PAMM
Volume 6, Issue 1 pp. 713-714
Section 17
Free Access

Extra Precise Preconditioning for Non-Hermitian Eigenvalue Problems

Volker Drygalla, 

Corresponding Author

Volker Drygalla

Martin-Luther-Universität Halle-Wittenberg, Institut für Numerische Mathematik, D-06099 Halle (Saale), Germany

Phone: +49 345 55 24 665, Fax: +49 345 55 27 004Search for more papers by this author
First published: 23 January 2007
https://doi.org/10.1002/pamm.200610337
Citations: 1

Abstract

For badly conditioned Non-Hermite eigenvalue problems known iterative refinement procedures often fail. It is proposed to use extra precise iterative refinement in a precondition step. As preconditioners the matrix Q from the QR decomposition or at least the matrix of - even not very accurate - eigenvalues can be used. (© 2006 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)