# dsyt01_rook.f - Man Page

TESTING/LIN/dsyt01_rook.f

## Synopsis

### Functions/Subroutines

subroutine **dsyt01_rook** (uplo, n, a, lda, afac, ldafac, ipiv, c, ldc, rwork, resid)**DSYT01_ROOK**

## Function/Subroutine Documentation

### subroutine dsyt01_rook (character uplo, integer n, double precision, dimension( lda, * ) a, integer lda, double precision, dimension( ldafac, * ) afac, integer ldafac, integer, dimension( * ) ipiv, double precision, dimension( ldc, * ) c, integer ldc, double precision, dimension( * ) rwork, double precision resid)

**DSYT01_ROOK**

**Purpose:**

DSYT01_ROOK reconstructs a symmetric indefinite 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 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 DOUBLE PRECISION 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 DOUBLE PRECISION array, dimension (LDAFAC,N) The factored form of the matrix A. 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 DSYTRF_ROOK.

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

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

*C*C is DOUBLE PRECISION 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 **122** of file **dsyt01_rook.f**.

## Author

Generated automatically by Doxygen for LAPACK from the source code.

## Referenced By

The man page dsyt01_rook(3) is an alias of dsyt01_rook.f(3).

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