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claein.f(3)				      LAPACK				      claein.f(3)

NAME
       claein.f -

SYNOPSIS
   Functions/Subroutines
       subroutine claein (RIGHTV, NOINIT, N, H, LDH, W, V, B, LDB, RWORK, EPS3, SMLNUM, INFO)
	   CLAEIN computes a specified right or left eigenvector of an upper Hessenberg matrix by
	   inverse iteration.

Function/Subroutine Documentation
   subroutine claein (logicalRIGHTV, logicalNOINIT, integerN, complex, dimension( ldh, * )H,
       integerLDH, complexW, complex, dimension( * )V, complex, dimension( ldb, * )B, integerLDB,
       real, dimension( * )RWORK, realEPS3, realSMLNUM, integerINFO)
       CLAEIN computes a specified right or left eigenvector of an upper Hessenberg matrix by
       inverse iteration.

       Purpose:

	    CLAEIN 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 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
		     The eigenvalue of H whose corresponding right or left
		     eigenvector is to be computed.

	   V

		     V is COMPLEX 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 array, dimension (LDB,N)

	   LDB

		     LDB is INTEGER
		     The leading dimension of the array B.  LDB >= max(1,N).

	   RWORK

		     RWORK is REAL array, dimension (N)

	   EPS3

		     EPS3 is REAL
		     A small machine-dependent value which is used to perturb
		     close eigenvalues, and to replace zero pivots.

	   SMLNUM

		     SMLNUM is REAL
		     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:
	   September 2012

       Definition at line 149 of file claein.f.

Author
       Generated automatically by Doxygen for LAPACK from the source code.

Version 3.4.2				 Tue Sep 25 2012			      claein.f(3)
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