Computing eigenpairs of quadratic eigensystems
- 作者：Mohammedi R. Abdel-Aziz
- 关键词：Implicitly restarted Arnoldi method ; Dependent eigensystems ; Safeguarded zerofinder
- 刊名：Mathematical and Computer Modelling
- 出版年：2006
- 期刊代码：86_08957177
- 类别：cp
- 出版时间：October 2006
- 卷：44
- 期：7-8
- 页码：692-700
- 文件大小：739 K
摘要
The main objective of this paper is to introduce an algorithm for solving dependent eigenproblems. The global matrices of these eigenproblems are formulated by using a mixed finite element approach. This approach uses both the polynomial and frequency dependent displacement fields.
The algorithm that is introduced is based on solving a sequence of linear eigenproblems by an appropriate eigensolver and updating the parameter by a safeguarded zerofinder.
The eigensolution technique that has been developed is designed to evaluate a specific set of parameterized eigenvalues. Numerical experiments show that this eigentechnique accurately evaluates the first ten eigenvalues of quadratic eigenproblems.