Publisher DOI: | 10.1553/etna_vol55s1 | Title: | A survey on variational characterizations for nonlinear Eigenvalue problems | Language: | English | Authors: | Lampe, Jörg Voß, Heinrich |
Keywords: | AMLS;Fluid-solid interaction;Iterative projection methods;Nonlinear eigenvalue problem;Quantum dots;Total least-squares problems;Variational characterization;Viscoelastic damping | Issue Date: | 2021 | Source: | Electronic Transactions on Numerical Analysis 55 : 1-75 (2021) | Abstract (english): | Variational principles are very powerful tools when studying self-adjoint linear operators on a Hilbert space H. Bounds for eigenvalues, comparison theorems, interlacing results, and monotonicity of eigenvalues can be proved easily with these characterizations, to name just a few. In this paper we consider generalizations of these principles to families of linear, self-adjoint operators depending continuously on a scalar in a real interval. |
URI: | http://hdl.handle.net/11420/11302 | ISSN: | 1068-9613 | Institute: | Mathematik E-10 | Document Type: | Article | Journal: | Electronic transactions on numerical analysis |
Appears in Collections: | Publications without fulltext |
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