Spectral Distribution and Numerical Methods for Rational Eigenvalue Problems

Symmetry

Wei Wei¹  Xiaoping Chen²  An Luo²  Xueying Shi² 

[1] Department of Applied Mathematics, Nanjing Forestry University, Nanjing 210037, China;Department of Mathematics, Taizhou University, Taizhou 225300, China;

关键词: rational eigenvalue problem;    spectral distribution;    dichotomy iteration method;    Rayleigh functional iteration method;   

DOI  :  10.3390/sym14061270

来源: DOAJ

【 摘 要 】

Rational eigenvalue problems (REPs) have important applications in engineering applications and have attracted more and more attention in recent years. Based on the theory of low-rank modification, we discuss the spectral properties and distribution of the symmetric rational eigenvalue problems, and present two numerical iteration methods for the above REPs. Numerical experiments demonstrate the effectiveness of our proposed methods.

【 授权许可】

Unknown