Preconditioned inexact Newton-like method for large nonsymmetric eigenvalue problems

Author:

Miao Hong-Yi,Wang Li

Abstract

<p style='text-indent:20px;'>An efficiently preconditioned Newton-like method for the computation of the eigenpairs of large and sparse nonsymmetric matrices is proposed. A sequence of preconditioners based on the Broyden-type rank-one update formula are constructed for the solution of the linearized Newton system. The properties of the preconditioned matrix are investigated. Numerical results are given which reveal that the new proposed algorithms are efficient.</p>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

Applied Mathematics,Control and Optimization,Algebra and Number Theory,Applied Mathematics,Control and Optimization,Algebra and Number Theory

Reference16 articles.

1. Z. Z. Bai, G. H. Golub.Accelerated Hermitian and skew-Hermitian splitting methods for saddle-point problems, SIAM J. Numer. Anal., 27 (2007), 1-23.

2. Z. Z. Bai, C. Q. Miao.On local quadratic convergence of inexact simplified Jacobi-Davidson method, Linear Algebra Appl., 520 (2017), 215-241.

3. K. J. Bathe, Finite Element Procedures in Engineering Analysis, Prentice-Hall, Englewood Cliffs, 1982.

4. M. Benzi, G. H. Golub, J. Liesen.Numerical solution of saddle point problems, Acta Numer., 14 (2005), 1-137.

5. L. Bergamaschi, R. Bru, A. Martinez, M. Putti.Quasi-Newton preconditioners for the inexact Newton method, Electronic Transactions on Numerical Analysis, 23 (2006), 76-87.

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