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Man Pages
TESTING/LIN/chpt01.f(3) LAPACK TESTING/LIN/chpt01.f(3)

TESTING/LIN/chpt01.f


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

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.

Generated automatically by Doxygen for LAPACK from the source code.

Sun Jan 12 2025 15:13:34 Version 3.12.1

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