Spectral approximation for polynomial eigenvalue problems

Zhongjie Lu (Corresponding Author), Jacobus J.W. van der Vegt, Yan Xu

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    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.
    Original languageEnglish
    Pages (from-to)1184 - 1197
    Number of pages14
    JournalComputers & mathematics with applications
    Issue number5
    Early online date20 Jun 2018
    Publication statusPublished - 1 Sept 2018


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