zlaein.f - Online Linux Manual PageSection : 3
Updated : Tue Nov 14 2017
Source : Version 3.8.0
Note : LAPACK
NAMEzlaein.f
SYNOPSIS
Functions/Subroutinessubroutine zlaein (RIGHTV, NOINIT, N, H, LDH, W, V, B, LDB, RWORK, EPS3, SMLNUM, INFO)
ZLAEIN computes a specified right or left eigenvector of an upper Hessenberg matrix by inverse iteration.
Function/Subroutine Documentation
subroutine zlaein (logical RIGHTV, logical NOINIT, integer N, complex*16, dimension( ldh, * ) H, integer LDH, complex*16 W, complex*16, dimension( * ) V, complex*16, dimension( ldb, * ) B, integer LDB, double precision, dimension( * ) RWORK, double precision EPS3, double precision SMLNUM, integer INFO)ZLAEIN computes a specified right or left eigenvector of an upper Hessenberg matrix by inverse iteration. Purpose: ZLAEIN uses inverse iteration to find a right or left eigenvector
corresponding to the eigenvalue W of a complex upper Hessenberg
matrix H.Parameters: RIGHTV RIGHTV is LOGICAL
= .TRUE. : compute right eigenvector;
= .FALSE.: compute left eigenvector.
NOINIT NOINIT is LOGICAL
= .TRUE. : no initial vector supplied in V
= .FALSE.: initial vector supplied in V.
N N is INTEGER
The order of the matrix H. N >= 0.
H H is COMPLEX*16 array, dimension (LDH,N)
The upper Hessenberg matrix H.
LDH LDH is INTEGER
The leading dimension of the array H. LDH >= max(1,N).
W W is COMPLEX*16
The eigenvalue of H whose corresponding right or left
eigenvector is to be computed.
V V is COMPLEX*16 array, dimension (N)
On entry, if NOINIT = .FALSE., V must contain a starting
vector for inverse iteration; otherwise V need not be set.
On exit, V contains the computed eigenvector, normalized so
that the component of largest magnitude has magnitude 1; here
the magnitude of a complex number (x,y) is taken to be
|x| + |y|.
B B is COMPLEX*16 array, dimension (LDB,N)
LDB LDB is INTEGER
The leading dimension of the array B. LDB >= max(1,N).
RWORK RWORK is DOUBLE PRECISION array, dimension (N)
EPS3 EPS3 is DOUBLE PRECISION
A small machine-dependent value which is used to perturb
close eigenvalues, and to replace zero pivots.
SMLNUM SMLNUM is DOUBLE PRECISION
A machine-dependent value close to the underflow threshold.
INFO INFO is INTEGER
= 0: successful exit
= 1: inverse iteration did not converge; V is set to the
last iterate.Author: Univ. of Tennessee Univ. of California Berkeley Univ. of Colorado Denver NAG Ltd. Date: December 2016 Definition at line 151 of file zlaein.f.
AuthorGenerated automatically by Doxygen for LAPACK from the source code. 0
Johanes Gumabo
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