Backward error analysis for linearizations in heavily damped quadratic eigenvalue problem-Reference-Cited by-同舟云学术

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Backward error analysis for linearizations in heavily damped quadratic eigenvalue problem

Published:2019-06-10 Issue:4 Volume:26 Page:
ISSN:1070-5325
Container-title:Numerical Linear Algebra with Applications
language:en
Short-container-title:Numer Linear Algebra Appl

Author:

Chen Hongjia¹,Meng Jie²,Sakurai Tetsuya³,Wang Xiang¹^ORCID

Affiliation:

1. Department of Mathematics and Applied Mathematics, School of SciencesNanchang University Nanchang China

2. Finance · Fishery · Manufacture Industrial Mathematics Center on Big DataPusan National University Busan South Korea

3. Department of Computer ScienceUniversity of Tsukuba Ibaraki Japan

Funder

National Natural Science Foundation of China

National Research Foundation of Korea

Publisher

Wiley

Subject

Applied Mathematics,Algebra and Number Theory

Link

https://onlinelibrary.wiley.com/doi/pdf/10.1002/nla.2253

Reference21 articles.

1. Benchmark Examples for Model Reduction of Linear Time-Invariant Dynamical Systems

2. The Quadratic Eigenvalue Problem

3. The spectrum and stability of a vibrating rail supported by sleepers

4. Matrix Polynomials

Cited by 4 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. New backward error bounds of Rayleigh–Ritz projection methods for quadratic eigenvalue problem;Linear and Multilinear Algebra;2022-12-26

2. Backward error analysis of linearizing–balancing strategies for heavily damped quadratic eigenvalue problem;Applied Mathematics Letters;2021-10

3. The tropical scaling for the polynomial eigenvalue problem solved by a contour integral method;Numerical Linear Algebra with Applications;2021-09-27

4. Backward error bounds for polynomial eigenvalue problem solved by a Rayleigh–Ritz type contour integral-based eigensolver;Applied Mathematics Letters;2020-04

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