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https://doi.org/10.15480/882.183

Title: | Projection methods for nonlinear sparse eigenvalue problems | Language: | English | Authors: | Voß, Heinrich | Keywords: | nonlinear eigenvalue problem; iterative projection method; Jacobi–Davidson method; Arnoldi method; rational Krylov method | Issue Date: | Feb-2006 | Source: | Preprint. Published in: Annals European Academy of Sciences 2005, 152-183 (2005) | Abstract (english): | This paper surveys numerical methods for general sparse nonlinear eigenvalue problems with special emphasis on iterative projection methods like Jacobi–Davidson, Arnoldi or rational Krylov methods and the automated multi–level substructuring. We do not review the rich literature on polynomial eigenproblems which take advantage of a linearization of the problem. |
URI: | http://tubdok.tub.tuhh.de/handle/11420/185 | DOI: | 10.15480/882.183 | Institute: | Mathematik E-10 Numerische Simulation E-10 (H) |
Document Type: | Working Paper | License: | ![]() |
Part of Series: | Preprints des Institutes für Mathematik | Volume number: | 97 |
Appears in Collections: | Publications with fulltext |
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