An algorithm for computing the eigenvalues of block companion matrices

Author:

Frederix Katrijn,Delvaux Steven,Van Barel Marc

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics

Reference17 articles.

1. Bindel, D., Chandrasekaran, S., Demmel, J.W., Garmire, D., Gu, M.: A fast and stable nonsymmetric eigensolver for certain structured matrices. Technical report, Department of Computer Science, University of California, Berkeley, California, USA (2005)

2. Bini, D.A., Daddi, F., Gemignani, L.: On the shifted QR iteration applied to companion matrices. Electron. Trans. Numer. Anal. 18, 137–152 (2004)

3. Bini, D.A., Eidelman, Y., Gemignani, L., Gohberg, I.C.: Fast QR eigenvalue algorithms for Hessenberg matrices which are rank-one perturbations of unitary matrices. SIAM J. Matrix Anal. Appl. 29(2), 566–585 (2007)

4. Chandrasekaran, S., Gu, M., Xia, J., Zhu, J.: A fast QR algorithm for companion matrices. Oper. Theory Adv. Appl. 179, 111–143 (2007)

5. Cuppen, J.J.M.: A divide and conquer method for the symmetric tridiagonal eigenproblem. Numer. Math. 36, 177–195 (1981)

Cited by 5 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. Fast and backward stable computation of eigenvalues and eigenvectors of matrix polynomials;Mathematics of Computation;2018-04-12

2. Quasiseparable Hessenberg reduction of real diagonal plus low rank matrices and applications;Linear Algebra and its Applications;2016-08

3. A CMV-Based Eigensolver for Companion Matrices;SIAM Journal on Matrix Analysis and Applications;2015-01

4. Fast and Backward Stable Computation of Roots of Polynomials;SIAM Journal on Matrix Analysis and Applications;2015-01

5. Block tridiagonal reduction of perturbed normal and rank structured matrices;Linear Algebra and its Applications;2013-12

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