The solution of fuzzy Sylvester matrix equation

被引：11
|
作者：
He, Qixiang [1 ]
Hou, Liangshao [2 ]
Zhou, Jieyong [3 ]
机构：
[1] Shanghai Univ Finance & Econ, Sch Math, Zhejiang Coll, Shanghai 200433, Peoples R China
[2] Shanghai Univ Finance & Econ, Sch Math, Lab Computat Math, Shanghai 200433, Peoples R China
[3] Shanghai Univ Finance & Econ, Lab Computat Math, Shanghai Key Lab Financial Informat Technol, Sch Math, Shanghai 200433, Peoples R China
来源：
SOFT COMPUTING | 2018年 / 22卷 / 19期
基金：
中国国家自然科学基金;
关键词：
fuzzy; Sylvester matrix equation; Extension method; Numerical method;
D O I：
10.1007/s00500-017-2702-8
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
In this paper, A fuzzy Sylvester matrix equation with crisp coefficient matrices is considered. We use the arithmetic operation rule of fuzzy number to transfer the equation into two crisp Sylvester matrix equations, which avoids using Kronecker operation and which makes it possible to apply some existing methods to solve Sylvester matrix equation. Since the two transferred equations keep the number of unknowns unchanged, numerical operations needed in our method are much less than the operations in the method using Kronecker product. At last, we use several small-scale examples to illustrate the correctness of our method and several large-scale examples to illustrate the efficiency of our method.
引用
收藏
页码：6515 / 6523
页数：9
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