A numerical method for nonlinear eigenvalue problems using contour integrals

Author:

Asakura Junko1,Sakurai Tetsuya2,Tadano Hiroto2,Ikegami Tsutomu3,Kimura Kinji4

Affiliation:

1. Research and Development Division, Square Enix Co. Ltd.

2. Department of Computer Science, University of Tsukuba

3. Information Technology Research Institute, AIST

4. Graduate School of Informatics, Kyoto University

Publisher

The Japan Society for Industrial and Applied Mathematics

Reference6 articles.

1. [1] B. Liao, Subspace projection methods for model order reduction and nonlinear eigenvalue computation, PhD thesis, Department of mathematics, Univ. of California at Davis, 2007.

2. [2] E. Jarlebring, The spectrum of delay-differential equations: numerical methods, stability and perturbation, PhD thesis, Inst. Comp. Math, TU Braunschweig, 2008.

3. [3] T. Sakurai and H. Sugiura, A projection method for generalized eigenvalue problems, J. Comput. Appl. Math., 159 (2003) 119-128.

4. [4] J. Asakura, T. Sakurai, H. Tadano, T. Ikegami and K. Kimura, A numerical method for polynomial eigenvalue problems using contour integral, submitted.

5. [5] I. Gohberg and L. Rodman, Analytic matrix functions with prescribed local data, J. d'Analyse Mathématique, 40 (1981) 90-128.

Cited by 128 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Complex moment-based eigensolver coupled with two Krylov subspaces;Journal of Computational and Applied Mathematics;2023-11

2. Contour Integration for Eigenvector Nonlinearities;SIAM Journal on Matrix Analysis and Applications;2023-10-30

3. Detecting Near Resonances in Acoustic Scattering;Journal of Scientific Computing;2023-07-30

4. Contour Integral Methods for Nonlinear Eigenvalue Problems: A Systems Theoretic Approach;SIAM Review;2023-05

5. Exceptional points in cylindrical elastic media with radiation loss;Physical Review B;2023-04-17

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3