APPLICATION OF THE IMPLICITLY UPDATED ARNOLDI METHOD WITH A COMPLEX SHIFT-AND-INVERT STRATEGY IN MHD

Authors
KOOPER MN VANDERVORST HA POEDTS S GOEDBLOED JP
Citation
Mn. Kooper et al., APPLICATION OF THE IMPLICITLY UPDATED ARNOLDI METHOD WITH A COMPLEX SHIFT-AND-INVERT STRATEGY IN MHD, Journal of computational physics, 118(2), 1995, pp. 320-328
Citations number
18
Categorie Soggetti
Mathematical Method, Physical Science","Computer Science Interdisciplinary Applications","Physycs, Mathematical
Journal title
Journal of computational physics → ACNP
ISSN journal
00219991
Volume
118
Issue
2
Year of publication
1995
Pages
320 - 328
Database
ISI
SICI code
0021-9991(1995)118:2<320:AOTIUA>2.0.ZU;2-G
Abstract
The implicitly updated Arnoldi method introduced by Sorensen with an i nternal QR-iteration is a very useful eigenvalue solver for nonsymmetr ic eigenvalue problems. To make this method rigorous in finding intern al eigenvalues, a complex shift-and-invert strategy is used. Therefore a complex variant of the method has been constructed and the method h as been compared with a Lanczos method, as implemented by Cullum at al ., for a practical problem in magnetohydrodynamics. (c) 1995 Academic Press, Inc.