checon_rook.f(3) LAPACK checon_rook.f(3)NAME
checon_rook.f -
SYNOPSIS
Functions/Subroutines
subroutine checon_rook (UPLO, N, A, LDA, IPIV, ANORM, RCOND, WORK,
INFO)
CHECON_ROOK estimates the reciprocal of the condition number fort
HE matrices using factorization obtained with one of the bounded
diagonal pivoting methods (max 2 interchanges)
Function/Subroutine Documentation
subroutine checon_rook (characterUPLO, integerN, complex, dimension( lda, *
)A, integerLDA, integer, dimension( * )IPIV, realANORM, realRCOND,
complex, dimension( * )WORK, integerINFO)
CHECON_ROOK estimates the reciprocal of the condition number fort HE
matrices using factorization obtained with one of the bounded diagonal
pivoting methods (max 2 interchanges)
Purpose:
CHECON_ROOK estimates the reciprocal of the condition number of a complex
Hermitian matrix A using the factorization A = U*D*U**H or
A = L*D*L**H computed by CHETRF_ROOK.
An estimate is obtained for norm(inv(A)), and the reciprocal of the
condition number is computed as RCOND = 1 / (ANORM * norm(inv(A))).
Parameters:
UPLO
UPLO is CHARACTER*1
Specifies whether the details of the factorization are stored
as an upper or lower triangular matrix.
= 'U': Upper triangular, form is A = U*D*U**H;
= 'L': Lower triangular, form is A = L*D*L**H.
N
N is INTEGER
The order of the matrix A. N >= 0.
A
A is COMPLEX array, dimension (LDA,N)
The block diagonal matrix D and the multipliers used to
obtain the factor U or L as computed by CHETRF_ROOK.
LDA
LDA is INTEGER
The leading dimension of the array A. LDA >= max(1,N).
IPIV
IPIV is INTEGER array, dimension (N)
Details of the interchanges and the block structure of D
as determined by CHETRF_ROOK.
ANORM
ANORM is REAL
The 1-norm of the original matrix A.
RCOND
RCOND is REAL
The reciprocal of the condition number of the matrix A,
computed as RCOND = 1/(ANORM * AINVNM), where AINVNM is an
estimate of the 1-norm of inv(A) computed in this routine.
WORK
WORK is COMPLEX array, dimension (2*N)
INFO
INFO is INTEGER
= 0: successful exit
< 0: if INFO = -i, the i-th argument had an illegal value
Author:
Univ. of Tennessee
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
Date:
November 2013
Contributors:
November 2013, Igor Kozachenko, Computer Science Division, University
of California, Berkeley
September 2007, Sven Hammarling, Nicholas J. Higham, Craig Lucas,
School of Mathematics, University of Manchester
Definition at line 139 of file checon_rook.f.
Author
Generated automatically by Doxygen for LAPACK from the source code.
Version 3.4.2 Sat Nov 16 2013 checon_rook.f(3)
