PSEUDOSPECTRA OF LINEAR MATRIX PENCILS BY BLOCK DIAGONALIZATION

Authors
LAVALLEE PF SADKANE M
Citation
Pf. Lavallee et M. Sadkane, PSEUDOSPECTRA OF LINEAR MATRIX PENCILS BY BLOCK DIAGONALIZATION, Computing, 60(2), 1998, pp. 133-156
Citations number
25
Categorie Soggetti
Computer Science Theory & Methods","Computer Science Theory & Methods
Journal title
Computing → ACNP
ISSN journal
0010485X
Volume
60
Issue
2
Year of publication
1998
Pages
133 - 156
Database
ISI
SICI code
0010-485X(1998)60:2<133:POLMPB>2.0.ZU;2-U
Abstract
We propose an algorithm that block-diagonalizes regular matrix pencils using well conditioned transformations. This algorithm is used for ap proximating the pseudospectra of matrix pencils. Several numerical exp eriments illustrate the behavior of the proposed algorithm.