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Man Pages
TESTING/LIN/dspt01.f(3) LAPACK TESTING/LIN/dspt01.f(3)

TESTING/LIN/dspt01.f


subroutine dspt01 (uplo, n, a, afac, ipiv, c, ldc, rwork, resid)
DSPT01

DSPT01

Purpose:


DSPT01 reconstructs a symmetric 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 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 (N*(N+1)/2)
The original symmetric matrix A, stored as a packed
triangular matrix.

AFAC


AFAC is DOUBLE PRECISION 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 DSPTRF.

IPIV


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

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 109 of file dspt01.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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