THE GENERALIZED SCHUR DECOMPOSITION OF AN ARBITRARY PENCIL-A - LAMBDA-B - ROBUST SOFTWARE WITH ERROR-BOUNDS AND APPLICATIONS .2. SOFTWARE AND APPLICATIONS

Citation
J. Demmel et B. Kagstrom, THE GENERALIZED SCHUR DECOMPOSITION OF AN ARBITRARY PENCIL-A - LAMBDA-B - ROBUST SOFTWARE WITH ERROR-BOUNDS AND APPLICATIONS .2. SOFTWARE AND APPLICATIONS, ACM transactions on mathematical software, 19(2), 1993, pp. 175-201
Citations number
21
Language
INGLESE
art.tipo
Article
Categorie Soggetti
Computer Sciences",Mathematics
ISSN journal
0098-3500
Volume
19
Issue
2
Year of publication
1993
Pages
175 - 201
Database
ISI
SICI code
0098-3500(1993)19:2<175:TGSDOA>2.0.ZU;2-T
Abstract
Robust software with error bounds for computing the generalized Schur decomposition of an arbitrary matrix pencil A - lambdaB (regular or si ngular) is presented. The decomposition is a generalization of the Sch ur canonical form of A - lambdaI to matrix pencils and reveals the Kro necker structure of a singular pencil. The second part of this two-par t paper describes the computed generalized Schur decomposition in more detail and the software, and presents applications and an example of its use. Background theory and algorithms for the decomposition and it s error bounds are presented in Part I of this paper.