New backward error bounds of Rayleigh–Ritz projection methods for quadratic eigenvalue problem-Reference-Cited by-同舟云学术

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New backward error bounds of Rayleigh–Ritz projection methods for quadratic eigenvalue problem

Published:2022-12-26 Issue: Volume: Page:1-9
ISSN:0308-1087
Container-title:Linear and Multilinear Algebra
language:en
Short-container-title:Linear and Multilinear Algebra

Author:

Wang Teng¹²,Feng Mei¹,Wang Xiang¹²,Chen Hongjia¹²

Affiliation:

1. Department of Mathematics, School of Mathematics and Computer Sciences, Nanchang University, Nanchang, People's Republic of China

2. Institute of Mathematics and Interdisciplinary Sciences, Nanchang University, Nanchang, People's Republic of China

Funder

National Natural Science Foundation of China

Natural Science Foundation of Jiangxi Province

Academic and Technical Leaders Training Plan of Jiangxi Province

Publisher

Informa UK Limited

Subject

Algebra and Number Theory

Link

https://www.tandfonline.com/doi/pdf/10.1080/03081087.2022.2160946

Reference12 articles.

1. Clark J, Zhou N, Pister K. Nodal analysis for mems design using sugar V0.5. In: International Conference on Modeling and Simulation of Microsystems Semiconductors, Sensors and ActuatorsMSM98; Santa Clara, CA; 1998. p. 6–8.

2. Clark J, Zhou N, Pister K. Modified nodal analysis for mems with multi-energy domains. In: Modeling and Simulation of Microsystems; San Diego, CA; 2000. p. 31–34.

3. Backward error analysis for linearizations in heavily damped quadratic eigenvalue problem

4. Backward Error of Polynomial Eigenproblems Solved by Linearization

5. SOAR: A Second-order Arnoldi Method for the Solution of the Quadratic Eigenvalue Problem

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