• 论文 •

### 陀螺系统特征值问题的收缩Jacobi-Davidson方法

1. 南京航空航天大学数学系, 南京 210016
• 收稿日期:2012-03-22 出版日期:2012-11-15 发布日期:2012-11-12
• 基金资助:

国家自然科学基金(No.11071118)资助项目

Zhou Xingyue, Dai Hua. THE JACODI-DAVIDSON METHOD WITH DEFLATION FOR SOLVING EIGENVALUE PROBLEMS OF GYROSCOPIC SYSTEMS[J]. Mathematica Numerica Sinica, 2012, 34(4): 341-350.

### THE JACODI-DAVIDSON METHOD WITH DEFLATION FOR SOLVING EIGENVALUE PROBLEMS OF GYROSCOPIC SYSTEMS

Zhou Xingyue, Dai Hua

1. Dept. of Math., Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China
• Received:2012-03-22 Online:2012-11-15 Published:2012-11-12

The Jacobi-Davidson method for solving eigenvalue problems of gyroscopic systems is considered in this paper. Using the structural properties of gyroscopic systems, an efficient algorithm for solving the correction equation in the Jacobi-Davidson method is presented. Based on the non-equivalence low-rank deflation technique, the Jacobi-Davidson method with deflation for computing some eigenvalues of gyroscopic systems is developed. Numerical results show that the proposed methods are efficient.

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