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
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