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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