, BETA, Y, INCY)
DLA_SYAMV computes a matrix-vector product using a symmetric indefinite matrix to calculate error bou...
subroutine dgemm(TRANSA, TRANSB, M, N, K, ALPHA, A, LDA, B, LDB, BETA, C, LDC)
DGEMM
subroutine xerbla(SRNAME, INFO)
XERBLA
subroutine dla_wwaddw(N, X, Y, W)
DLA_WWADDW adds a vector into a doubled-single vector.
logical function lsame(CA, CB)
LSAME
subroutine dgemv(TRANS, M, N, ALPHA, A, LDA, X, INCX, BETA, Y, INCY)
DGEMV
integer function ilaenv(ISPEC, NAME, OPTS, N1, N2, N3, N4)
ILAENV
subroutine dtrtri(UPLO, DIAG, N, A, LDA, INFO)
DTRTRI
subroutine dpotrs(UPLO, N, NRHS, A, LDA, B, LDB, INFO)
DPOTRS
double precision function ddot(N, DX, INCX, DY, INCY)
DDOT
subroutine dla_lin_berr(N, NZ, NRHS, RES, AYB, BERR)
DLA_LIN_BERR computes a component-wise relative backward error.
subroutine dscal(N, DA, DX, INCX)
DSCAL
subroutine dpocon(UPLO, N, A, LDA, ANORM, RCOND, WORK, IWORK, INFO)
DPOCON
double precision function dlamch(CMACH)
DLAMCH
subroutine daxpy(N, DA, DX, INCX, DY, INCY)
DAXPY
1.8.16