zspt01.f - Man Page

TESTING/LIN/zspt01.f

Synopsis

Functions/Subroutines

subroutine zspt01 (uplo, n, a, afac, ipiv, c, ldc, rwork, resid)
ZSPT01

Function/Subroutine Documentation

subroutine zspt01 (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)

ZSPT01

Purpose:

 ZSPT01 reconstructs a symmetric indefinite packed matrix A from its
 diagonal pivoting factorization A = U*D*U' or A = L*D*L' 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
          Hermitian matrix A is stored:
          = 'U':  Upper triangular
          = 'L':  Lower triangular

N

          N is INTEGER
          The order of the matrix A.  N >= 0.

A

          A is COMPLEX*16 array, dimension (N*(N+1)/2)
          The original symmetric 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
          L*D*L' or U*D*U' factorization as computed by ZSPTRF.

IPIV

          IPIV is INTEGER array, dimension (N)
          The pivot indices from ZSPTRF.

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 111 of file zspt01.f.

Author

Generated automatically by Doxygen for LAPACK from the source code.

Referenced By

The man page zspt01(3) is an alias of zspt01.f(3).

Tue Nov 28 2023 12:08:43 Version 3.12.0 LAPACK