A Jacobi-Davidson type method for computing real eigenvalues of the quadratic eigenvalue problem | |
Li, Hao ; Cai, Yunfeng | |
2016 | |
关键词 | Quadratic eigenvalue problem Jacobi-Davidson method Real eigenvalue MATRIX POLYNOMIALS ITERATION METHOD ALGORITHM SYSTEMS |
英文摘要 | This paper presents a new Jacobi-Davidson type method to compute several real eigenvalues of the Hermitian quadratic eigenvalue problem. This method uses a simple index to sort the eigenvalues of the projected quadratic eigenvalue problem and extracts the approximate eigenvectors for the quadratic eigenvalue problem with the eigenvectors of the projected quadratic eigenvalue problem corresponding to the eigenvalues with the smallest indices. Numerical examples show that our method is effective and efficient to compute real eigenvalues of the Hermitian quadratic eigenvalue problem.; SCI(E); ARTICLE; lihao.5558@pku.edu.cn; yfcai@math.pku.edu.cn; 4; 737-749; 53 |
语种 | 英语 |
出处 | SCI |
出版者 | CALCOLO |
内容类型 | 其他 |
源URL | [http://hdl.handle.net/20.500.11897/458311] ![]() |
专题 | 数学科学学院 |
推荐引用方式 GB/T 7714 | Li, Hao,Cai, Yunfeng. A Jacobi-Davidson type method for computing real eigenvalues of the quadratic eigenvalue problem. 2016-01-01. |
个性服务 |
查看访问统计 |
相关权益政策 |
暂无数据 |
收藏/分享 |
除非特别说明,本系统中所有内容都受版权保护,并保留所有权利。
修改评论