chpt01.f - Man Page

TESTING/LIN/chpt01.f

Synopsis

Functions/Subroutines

subroutine chpt01 (uplo, n, a, afac, ipiv, c, ldc, rwork, resid)
CHPT01

Function/Subroutine Documentation

subroutine chpt01 (character uplo, integer n, complex, dimension( * ) a, complex, dimension( * ) afac, integer, dimension( * ) ipiv, complex, dimension( ldc, * ) c, integer ldc, real, dimension( * ) rwork, real resid)

CHPT01

Purpose:

 CHPT01 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 array, dimension (N*(N+1)/2)
          The original Hermitian matrix A, stored as a packed
          triangular matrix.

AFAC

          AFAC is COMPLEX 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 CHPTRF.

IPIV

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

C

          C is COMPLEX array, dimension (LDC,N)

LDC

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

RWORK

          RWORK is REAL array, dimension (N)

RESID

          RESID is REAL
          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 chpt01.f.

Author

Generated automatically by Doxygen for LAPACK from the source code.

Referenced By

The man page chpt01(3) is an alias of chpt01.f(3).

Tue Nov 28 2023 12:08:42 Version 3.12.0 LAPACK