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论文类型： 期刊论文

发表时间： 2020-04-01

发表刊物： APPLIED MATHEMATICS LETTERS

收录刊物： EI、SCIE

卷号： 102

ISSN号： 0893-9659

关键字： Contour integral; Polynomial eigenvalue problem; SS-RR method; Backward error

摘要： The contour integral-based eigensolvers have attracted much attention in recent years. In this paper, we consider solving a polynomial eigenvalue problem (PEP) by a contour integral-based eigensolver named the Sakurai-Sugiura method with Rayleigh-Ritz projection (SS-RR method). We derive a backward error bound of PEP solved by the SS-RR method. This bound can be used to show the accuracy of the computed approximate eigenpairs of PEP. The accuracy of the derived bounds is demonstrated by several examples. (C) 2019 Elsevier Ltd. All rights reserved.