LAPACK  3.8.0
LAPACK: Linear Algebra PACKage
Collaboration diagram for real:

Functions

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 bounds. More...
 
real function sla_syrcond (UPLO, N, A, LDA, AF, LDAF, IPIV, CMODE, C, INFO, WORK, IWORK)
 SLA_SYRCOND estimates the Skeel condition number for a symmetric indefinite matrix. More...
 
subroutine sla_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)
 SLA_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...
 
real function sla_syrpvgrw (UPLO, N, INFO, A, LDA, AF, LDAF, IPIV, WORK)
 SLA_SYRPVGRW computes the reciprocal pivot growth factor norm(A)/norm(U) for a symmetric indefinite matrix. More...
 
subroutine slasyf (UPLO, N, NB, KB, A, LDA, IPIV, W, LDW, INFO)
 SLASYF computes a partial factorization of a real symmetric matrix using the Bunch-Kaufman diagonal pivoting method. More...
 
subroutine slasyf_aa (UPLO, J1, M, NB, A, LDA, IPIV, H, LDH, WORK)
 SLASYF_AA More...
 
subroutine slasyf_rook (UPLO, N, NB, KB, A, LDA, IPIV, W, LDW, INFO)
 SLASYF_ROOK computes a partial factorization of a real symmetric matrix using the bounded Bunch-Kaufman ("rook") diagonal pivoting method. More...
 
subroutine ssycon (UPLO, N, A, LDA, IPIV, ANORM, RCOND, WORK, IWORK, INFO)
 SSYCON More...
 
subroutine ssycon_rook (UPLO, N, A, LDA, IPIV, ANORM, RCOND, WORK, IWORK, INFO)
  SSYCON_ROOK More...
 
subroutine ssyconv (UPLO, WAY, N, A, LDA, IPIV, E, INFO)
 SSYCONV More...
 
subroutine ssyequb (UPLO, N, A, LDA, S, SCOND, AMAX, WORK, INFO)
 SSYEQUB More...
 
subroutine ssygs2 (ITYPE, UPLO, N, A, LDA, B, LDB, INFO)
 SSYGS2 reduces a symmetric definite generalized eigenproblem to standard form, using the factorization results obtained from spotrf (unblocked algorithm). More...
 
subroutine ssygst (ITYPE, UPLO, N, A, LDA, B, LDB, INFO)
 SSYGST More...
 
subroutine ssyrfs (UPLO, N, NRHS, A, LDA, AF, LDAF, IPIV, B, LDB, X, LDX, FERR, BERR, WORK, IWORK, INFO)
 SSYRFS More...
 
subroutine ssyrfsx (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, IWORK, INFO)
 SSYRFSX More...
 
subroutine ssytd2 (UPLO, N, A, LDA, D, E, TAU, INFO)
 SSYTD2 reduces a symmetric matrix to real symmetric tridiagonal form by an orthogonal similarity transformation (unblocked algorithm). More...
 
subroutine ssytf2 (UPLO, N, A, LDA, IPIV, INFO)
 SSYTF2 computes the factorization of a real symmetric indefinite matrix, using the diagonal pivoting method (unblocked algorithm). More...
 
subroutine ssytf2_rook (UPLO, N, A, LDA, IPIV, INFO)
 SSYTF2_ROOK computes the factorization of a real symmetric indefinite matrix using the bounded Bunch-Kaufman ("rook") diagonal pivoting method (unblocked algorithm). More...
 
subroutine ssytrd (UPLO, N, A, LDA, D, E, TAU, WORK, LWORK, INFO)
 SSYTRD More...
 
subroutine ssytrd_2stage (VECT, UPLO, N, A, LDA, D, E, TAU, HOUS2, LHOUS2, WORK, LWORK, INFO)
 SSYTRD_2STAGE More...
 
subroutine ssytrd_sy2sb (UPLO, N, KD, A, LDA, AB, LDAB, TAU, WORK, LWORK, INFO)
 SSYTRD_SY2SB More...
 
subroutine ssytrf (UPLO, N, A, LDA, IPIV, WORK, LWORK, INFO)
 SSYTRF More...
 
subroutine ssytrf_aa (UPLO, N, A, LDA, IPIV, WORK, LWORK, INFO)
 SSYTRF_AA More...
 
subroutine ssytrf_aa_2stage (UPLO, N, A, LDA, TB, LTB, IPIV, IPIV2, WORK, LWORK, INFO)
 SSYTRF_AA_2STAGE More...
 
subroutine ssytrf_rook (UPLO, N, A, LDA, IPIV, WORK, LWORK, INFO)
 SSYTRF_ROOK More...
 
subroutine ssytri (UPLO, N, A, LDA, IPIV, WORK, INFO)
 SSYTRI More...
 
subroutine ssytri2 (UPLO, N, A, LDA, IPIV, WORK, LWORK, INFO)
 SSYTRI2 More...
 
subroutine ssytri2x (UPLO, N, A, LDA, IPIV, WORK, NB, INFO)
 SSYTRI2X More...
 
subroutine ssytri_rook (UPLO, N, A, LDA, IPIV, WORK, INFO)
 SSYTRI_ROOK More...
 
subroutine ssytrs (UPLO, N, NRHS, A, LDA, IPIV, B, LDB, INFO)
 SSYTRS More...
 
subroutine ssytrs2 (UPLO, N, NRHS, A, LDA, IPIV, B, LDB, WORK, INFO)
 SSYTRS2 More...
 
subroutine ssytrs_aa (UPLO, N, NRHS, A, LDA, IPIV, B, LDB, WORK, LWORK, INFO)
 SSYTRS_AA More...
 
subroutine ssytrs_aa_2stage (UPLO, N, NRHS, A, LDA, TB, LTB, IPIV, IPIV2, B, LDB, INFO)
 SSYTRS_AA_2STAGE More...
 
subroutine ssytrs_rook (UPLO, N, NRHS, A, LDA, IPIV, B, LDB, INFO)
 SSYTRS_ROOK More...
 
subroutine stgsyl (TRANS, IJOB, M, N, A, LDA, B, LDB, C, LDC, D, LDD, E, LDE, F, LDF, SCALE, DIF, WORK, LWORK, IWORK, INFO)
 STGSYL More...
 
subroutine strsyl (TRANA, TRANB, ISGN, M, N, A, LDA, B, LDB, C, LDC, SCALE, INFO)
 STRSYL More...
 

Detailed Description

This is the group of real computational functions for SY matrices