TESTING/LIN/cpst01.f(3)

NAME
TESTING/LIN/cpst01.f

SYNOPSIS

  Functions/Subroutines
subroutine cpst01 (uplo, n, a, lda, afac, ldafac, perm, ldperm, piv, rwork, resid, rank)
CPST01

Function/Subroutine Documentation

  subroutine cpst01 (character uplo, integer n, complex, dimension( lda, * ) a, integer lda, complex, dimension( ldafac, * ) afac, integer ldafac, complex, dimension( ldperm, * ) perm, integer ldperm, integer, dimension( * ) piv, real, dimension( * ) rwork, real resid, integer rank)

CPST01

Purpose:

    !>
    !> CPST01 reconstructs an Hermitian positive semidefinite matrix A
    !> from its L or U factors and the permutation matrix P and computes
    !> the residual
    !>    norm( P*L*L'*P' - A ) / ( N * norm(A) * EPS ) or
    !>    norm( P*U'*U*P' - A ) / ( N * norm(A) * EPS ),
    !> where EPS is the machine epsilon, L' is the conjugate transpose of L,
    !> and U' is the conjugate transpose of U.
    !>

Parameters
    UPLO

    !>          UPLO is CHARACTER*1
    !>          Specifies whether the upper or lower triangular part of the
    !>          Hermitian matrix A is stored:
    !>          = 'U':  Upper triangular
    !>          = 'L':  Lower triangular
    !>

    N

    !>          N is INTEGER
    !>          The number of rows and columns of the matrix A.  N >= 0.
    !>

    A

    !>          A is COMPLEX array, dimension (LDA,N)
    !>          The original Hermitian matrix A.
    !>

    LDA

    !>          LDA is INTEGER
    !>          The leading dimension of the array A.  LDA >= max(1,N)
    !>

    AFAC

    !>          AFAC is COMPLEX array, dimension (LDAFAC,N)
    !>          The factor L or U from the L*L' or U'*U
    !>          factorization of A.
    !>

    LDAFAC

    !>          LDAFAC is INTEGER
    !>          The leading dimension of the array AFAC.  LDAFAC >= max(1,N).
    !>

    PERM

    !>          PERM is COMPLEX array, dimension (LDPERM,N)
    !>          Overwritten with the reconstructed matrix, and then with the
    !>          difference P*L*L'*P' - A (or P*U'*U*P' - A)
    !>

    LDPERM

    !>          LDPERM is INTEGER
    !>          The leading dimension of the array PERM.
    !>          LDAPERM >= max(1,N).
    !>

    PIV

    !>          PIV is INTEGER array, dimension (N)
    !>          PIV is such that the nonzero entries are
    !>          P( PIV( K ), K ) = 1.
    !>

    RWORK

    !>          RWORK is REAL array, dimension (N)
    !>

    RESID

    !>          RESID is REAL
    !>          If UPLO = 'L', norm(L*L' - A) / ( N * norm(A) * EPS )
    !>          If UPLO = 'U', norm(U'*U - A) / ( N * norm(A) * EPS )
    !>

    RANK

    !>          RANK is INTEGER
    !>          number of nonzero singular values of A.
    !>

Author
    Univ. of Tennessee

    Univ. of California Berkeley

    Univ. of Colorado Denver

    NAG Ltd.

Definition at line 134 of file cpst01.f.

Author

Generated automatically by Doxygen for LAPACK from the source code.