LAPACK 3.11.0
LAPACK: Linear Algebra PACKage
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Collaboration diagram for complex:

Functions

subroutine checon (uplo, n, a, lda, ipiv, anorm, rcond, work, info)
 CHECON
 
subroutine checon_3 (uplo, n, a, lda, e, ipiv, anorm, rcond, work, info)
 CHECON_3
 
subroutine checon_rook (uplo, n, a, lda, ipiv, anorm, rcond, work, info)
  CHECON_ROOK estimates the reciprocal of the condition number fort HE matrices using factorization obtained with one of the bounded diagonal pivoting methods (max 2 interchanges)
 
subroutine cheequb (uplo, n, a, lda, s, scond, amax, work, info)
 CHEEQUB
 
subroutine chegs2 (itype, uplo, n, a, lda, b, ldb, info)
 CHEGS2 reduces a Hermitian definite generalized eigenproblem to standard form, using the factorization results obtained from cpotrf (unblocked algorithm).
 
subroutine chegst (itype, uplo, n, a, lda, b, ldb, info)
 CHEGST
 
subroutine cherfs (uplo, n, nrhs, a, lda, af, ldaf, ipiv, b, ldb, x, ldx, ferr, berr, work, rwork, info)
 CHERFS
 
subroutine cherfsx (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, rwork, info)
 CHERFSX
 
subroutine chetd2 (uplo, n, a, lda, d, e, tau, info)
 CHETD2 reduces a Hermitian matrix to real symmetric tridiagonal form by an unitary similarity transformation (unblocked algorithm).
 
subroutine chetf2 (uplo, n, a, lda, ipiv, info)
 CHETF2 computes the factorization of a complex Hermitian matrix, using the diagonal pivoting method (unblocked algorithm calling Level 2 BLAS).
 
subroutine chetf2_rk (uplo, n, a, lda, e, ipiv, info)
 CHETF2_RK computes the factorization of a complex Hermitian indefinite matrix using the bounded Bunch-Kaufman (rook) diagonal pivoting method (BLAS2 unblocked algorithm).
 
subroutine chetf2_rook (uplo, n, a, lda, ipiv, info)
 CHETF2_ROOK computes the factorization of a complex Hermitian indefinite matrix using the bounded Bunch-Kaufman ("rook") diagonal pivoting method (unblocked algorithm).
 
subroutine chetrd (uplo, n, a, lda, d, e, tau, work, lwork, info)
 CHETRD
 
subroutine chetrd_2stage (vect, uplo, n, a, lda, d, e, tau, hous2, lhous2, work, lwork, info)
 CHETRD_2STAGE
 
subroutine chetrd_he2hb (uplo, n, kd, a, lda, ab, ldab, tau, work, lwork, info)
 CHETRD_HE2HB
 
subroutine chetrf (uplo, n, a, lda, ipiv, work, lwork, info)
 CHETRF
 
subroutine chetrf_aa (uplo, n, a, lda, ipiv, work, lwork, info)
 CHETRF_AA
 
subroutine chetrf_rk (uplo, n, a, lda, e, ipiv, work, lwork, info)
 CHETRF_RK computes the factorization of a complex Hermitian indefinite matrix using the bounded Bunch-Kaufman (rook) diagonal pivoting method (BLAS3 blocked algorithm).
 
subroutine chetrf_rook (uplo, n, a, lda, ipiv, work, lwork, info)
 CHETRF_ROOK computes the factorization of a complex Hermitian indefinite matrix using the bounded Bunch-Kaufman ("rook") diagonal pivoting method (blocked algorithm, calling Level 3 BLAS).
 
subroutine chetri (uplo, n, a, lda, ipiv, work, info)
 CHETRI
 
subroutine chetri2 (uplo, n, a, lda, ipiv, work, lwork, info)
 CHETRI2
 
subroutine chetri2x (uplo, n, a, lda, ipiv, work, nb, info)
 CHETRI2X
 
subroutine chetri_3 (uplo, n, a, lda, e, ipiv, work, lwork, info)
 CHETRI_3
 
subroutine chetri_3x (uplo, n, a, lda, e, ipiv, work, nb, info)
 CHETRI_3X
 
subroutine chetri_rook (uplo, n, a, lda, ipiv, work, info)
 CHETRI_ROOK computes the inverse of HE matrix using the factorization obtained with the bounded Bunch-Kaufman ("rook") diagonal pivoting method.
 
subroutine chetrs (uplo, n, nrhs, a, lda, ipiv, b, ldb, info)
 CHETRS
 
subroutine chetrs2 (uplo, n, nrhs, a, lda, ipiv, b, ldb, work, info)
 CHETRS2
 
subroutine chetrs_3 (uplo, n, nrhs, a, lda, e, ipiv, b, ldb, info)
 CHETRS_3
 
subroutine chetrs_aa (uplo, n, nrhs, a, lda, ipiv, b, ldb, work, lwork, info)
 CHETRS_AA
 
subroutine chetrs_rook (uplo, n, nrhs, a, lda, ipiv, b, ldb, info)
 CHETRS_ROOK computes the solution to a system of linear equations A * X = B for HE matrices using factorization obtained with one of the bounded diagonal pivoting methods (max 2 interchanges)
 
subroutine cla_heamv (uplo, n, alpha, a, lda, x, incx, beta, y, incy)
 CLA_HEAMV computes a matrix-vector product using a Hermitian indefinite matrix to calculate error bounds.
 
real function cla_hercond_c (uplo, n, a, lda, af, ldaf, ipiv, c, capply, info, work, rwork)
 CLA_HERCOND_C computes the infinity norm condition number of op(A)*inv(diag(c)) for Hermitian indefinite matrices.
 
real function cla_hercond_x (uplo, n, a, lda, af, ldaf, ipiv, x, info, work, rwork)
 CLA_HERCOND_X computes the infinity norm condition number of op(A)*diag(x) for Hermitian indefinite matrices.
 
subroutine cla_herfsx_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)
 CLA_HERFSX_EXTENDED improves the computed solution to a system of linear equations for Hermitian indefinite matrices by performing extra-precise iterative refinement and provides error bounds and backward error estimates for the solution.
 
real function cla_herpvgrw (uplo, n, info, a, lda, af, ldaf, ipiv, work)
 CLA_HERPVGRW
 
subroutine clahef (uplo, n, nb, kb, a, lda, ipiv, w, ldw, info)
 CLAHEF computes a partial factorization of a complex Hermitian indefinite matrix using the Bunch-Kaufman diagonal pivoting method (blocked algorithm, calling Level 3 BLAS).
 
subroutine clahef_rk (uplo, n, nb, kb, a, lda, e, ipiv, w, ldw, info)
 CLAHEF_RK computes a partial factorization of a complex Hermitian indefinite matrix using bounded Bunch-Kaufman (rook) diagonal pivoting method.
 
subroutine clahef_rook (uplo, n, nb, kb, a, lda, ipiv, w, ldw, info)
  Download CLAHEF_ROOK + dependencies [TGZ] [ZIP] [TXT]
 

Detailed Description

This is the group of complex computational functions for HE matrices