TESTING/LIN/zpst01.f(3)

NAME
TESTING/LIN/zpst01.f

SYNOPSIS

  Functions/Subroutines
subroutine zpst01 (uplo, n, a, lda, afac, ldafac, perm, ldperm, piv, rwork, resid, rank)
ZPST01

Function/Subroutine Documentation

  subroutine zpst01 (character uplo, integer n, complex*16, dimension( lda, * ) a, integer lda, complex*16, dimension( ldafac, * ) afac, integer ldafac, complex*16, dimension( ldperm, * ) perm, integer ldperm, integer, dimension( * ) piv, double precision, dimension( * ) rwork, double precision resid, integer rank)

ZPST01

Purpose:

     ZPST01 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*16 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*16 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*16 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 DOUBLE PRECISION array, dimension (N)

    RESID

              RESID is DOUBLE PRECISION
              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 zpst01.f.

Author

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