Gradient-based iterative algorithm for the extended coupled Sylvester matrix equations

被引:0
|
作者
Zhang Huamin [1 ,2 ]
机构
[1] Bengbu Univ, Sch Sci, Bengbu 233030, Peoples R China
[2] Jiangnan Univ, Sch Internet Things Engn, Wuxi 214122, Peoples R China
关键词
Iterative algorithm; Coupled Sylvester matrix equations; Hierarchical identification principle; SYSTEMS;
D O I
暂无
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
A gradient-based iterative algorithm is established for solving the extended coupled Sylvester matrix equations A(1)XB(1) + A(2)XB(2) = F-1 and C1XD1 + C2YD2 = F-2 by using the hierarchical identification principle. We prove that the iterative solution converges fast to the exact one for any initial iterative value if the coupled matrix equations has a unique solution. A numerical example is offered to illustrate the efficiency of the proposed algorithm.
引用
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页码:1562 / 1567
页数:6
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