A SURVEY ON VARIATIONAL CHARACTERIZATIONS FOR NONLINEAR EIGENVALUE PROBLEMS
ELECTRONIC TRANSACTIONS ON NUMERICAL ANALYSIS(2022)
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.
更多查看译文
关键词
nonlinear eigenvalue problem, variational characterization, iterative projection methods, AMLS, quantum dots, viscoelastic damping, total least-squares problems, fluid-solid interaction
AI 理解论文
溯源树
样例
![](https://originalfileserver.aminer.cn/sys/aminer/pubs/mrt_preview.jpeg)
生成溯源树,研究论文发展脉络
Chat Paper
正在生成论文摘要