Nonlinear eigenvalue problems and contour integrals

详细信息    查看全文

• 作者：Marc Van Barel ; ^{Marc.VanBarel@cs.kuleuven.be" class="auth_mail" title="E-mail the corresponding author} ; Peter Kravanja ^{peterkravanja@gmail.com" class="auth_mail" title="E-mail the corresponding author}
• 关键词：65-F15 ; 47-J10 ; 30-E05
• 刊名：Journal of Computational and Applied Mathematics
• 出版年：2016
• 出版时间：15 January 2016
• 年：2016
• 卷：292
• 期：Complete
• 页码：526-540
• 全文大小：2660 K

文摘

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.