A RELAXED GRADIENT BASED ALGORITHM FOR SOLVING EXTENDED SYLVESTER-CONJUGATE MATRIX EQUATIONS

被引：18
|
作者：
Ramadan, Mohamed A. [1 ]
El-Danaf, Talaat S. [1 ]
Bayoumi, Ahmed M. E. [2 ]
机构：
[1] Menoufia Univ, Dept Math, Fac Sci, Shibin Al Kawm, Egypt
[2] Ain Shams Univ, Fac Educ, Dept Math, Cairo, Egypt
来源：
ASIAN JOURNAL OF CONTROL | 2014年 / 16卷 / 05期
关键词：
Sylvester equations; Frobenius norm; relaxation parameters; GENERALIZED REFLEXIVE SOLUTIONS; LEAST-SQUARES IDENTIFICATION; FINITE ITERATIVE ALGORITHMS; MULTIVARIABLE SYSTEMS; COMPLEX MATRICES; CONSIMILARITY; AXB=C;
D O I：
10.1002/asjc.805
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, a relaxed gradient based algorithm for solving extended Sylvester-conjugate matrix equations by considering a relaxation parameter is proposed. The convergence analysis of the algorithm is investigated. Theoretical analysis shows that the new method converges under certain assumptions. A numerical example is given to illustrate effectiveness of the proposed method and to test its efficiency compared with an existing one.
引用
收藏
页码：1334 / 1341
页数：8
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