# zhpt01.f - Man Page

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

Generated automatically by Doxygen for LAPACK from the source code.

## Referenced By

The man page zhpt01(3) is an alias of zhpt01.f(3).

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