| Publisher URL: | http://elibm.org/article/10006309 | Title: | On Sylvester's law of inertia for nonlinear eigenvalue problems : dedicated to Lothar Reichel on the occasion of his 60th birthday | Language: | English | Authors: | Kostić, Aleksandra Voß, Heinrich |
Keywords: | Eigenvalue; Minmax principle; Sylvester's law of inertia; Variational characterization | Issue Date: | 2013 | Publisher: | Kent State Univ. | Source: | Electronic Transactions on Numerical Analysis (40): 82-93 (2013) | Abstract (english): | For Hermitian matrices and generalized definite eigenproblems, the LDLH factorization provides an easy tool to slice the spectrum into two disjoint intervals. In this note we generalize this method to nonlinear eigenvalue problems allowing for a minmax characterization of (some of) their real eigenvalues. In particular we apply this approach to several classes of quadratic pencils. Copyright © 2013, Kent State University. |
URI: | http://hdl.handle.net/11420/7506 | ISSN: | 1068-9613 | Journal: | Electronic transactions on numerical analysis | Institute: | Mathematik E-10 | Document Type: | Article |
| Appears in Collections: | Publications without fulltext |
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