Convergence of an iterative method for solving Sylvester matrix equations over reflexive matrices

被引：19

作者：

Dehghan, Mehdi ^{[1
]}

Hajarian, Masoud ^{[1
]}

机构：

[1] Amir Kabir Univ Technol, Dept Appl Math, Fac Math & Comp Sci, Tehran, Iran

来源：

JOURNAL OF VIBRATION AND CONTROL | 2011年 / 17卷 / 09期

关键词：

Sylvester matrix equation; reflexive matrix; iterative method; generalized reflection matrix; LEAST-SQUARES SOLUTIONS; GENERAL-SOLUTION; REGULAR-RINGS; SYSTEMS; IDENTIFICATION; ALGORITHM;

D O I：

10.1177/1077546309351893

中图分类号：

O42 [声学];

学科分类号：

070206 ; 082403 ;

摘要：

This note proposes an iterative method to solve the Sylvester matrix equation AY+YB = C over a reflexive matrix Y which has wide applications in many systems and control applications. Analysis of convergence shows that the proposed iterative method converges to the reflexive solution for any initial reflexive matrix. Finally, a numerical example confirms the theoretical results and shows that the method works reliably.

引用

页码：1295 / 1298

页数：4

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