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A survey on variational characterizations for nonlinear Eigenvalue problems
Publikationstyp
Journal Article
Publikationsdatum
2021
Sprache
English
Author
Voß, Heinrich
Institut
Enthalten in
Volume
55
Start Page
1
End Page
75
Citation
Electronic Transactions on Numerical Analysis 55 : 1-75 (2021)
Publisher DOI
Scopus ID
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.
Schlagworte
AMLS
Fluid-solid interaction
Iterative projection methods
Nonlinear eigenvalue problem
Quantum dots
Total least-squares problems
Variational characterization
Viscoelastic damping