.png){kind=icon}
返回
Localization Theorems for Nonlinear Eigenvalue Problems
.png){kind=icon}
OA
AI
DOI：10.1137/15M1026511.png)
.png){kind=icon}
.png){kind=icon}
分享.png){kind=icon}
收藏
摘要
En 中文
Let T : Omega -> C-nXn be a matrix-valued function that is analytic on some simply connected domain Omega subset of C. A point lambda is an element of Omega is an eigenvalue if the matrix T(lambda) is singular. In this article, we describe new localization results for nonlinear eigenvalue problems that generalize Gershgorin's theorem, pseudospectral inclusion theorems, and the Bauer-Fike theorem. We use our results to analyze three nonlinear eigenvalue problems: an example from delay differential equations, a problem due to Hadeler, and a quantum resonance computation.
Keyword:
nonlinear eigenvalue problems
pseudospectra
Gershgorin's theorem
perturbation theory
AI总结
对已上传原文的论文进行重点信息的提取，主要内容包括：简要概述、研究摘要、背景介绍、关键亮点、图文解析、展望与总结。
期刊
IF:
6.1
论文数:
888
被引数:
1.2W
机构
引用论文
.png){kind=icon}
分享收藏
查看更多内容