TESTING/LIN/zsyt01_3.f(3)

NAME
TESTING/LIN/zsyt01_3.f

SYNOPSIS

  Functions/Subroutines
subroutine zsyt01_3 (uplo, n, a, lda, afac, ldafac, e, ipiv, c, ldc, rwork, resid)
ZSYT01_3

Function/Subroutine Documentation

  subroutine zsyt01_3 (character uplo, integer n, complex*16, dimension( lda, * ) a, integer lda, complex*16, dimension( ldafac, * ) afac, integer ldafac, complex*16, dimension( * ) e, integer, dimension( * ) ipiv, complex*16, dimension( ldc, * ) c, integer ldc, double precision, dimension( * ) rwork, double precision resid)

ZSYT01_3

Purpose:

     ZSYT01_3 reconstructs a symmetric indefinite matrix A from its
     block L*D*L' or U*D*U' factorization computed by ZSYTRF_RK
     (or ZSYTRF_BK) and computes the residual
        norm( C - A ) / ( N * norm(A) * EPS ),
     where C is the reconstructed matrix and EPS is the machine epsilon.

Parameters
    UPLO

              UPLO is CHARACTER*1
              Specifies whether the upper or lower triangular part of the
              symmetric 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 symmetric 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)
              Diagonal of the block diagonal matrix D and factors U or L
              as computed by ZSYTRF_RK and ZSYTRF_BK:
                a) ONLY diagonal elements of the symmetric block diagonal
                   matrix D on the diagonal of A, i.e. D(k,k) = A(k,k);
                   (superdiagonal (or subdiagonal) elements of D
                    should be provided on entry in array E), and
                b) If UPLO = 'U': factor U in the superdiagonal part of A.
                   If UPLO = 'L': factor L in the subdiagonal part of A.

    LDAFAC

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

    E

              E is COMPLEX*16 array, dimension (N)
              On entry, contains the superdiagonal (or subdiagonal)
              elements of the symmetric block diagonal matrix D
              with 1-by-1 or 2-by-2 diagonal blocks, where
              If UPLO = 'U': E(i) = D(i-1,i),i=2:N, E(1) not referenced;
              If UPLO = 'L': E(i) = D(i+1,i),i=1:N-1, E(N) not referenced.

    IPIV

              IPIV is INTEGER array, dimension (N)
              The pivot indices from ZSYTRF_RK (or ZSYTRF_BK).

    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 139 of file zsyt01_3.f.

Author

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