A refined Jacobi-Davidson method for the quadratic eigenvalue problem

Authors:
Zhongxiao Jia;Yuquan Sun
Affiliations:
Tsinghua University, Department of Mathematical Sciences, Beijing, People's Republic of China;Tsinghua University, Department of Mathematical Sciences, Beijing, People's Republic of China
Venue:
MATH'06 Proceedings of the 10th WSEAS International Conference on APPLIED MATHEMATICS
Year:
2006

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Abstract

This paper presents a refined projection method for quadratic eigenvalue problems and proposes a new extraction method and a correction equation for the quadratic Jacobi-Davidson method. Then it gives rise to a new refined quadratic Jacobi-Davidson method. Preliminary numerical examples illustrate the superiority of the new method.