陀螺系统特征值问题的收缩Jacobi-Davidson方法

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

本文研究陀螺系统特征值问题的Jacobi-Davidson方法.利用陀螺系统的结构性质,给出了求解Jacobi-Davidson方法中校正方程的有效方法.基于非等价低秩收缩技术,给出了计算陀螺系统一些特征值的收缩Jacobi-Davidson方法.数值结果表明本文所给算法是有效的.

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.