table of contents
/home/abuild/rpmbuild/BUILD/lapack-3.12.0/SRC/zlaein.f(3) | Library Functions Manual | /home/abuild/rpmbuild/BUILD/lapack-3.12.0/SRC/zlaein.f(3) |
NAME¶
/home/abuild/rpmbuild/BUILD/lapack-3.12.0/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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Version 3.12.0 | LAPACK |