PERTURBATION-THEORY FOR RECTANGULAR MATRIX PENCILS

Authors
STEWART GW
Citation
Gw. Stewart, PERTURBATION-THEORY FOR RECTANGULAR MATRIX PENCILS, Linear algebra and its applications, 209, 1994, pp. 297-301
Citations number
7
Categorie Soggetti
Mathematics,Mathematics
Journal title
Linear algebra and its applications → ACNP
ISSN journal
00243795
Volume
209
Year of publication
1994
Pages
297 - 301
Database
ISI
SICI code
0024-3795(1994)209:<297:PFRMP>2.0.ZU;2-H
Abstract
The theory of eigenvalues and eigenvectors of rectangular matrix penci ls is complicated by the fact that arbitrarily small perturbations of the pencil can cause them to disappear. However, there are application s in which the properties of the pencil ensure the existence of eigenv alues and eigenvectors. In this paper it is shown how to develop a per turbation theory for such pencils.