Dynamic system for solving complex eigenvalue problems

被引：1
|
作者：
Zhang, Q [1 ]
Leung, YW
机构：
[1] Changsha Inst Technol, Dept Comp, Changsha, Peoples R China
[2] Hong Kong Baptist Univ, Dept Comp Studies, Kowloon Tong, Hong Kong
来源：
IEE PROCEEDINGS-CONTROL THEORY AND APPLICATIONS | 1997年 / 144卷 / 05期
关键词：
eigenvalue problems; analogue neural computing;
D O I：
10.1049/ip-cta:19971123
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In the paper, the authors propose a dynamic system for solving complex eigenvalue problems. We show that, under some mild conditions, the set of the unit eigenvectors corresponding to the eigenvalue with the largest real part is asymptotically stable and the sets of the unit eigenvectors corresponding to the other eigenvalues is unstable. The proposed dynamical system can be realised as analogue neural networks for real-time applications.
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页码：455 / 458
页数：4
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