zhpcon.f (3) - Linux Manuals
NAME
zhpcon.f -
SYNOPSIS
Functions/Subroutines
subroutine zhpcon (UPLO, N, AP, IPIV, ANORM, RCOND, WORK, INFO)
ZHPCON
Function/Subroutine Documentation
subroutine zhpcon (characterUPLO, integerN, complex*16, dimension( * )AP, integer, dimension( * )IPIV, double precisionANORM, double precisionRCOND, complex*16, dimension( * )WORK, integerINFO)
ZHPCON
Purpose:
-
ZHPCON estimates the reciprocal of the condition number of a complex Hermitian packed matrix A using the factorization A = U*D*U**H or A = L*D*L**H computed by ZHPTRF. 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.
NN is INTEGER The order of the matrix A. N >= 0.
APAP is COMPLEX*16 array, dimension (N*(N+1)/2) The block diagonal matrix D and the multipliers used to obtain the factor U or L as computed by ZHPTRF, stored as a packed triangular matrix.
IPIVIPIV is INTEGER array, dimension (N) Details of the interchanges and the block structure of D as determined by ZHPTRF.
ANORMANORM is DOUBLE PRECISION The 1-norm of the original matrix A.
RCONDRCOND is DOUBLE PRECISION 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.
WORKWORK is COMPLEX*16 array, dimension (2*N)
INFOINFO 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 2011
Definition at line 119 of file zhpcon.f.
Author
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