LAPACK 3.11.0
LAPACK: Linear Algebra PACKage
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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.
 
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.
 
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.
 
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.
 
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.
 
subroutine slasyf_aa (uplo, j1, m, nb, a, lda, ipiv, h, ldh, work)
 SLASYF_AA
 
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.
 
subroutine ssycon (uplo, n, a, lda, ipiv, anorm, rcond, work, iwork, info)
 SSYCON
 
subroutine ssycon_rook (uplo, n, a, lda, ipiv, anorm, rcond, work, iwork, info)
  SSYCON_ROOK
 
subroutine ssyconv (uplo, way, n, a, lda, ipiv, e, info)
 SSYCONV
 
subroutine ssyequb (uplo, n, a, lda, s, scond, amax, work, info)
 SSYEQUB
 
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).
 
subroutine ssygst (itype, uplo, n, a, lda, b, ldb, info)
 SSYGST
 
subroutine ssyrfs (uplo, n, nrhs, a, lda, af, ldaf, ipiv, b, ldb, x, ldx, ferr, berr, work, iwork, info)
 SSYRFS
 
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
 
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).
 
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).
 
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).
 
subroutine ssytrd (uplo, n, a, lda, d, e, tau, work, lwork, info)
 SSYTRD
 
subroutine ssytrd_2stage (vect, uplo, n, a, lda, d, e, tau, hous2, lhous2, work, lwork, info)
 SSYTRD_2STAGE
 
subroutine ssytrd_sy2sb (uplo, n, kd, a, lda, ab, ldab, tau, work, lwork, info)
 SSYTRD_SY2SB
 
subroutine ssytrf (uplo, n, a, lda, ipiv, work, lwork, info)
 SSYTRF
 
subroutine ssytrf_aa (uplo, n, a, lda, ipiv, work, lwork, info)
 SSYTRF_AA
 
subroutine ssytrf_aa_2stage (uplo, n, a, lda, tb, ltb, ipiv, ipiv2, work, lwork, info)
 SSYTRF_AA_2STAGE
 
subroutine ssytrf_rook (uplo, n, a, lda, ipiv, work, lwork, info)
 SSYTRF_ROOK
 
subroutine ssytri (uplo, n, a, lda, ipiv, work, info)
 SSYTRI
 
subroutine ssytri2 (uplo, n, a, lda, ipiv, work, lwork, info)
 SSYTRI2
 
subroutine ssytri2x (uplo, n, a, lda, ipiv, work, nb, info)
 SSYTRI2X
 
subroutine ssytri_rook (uplo, n, a, lda, ipiv, work, info)
 SSYTRI_ROOK
 
subroutine ssytrs (uplo, n, nrhs, a, lda, ipiv, b, ldb, info)
 SSYTRS
 
subroutine ssytrs2 (uplo, n, nrhs, a, lda, ipiv, b, ldb, work, info)
 SSYTRS2
 
subroutine ssytrs_aa (uplo, n, nrhs, a, lda, ipiv, b, ldb, work, lwork, info)
 SSYTRS_AA
 
subroutine ssytrs_aa_2stage (uplo, n, nrhs, a, lda, tb, ltb, ipiv, ipiv2, b, ldb, info)
 SSYTRS_AA_2STAGE
 
subroutine ssytrs_rook (uplo, n, nrhs, a, lda, ipiv, b, ldb, info)
 SSYTRS_ROOK
 
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
 
subroutine strsyl (trana, tranb, isgn, m, n, a, lda, b, ldb, c, ldc, scale, info)
 STRSYL
 

Detailed Description

This is the group of real computational functions for SY matrices