dpot03.f - Man Page

TESTING/LIN/dpot03.f

Synopsis

Functions/Subroutines

subroutine dpot03 (uplo, n, a, lda, ainv, ldainv, work, ldwork, rwork, rcond, resid)
DPOT03

Function/Subroutine Documentation

subroutine dpot03 (character uplo, integer n, double precision, dimension( lda, * ) a, integer lda, double precision, dimension( ldainv, * ) ainv, integer ldainv, double precision, dimension( ldwork, * ) work, integer ldwork, double precision, dimension( * ) rwork, double precision rcond, double precision resid)

DPOT03

Purpose:

DPOT03 computes the residual for a symmetric matrix times its
inverse:
norm( I - A*AINV ) / ( N * norm(A) * norm(AINV) * EPS ),
where 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)

AINV

AINV is DOUBLE PRECISION array, dimension (LDAINV,N)
On entry, the inverse of the matrix A, stored as a symmetric
matrix in the same format as A.
In this version, AINV is expanded into a full matrix and
multiplied by A, so the opposing triangle of AINV will be
changed; i.e., if the upper triangular part of AINV is
stored, the lower triangular part will be used as work space.

LDAINV

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

WORK

WORK is DOUBLE PRECISION array, dimension (LDWORK,N)

LDWORK

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

RWORK

RWORK is DOUBLE PRECISION array, dimension (N)

RCOND

RCOND is DOUBLE PRECISION
The reciprocal of the condition number of A, computed as
( 1/norm(A) ) / norm(AINV).

RESID

RESID is DOUBLE PRECISION
norm(I - A*AINV) / ( N * norm(A) * norm(AINV) * EPS )
Author

Univ. of Tennessee

Univ. of California Berkeley

NAG Ltd.

Definition at line 123 of file dpot03.f.

Author

Generated automatically by Doxygen for LAPACK from the source code.

Referenced By

The man page dpot03(3) is an alias of dpot03.f(3).

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