table of contents
other versions
- wheezy 3.4.1+dfsg-1+deb70u1
- jessie 3.5.0-4
- jessie-backports 3.7.0-1~bpo8+1
- testing 3.7.0-2
- unstable 3.7.0-2
zgtcon.f(3) | LAPACK | zgtcon.f(3) |
NAME¶
zgtcon.f -SYNOPSIS¶
Functions/Subroutines¶
subroutine zgtcon (NORM, N, DL, D, DU, DU2, IPIV, ANORM, RCOND, WORK, INFO)
Function/Subroutine Documentation¶
subroutine zgtcon (characterNORM, integerN, complex*16, dimension( * )DL, complex*16, dimension( * )D, complex*16, dimension( * )DU, complex*16, dimension( * )DU2, integer, dimension( * )IPIV, double precisionANORM, double precisionRCOND, complex*16, dimension( * )WORK, integerINFO)¶
ZGTCON Purpose:ZGTCON estimates the reciprocal of the condition number of a complex tridiagonal matrix A using the LU factorization as computed by ZGTTRF. An estimate is obtained for norm(inv(A)), and the reciprocal of the condition number is computed as RCOND = 1 / (ANORM * norm(inv(A))).
NORM
N
DL
D
DU
DU2
IPIV
ANORM
RCOND
WORK
INFO
Author:
NORM is CHARACTER*1 Specifies whether the 1-norm condition number or the infinity-norm condition number is required: = '1' or 'O': 1-norm; = 'I': Infinity-norm.
N is INTEGER The order of the matrix A. N >= 0.
DL is COMPLEX*16 array, dimension (N-1) The (n-1) multipliers that define the matrix L from the LU factorization of A as computed by ZGTTRF.
D is COMPLEX*16 array, dimension (N) The n diagonal elements of the upper triangular matrix U from the LU factorization of A.
DU is COMPLEX*16 array, dimension (N-1) The (n-1) elements of the first superdiagonal of U.
DU2 is COMPLEX*16 array, dimension (N-2) The (n-2) elements of the second superdiagonal of U.
IPIV is INTEGER array, dimension (N) The pivot indices; for 1 <= i <= n, row i of the matrix was interchanged with row IPIV(i). IPIV(i) will always be either i or i+1; IPIV(i) = i indicates a row interchange was not required.
ANORM is DOUBLE PRECISION If NORM = '1' or 'O', the 1-norm of the original matrix A. If NORM = 'I', the infinity-norm of the original matrix A.
RCOND 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.
WORK is COMPLEX*16 array, dimension (2*N)
INFO is INTEGER = 0: successful exit < 0: if INFO = -i, the i-th argument had an illegal value
Univ. of Tennessee
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
Date:
November 2011
Author¶
Generated automatically by Doxygen for LAPACK from the source code.Sun May 26 2013 | Version 3.4.1 |