Solutions to the nonhomogeneous generalized Sylvester quaternion j-conjugate matrix equation

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• 英文论文题名：Solutions to the nonhomogeneous generalized Sylvester quaternion j-conjugate matrix equation
• 论文作者：Caiqin Song ; Jun-e Feng ; Xiaodong Wang
• 英文论文作者：Caiqin Song ; Jun-e Feng ; Xiaodong Wang ; School of Mathematical Sciences ; University of Jinan ; School of Mathematics ; Shandong University ; School of Management Science and Engineering ; Shandong Normal University
• 年：2017
• 作者机构：School of Mathematical Sciences,University of Jinan;School of Mathematics,Shandong University;School of Management Science and Engineering,Shandong Normal University;
• 英文论文关键词：quaternion matrix equation ; explicit solution ; real representation
• 会议召开时间：2017-07-26
• 会议录名称：第36届中国控制会议论文集（A）
• 英文会议录名称：Proceedings of the 36th Chinese Control Conference（A）
• 语种：英文
• 分类号：O241.6
• 学会代码：KZLL
• 会议名称：第36届中国控制会议
• 会议地点：中国辽宁大连
• 主办单位：中国自动化学会控制理论专业委员会
• 学会名称：中国自动化学会控制理论专业委员会
• 页数：6
• 文件大小：217k
• 原文格式：D
• 会议级别：全国

摘要

In this article, we develop a real representation method for computing the solution pair(X, Y) to the nonhomogeneous generalized Sylvester quaternion j-conjugate matrix equation XB-AX = CY + R. Compared to the existing complex representation method [C.Song, G.Chen, Acta Mathematica Scientia 2012, 32(B)(5):1967-1982], the advantage of this new approach is that there is no special requirement on the any coefficient matrix. In this sense, we generalize the existing results. Finally, a numerical example is provided to support the theoretical findings and to testify the effectiveness and usefulness of the developed algorithm.
In this article, we develop a real representation method for computing the solution pair(X, Y) to the nonhomogeneous generalized Sylvester quaternion j-conjugate matrix equation XB-AX = CY + R. Compared to the existing complex representation method [C.Song, G.Chen, Acta Mathematica Scientia 2012, 32(B)(5):1967-1982], the advantage of this new approach is that there is no special requirement on the any coefficient matrix. In this sense, we generalize the existing results. Finally, a numerical example is provided to support the theoretical findings and to testify the effectiveness and usefulness of the developed algorithm.

引文

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