TESTING/LIN/zpot01.f(3)

NAME
TESTING/LIN/zpot01.f

SYNOPSIS

  Functions/Subroutines
subroutine zpot01 (uplo, n, a, lda, afac, ldafac, rwork, resid)
ZPOT01

Function/Subroutine Documentation

  subroutine zpot01 (character uplo, integer n, complex*16, dimension( lda, * ) a, integer lda, complex*16, dimension( ldafac, * ) afac, integer ldafac, double precision, dimension( * ) rwork, double precision resid)

ZPOT01

Purpose:

     ZPOT01 reconstructs a Hermitian positive definite matrix  A  from
     its L*L' or U'*U factorization and computes the residual
        norm( L*L' - A ) / ( N * norm(A) * EPS ) or
        norm( U'*U - 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)
              On entry, the factor L or U from the L * L**H or U**H * U
              factorization of A.
              Overwritten with the reconstructed matrix, and then with
              the difference L * L**H - A (or U**H * U - A).

    LDAFAC

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

    RWORK

              RWORK is DOUBLE PRECISION array, dimension (N)

    RESID

              RESID is DOUBLE PRECISION
              If UPLO = 'L', norm(L * L**H - A) / ( N * norm(A) * EPS )
              If UPLO = 'U', norm(U**H * U - A) / ( N * norm(A) * EPS )

Author
    Univ. of Tennessee

    Univ. of California Berkeley

    Univ. of Colorado Denver

    NAG Ltd.

Definition at line 105 of file zpot01.f.

Author

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