SRC/zlaein.f(3) | Library Functions Manual | SRC/zlaein.f(3) |
NAME
SRC/zlaein.f
SYNOPSIS
Functions/Subroutines
subroutine 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.
Definition at line 147 of file zlaein.f.
Author
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