TESTING/LIN/zhpt01.f(3)

NAME
TESTING/LIN/zhpt01.f

SYNOPSIS

  Functions/Subroutines
subroutine zhpt01 (uplo, n, a, afac, ipiv, c, ldc, rwork, resid)
ZHPT01

Function/Subroutine Documentation

  subroutine zhpt01 (character uplo, integer n, complex*16, dimension( * ) a, complex*16, dimension( * ) afac, integer, dimension( * ) ipiv, complex*16, dimension( ldc, * ) c, integer ldc, double precision, dimension( * ) rwork, double precision resid)

ZHPT01

Purpose:

    !>
    !> ZHPT01 reconstructs a Hermitian indefinite packed matrix A from its
    !> block L*D*L' or U*D*U' factorization and computes the residual
    !>    norm( C - A ) / ( N * norm(A) * EPS ),
    !> where C is the reconstructed matrix, 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 (N*(N+1)/2)
    !>          The original Hermitian matrix A, stored as a packed
    !>          triangular matrix.
    !>

    AFAC

    !>          AFAC is COMPLEX*16 array, dimension (N*(N+1)/2)
    !>          The factored form of the matrix A, stored as a packed
    !>          triangular matrix.  AFAC contains the block diagonal matrix D
    !>          and the multipliers used to obtain the factor L or U from the
    !>          block L*D*L' or U*D*U' factorization as computed by ZHPTRF.
    !>

    IPIV

    !>          IPIV is INTEGER array, dimension (N)
    !>          The pivot indices from ZHPTRF.
    !>

    C

    !>          C is COMPLEX*16 array, dimension (LDC,N)
    !>

    LDC

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

    RWORK

    !>          RWORK is DOUBLE PRECISION array, dimension (N)
    !>

    RESID

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

Author
    Univ. of Tennessee

    Univ. of California Berkeley

    Univ. of Colorado Denver

    NAG Ltd.

Definition at line 112 of file zhpt01.f.

Author

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