Nonlinear eigenvalue problems and contour integrals

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:292

Article

Van Barel, Marc¹  Kravanja, Peter¹ 

[1] Katholieke Univ Leuven, Dept Comp Sci, B-3001 Heverlee, Belgium

关键词: Nonlinear eigenvalue problems;    Contour integrals;    Keldysh' theorem;    Beyn's algorithm;    Canonical polyadic decomposition;    Filter function;   

DOI  :  10.1016/j.cam.2015.07.012

来源: Elsevier

【 摘 要 】

In this paper Beyn's algorithm for solving nonlinear eigenvalue problems is given a new interpretation and a variant is designed in which the required information is extracted via the canonical polyadic decomposition of a Hankel tensor. A numerical example shows that the choice of the filter function is very important, particularly with respect to where it is positioned in the complex plane. (C) 2015 Elsevier B.V. All rights reserved.

【 授权许可】

Free