Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8947409 | Computers & Mathematics with Applications | 2018 | 14 Pages |
Abstract
In this paper, we extent the classical spectral approximation theory for compact and bounded operators to general linear operators, and then apply it to polynomial eigenvalue problems (PEP). We also study the essential spectrum in PEPs, and prove that this spectrum is stable under relatively compact perturbations. Based on this analysis, we give some suggestions to make algorithms for solving PEPs more efficient.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science (General)
Authors
Zhongjie Lu, J.J.W. van der Vegt, Yan Xu,