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RATIONAL KRYLOV FOR REAL PENCILS WITH COMPLEX EIGENVALUES
KTH, School of Computer Science and Communication (CSC).
2010 (English)In: Taiwanese journal of mathematics, ISSN 1027-5487, E-ISSN 2224-6851, Vol. 14, no 3A, 795-803 p.Article in journal (Refereed) Published
Abstract [en]

A rational Krylov algorithm for eigenvalue computation is described. It is usable on a real matrix pencil with complex eigenvalues and builds up a real basis. The main purpose is to get real reduced models of a real linear dynamic system. Two variants are described, one where two real vectors are added to the Krylov space in each step and another where just one real vector is added in each step. Results are reported from one small example that has been used earlier and where the solution is known, and one more realistic example, a linear descriptor system from a computational fluid dynamics application.

Place, publisher, year, edition, pages
2010. Vol. 14, no 3A, 795-803 p.
Keyword [en]
Eigenvalue computation, Krylov sequence, Real matrix pencil, Work with Henrik Olsson, Zenon Mathews and Henrik Hoist
National Category
Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-27287ISI: 000278880400004Scopus ID: 2-s2.0-77954079779OAI: oai:DiVA.org:kth-27287DiVA: diva2:376986
Note
QC 20101213Available from: 2010-12-13 Created: 2010-12-09 Last updated: 2017-12-11Bibliographically approved

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