Real iterative algorithms for a common solution to the complex conjugate matrix equation system

详细信息    查看全文

• 作者：Xue Peng ; Xiao-Xia Guo ; ^{guoxiaoxia@ouc.edu.cn" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Real representation ; Complex matrix equation ; Finite iteration ; Solution
• 刊名：Applied Mathematics and Computation
• 出版年：2015
• 出版时间：1 November 2015
• 年：2015
• 卷：270
• 期：Complete
• 页码：472-482
• 全文大小：313 K

文摘

In this paper, we propose a new algorithm for the computation of the common solution to the complex conjugate matrix equation system $A_{i}X{B}_i+C_i\overline{X}{D}_i=E_i,$a688e7b3bc1a" title="Click to view the MathML source">i=1,2,…,N$i=1,2,\dots ,N$. The algorithms only need finite iteration steps, requiring only real computation. Furthermore, the algorithm can be extended to solve a more general complex matrix equation system. Two numerical examples are given to illustrate the effectiveness of the proposed algorithm.