文献类型：期刊文献

英文题名：Cramer's rule for a system of quaternion matrix equations with applications

作者：Song, Guang-Jing[1];Wang, Qing-Wen[2];Yu, Shao-Wen[3]

机构：[1]Weifang Univ, Sch Math & Informat Sci, Weifang 261061, Peoples R China;[2]Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China;[3]East China Univ Sci & Technol, Dept Math, Shanghai 200237, Peoples R China

年份：2018

卷号：336

起止页码：490

外文期刊名：APPLIED MATHEMATICS AND COMPUTATION

收录：;EI(收录号：20182205263056);WOS:【SCI-EXPANDED(收录号:WOS:000436570200036)】；

基金：This research was supported by the National Natural Science Foundation of China (11571220), the Post Doctoral Fund of China (2015M571539), the Doctoral Program of Shan Dong Province (BS2013SF011), Scientific Research of Foundation of Shan Dong University (J14LI01), Scientific Research of Foundation of Weifang (2014GX027), Shanghai Natural Science Foundation (17ZR1407800).

语种：英文

外文关键词：Quaternion matrix; Cramer's rule; Matrix equations; Determinant

摘要：In this paper, we investigate Cramer's rule for the general solution to the system of quaternion matrix equations A(1)XB(1) = C-1, A(2)XB(2) = C-2, and Cramer's rule for the general solution to the generalized Sylvester quaternion matrix equation AXB + CYD = E, respectively. As applications, we derive the determinantal expressions for the Hermitian solutions to some quaternion matrix equations. The findings of this paper extend some known results in the literature. (C) 2018 Elsevier Inc. All rights reserved.