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LAPACK-3

man page of LAPACK-3

LAPACK-3: uses inverse iteration to find a right or left eigenvector corresponding to the eigenvalue W of a complex upper

NAME

LAPACK-3 - uses inverse iteration to find a right or left eigenvector corresponding to the eigenvalue W of a complex upper Hessenberg matrix H

SYNOPSIS

SUBROUTINE ZLAEIN( RIGHTV, NOINIT, N, H, LDH, W, V, B, LDB, RWORK, EPS3, SMLNUM, INFO ) LOGICAL NOINIT, RIGHTV INTEGER INFO, LDB, LDH, N DOUBLE PRECISION EPS3, SMLNUM COMPLEX*16 W DOUBLE PRECISION RWORK( * ) COMPLEX*16 B( LDB, * ), H( LDH, * ), V( * )
PURPOSE
ZLAEIN uses inverse iteration to find a right or left eigenvector corresponding to the eigenvalue W of a complex upper Hessenberg matrix H.
ARGUMENTS
RIGHTV (input) LOGICAL = .TRUE. : compute right eigenvector; = .FALSE.: compute left eigenvector. NOINIT (input) LOGICAL = .TRUE. : no initial vector supplied in V = .FALSE.: initial vector supplied in V. N (input) INTEGER The order of the matrix H. N >= 0. H (input) COMPLEX*16 array, dimension (LDH,N) The upper Hessenberg matrix H. LDH (input) INTEGER The leading dimension of the array H. LDH >= max(1,N). W (input) COMPLEX*16 The eigenvalue of H whose corresponding right or left eigenvector is to be computed. V (input/output) 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 (workspace) COMPLEX*16 array, dimension (LDB,N) LDB (input) INTEGER The leading dimension of the array B. LDB >= max(1,N). RWORK (workspace) DOUBLE PRECISION array, dimension (N) EPS3 (input) DOUBLE PRECISION A small machine-dependent value which is used to perturb close eigenvalues, and to replace zero pivots. SMLNUM (input) DOUBLE PRECISION A machine-dependent value close to the underflow threshold. INFO (output) INTEGER = 0: successful exit = 1: inverse iteration did not converge; V is set to the last iterate. LAPACK auxiliary routine (versionMarch 2011 LAPACK-3(3)
 
 
 

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