INVERSE ITERATION FOR LARGE DEFECTIVE EIGENSYSTEMS

Authors
LEUNG AYT CHAN JKW CHAN CW
Citation
Ayt. Leung et al., INVERSE ITERATION FOR LARGE DEFECTIVE EIGENSYSTEMS, Journal of vibration and control, 4(6), 1998, pp. 697-716
Citations number
11
Categorie Soggetti
Mechanics
Journal title
Journal of vibration and control → ACNP
ISSN journal
10775463
Volume
4
Issue
6
Year of publication
1998
Pages
697 - 716
Database
ISI
SICI code
1077-5463(1998)4:6<697:IIFLDE>2.0.ZU;2-Z
Abstract
The solutions of large eigensystems having cluster, multiple, or defec tive eigenvalues by inverse iteration using one trial vector at a time are of interest. The Rayleigh quotient is used as shift. New formulas for each particular case are derived for definite convergence. Six nu merical examples, including three-multiple defective eigenvalues, are given.