table of contents
/home/abuild/rpmbuild/BUILD/lapack-3.12.0/TESTING/LIN/dpst01.f(3) | Library Functions Manual | /home/abuild/rpmbuild/BUILD/lapack-3.12.0/TESTING/LIN/dpst01.f(3) |
NAME¶
/home/abuild/rpmbuild/BUILD/lapack-3.12.0/TESTING/LIN/dpst01.f
SYNOPSIS¶
Functions/Subroutines¶
subroutine DPST01 (uplo, n, a, lda, afac, ldafac, perm,
ldperm, piv, rwork, resid, rank)
DPST01
Function/Subroutine Documentation¶
subroutine DPST01 (character uplo, integer n, double precision, dimension( lda, * ) a, integer lda, double precision, dimension( ldafac, * ) afac, integer ldafac, double precision, dimension( ldperm, * ) perm, integer ldperm, integer, dimension( * ) piv, double precision, dimension( * ) rwork, double precision resid, integer rank)¶
DPST01
Purpose:
!> !> DPST01 reconstructs a symmetric positive semidefinite matrix A !> from its L or U factors and the permutation matrix P and computes !> the residual !> norm( P*L*L'*P' - A ) / ( N * norm(A) * EPS ) or !> norm( P*U'*U*P' - A ) / ( N * norm(A) * 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) !>
AFAC
!> AFAC is DOUBLE PRECISION array, dimension (LDAFAC,N) !> The factor L or U from the L*L' or U'*U !> factorization of A. !>
LDAFAC
!> LDAFAC is INTEGER !> The leading dimension of the array AFAC. LDAFAC >= max(1,N). !>
PERM
!> PERM is DOUBLE PRECISION array, dimension (LDPERM,N) !> Overwritten with the reconstructed matrix, and then with the !> difference P*L*L'*P' - A (or P*U'*U*P' - A) !>
LDPERM
!> LDPERM is INTEGER !> The leading dimension of the array PERM. !> LDAPERM >= max(1,N). !>
PIV
!> PIV is INTEGER array, dimension (N) !> PIV is such that the nonzero entries are !> P( PIV( K ), K ) = 1. !>
RWORK
!> RWORK is DOUBLE PRECISION array, dimension (N) !>
RESID
!> RESID is DOUBLE PRECISION !> If UPLO = 'L', norm(L*L' - A) / ( N * norm(A) * EPS ) !> If UPLO = 'U', norm(U'*U - A) / ( N * norm(A) * EPS ) !>
RANK
!> RANK is INTEGER !> number of nonzero singular values of A. !>
Author
Univ. of Tennessee
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
Definition at line 132 of file dpst01.f.
Author¶
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