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LAPACK
3.9.0
LAPACK: Linear Algebra PACKage
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| real function | sla_porcond (UPLO, N, A, LDA, AF, LDAF, CMODE, C, INFO, WORK, IWORK) |
| | SLA_PORCOND estimates the Skeel condition number for a symmetric positive-definite matrix. More...
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| subroutine | sla_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) |
| | SLA_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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| real function | sla_porpvgrw (UPLO, NCOLS, A, LDA, AF, LDAF, WORK) |
| | SLA_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 | spocon (UPLO, N, A, LDA, ANORM, RCOND, WORK, IWORK, INFO) |
| | SPOCON More...
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| subroutine | spoequ (N, A, LDA, S, SCOND, AMAX, INFO) |
| | SPOEQU More...
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| subroutine | spoequb (N, A, LDA, S, SCOND, AMAX, INFO) |
| | SPOEQUB More...
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| subroutine | sporfs (UPLO, N, NRHS, A, LDA, AF, LDAF, B, LDB, X, LDX, FERR, BERR, WORK, IWORK, INFO) |
| | SPORFS More...
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| subroutine | sporfsx (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) |
| | SPORFSX More...
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| subroutine | spotf2 (UPLO, N, A, LDA, INFO) |
| | SPOTF2 computes the Cholesky factorization of a symmetric/Hermitian positive definite matrix (unblocked algorithm). More...
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| subroutine | spotrf (UPLO, N, A, LDA, INFO) |
| | SPOTRF More...
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| recursive subroutine | spotrf2 (UPLO, N, A, LDA, INFO) |
| | SPOTRF2 More...
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| subroutine | spotri (UPLO, N, A, LDA, INFO) |
| | SPOTRI More...
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| subroutine | spotrs (UPLO, N, NRHS, A, LDA, B, LDB, INFO) |
| | SPOTRS More...
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This is the group of real computational functions for PO matrices
subroutine slacn2(N, V, X, ISGN, EST, KASE, ISAVE)
SLACN2 estimates the 1-norm of a square matrix, using reverse communication for evaluating matrix-vec...
subroutine slauum(UPLO, N, A, LDA, INFO)
SLAUUM computes the product UUH or LHL, where U and L are upper or lower triangular matrices (blocked...
integer function ilaprec(PREC)
ILAPREC
recursive subroutine spotrf2(UPLO, N, A, LDA, INFO)
SPOTRF2
subroutine srscl(N, SA, SX, INCX)
SRSCL multiplies a vector by the reciprocal of a real scalar.
subroutine sla_syamv(UPLO, N, ALPHA, A, LDA, X, INCX, BETA, Y, INCY)
SLA_SYAMV computes a matrix-vector product using a symmetric indefinite matrix to calculate error bou...
subroutine strtri(UPLO, DIAG, N, A, LDA, INFO)
STRTRI
subroutine sgemm(TRANSA, TRANSB, M, N, K, ALPHA, A, LDA, B, LDB, BETA, C, LDC)
SGEMM
subroutine spocon(UPLO, N, A, LDA, ANORM, RCOND, WORK, IWORK, INFO)
SPOCON
integer function isamax(N, SX, INCX)
ISAMAX
subroutine sgemv(TRANS, M, N, ALPHA, A, LDA, X, INCX, BETA, Y, INCY)
SGEMV
logical function sisnan(SIN)
SISNAN tests input for NaN.
subroutine scopy(N, SX, INCX, SY, INCY)
SCOPY
subroutine sla_wwaddw(N, X, Y, W)
SLA_WWADDW adds a vector into a doubled-single vector.
integer function ilauplo(UPLO)
ILAUPLO
subroutine sscal(N, SA, SX, INCX)
SSCAL
subroutine xerbla(SRNAME, INFO)
XERBLA
real function sdot(N, SX, INCX, SY, INCY)
SDOT
subroutine strsm(SIDE, UPLO, TRANSA, DIAG, M, N, ALPHA, A, LDA, B, LDB)
STRSM
subroutine ssymv(UPLO, N, ALPHA, A, LDA, X, INCX, BETA, Y, INCY)
SSYMV
logical function lsame(CA, CB)
LSAME
real function sla_porpvgrw(UPLO, NCOLS, A, LDA, AF, LDAF, WORK)
SLA_PORPVGRW computes the reciprocal pivot growth factor norm(A)/norm(U) for a symmetric or Hermitian...
real function slamch(CMACH)
SLAMCH
real function slansy(NORM, UPLO, N, A, LDA, WORK)
SLANSY returns the value of the 1-norm, or the Frobenius norm, or the infinity norm,...
subroutine slatrs(UPLO, TRANS, DIAG, NORMIN, N, A, LDA, X, SCALE, CNORM, INFO)
SLATRS solves a triangular system of equations with the scale factor set to prevent overflow.
subroutine sla_lin_berr(N, NZ, NRHS, RES, AYB, BERR)
SLA_LIN_BERR computes a component-wise relative backward error.
real function sla_porcond(UPLO, N, A, LDA, AF, LDAF, CMODE, C, INFO, WORK, IWORK)
SLA_PORCOND estimates the Skeel condition number for a symmetric positive-definite matrix.
subroutine spotrs(UPLO, N, NRHS, A, LDA, B, LDB, INFO)
SPOTRS
integer function ilaenv(ISPEC, NAME, OPTS, N1, N2, N3, N4)
ILAENV
subroutine sla_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)
SLA_PORFSX_EXTENDED improves the computed solution to a system of linear equations for symmetric or H...
subroutine ssyrk(UPLO, TRANS, N, K, ALPHA, A, LDA, BETA, C, LDC)
SSYRK
subroutine saxpy(N, SA, SX, INCX, SY, INCY)
SAXPY
1.8.16