A SURVEY ON VARIATIONAL CHARACTERIZATIONS FOR NONLINEAR EIGENVALUE PROBLEMS

被引：4
作者：
Lampe, Jorg [1 ]
Voss, Heinrich [2 ]
机构：
[1] Univ Appl Sci Cologne, Inst Elect Engn Syst Theory & Math, Cologne, Germany
[2] Hamburg Univ Technol, Inst Math, D-21071 Hamburg, Germany
来源：
ELECTRONIC TRANSACTIONS ON NUMERICAL ANALYSIS | 2022年 / 55卷
关键词：
nonlinear eigenvalue problem; variational characterization; iterative projection methods; AMLS; quantum dots; viscoelastic damping; total least-squares problems; fluid-solid interaction; GOVERNING ELECTRONIC STATES; JACOBI-DAVIDSON METHOD; FINITE-ELEMENT-METHOD; ILL-POSED PROBLEMS; LEAST-SQUARES; TIKHONOV REGULARIZATION; MATRIX POLYNOMIALS; VISCOELASTIC STRUCTURES; DIFFERENTIAL-EQUATIONS; SUBSTRUCTURING METHOD;
D O I：
10.1553/etna_vol55s1
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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.
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页码：1 / 75
页数：75
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