Gradient-based iterative solutions for general matrix equations

被引：2
|
作者：
Xie, Li [1 ]
Yang, Huizhong [1 ]
Ding, Jie [1 ]
Ding, Feng [1 ]
机构：
[1] Jiangnan Univ, Sch Commun & Control Engn, Wuxi, Peoples R China
来源：
2009 AMERICAN CONTROL CONFERENCE, VOLS 1-9 | 2009年
关键词：
LEAST-SQUARES SOLUTIONS; NUMERICAL ALGORITHM;
D O I：
10.1109/ACC.2009.5159824
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 this paper, we study solutions of general matrix equations by using the iterative method and present gradient-based iterative algorithms by applying the hierarchical identification principle. Convergence analysis indicates that the iterative solutions always converge fast to the exact solutions for any initial values and small condition numbers of the associated matrices. Several numerical examples are included.
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页码：500 / 505
页数：6
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