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.
ISSN: 1068-9613
Institute: Mathematik E-10 
Document Type: Article
Journal: Electronic transactions on numerical analysis 
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