文献类型：期刊文献

英文题名：Cramer's Rule for the General Solution to a Restricted System of Quaternion Matrix Equations

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

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

年份：2019

卷号：29

期号：5

外文期刊名：ADVANCES IN APPLIED CLIFFORD ALGEBRAS

收录：;WOS:【SCI-EXPANDED(收录号:WOS:000487045700002)】；

基金：This research was supported by Shanghai Natural Science Foundation (17ZR1407800), The National Science Foundation of China (11601328).

语种：英文

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

摘要：In this paper, we mainly study the Cramer's rule for the general solution to the restricted system of quaternion matrix equations {A(1)XB(1) = C-1 A(2)XB(2) = C-2 R-r(X) subset of T, N-r (X) superset of S, and the Cramer's rule for the general solution to the restricted generalized Sylvester quaternion matrix equation AXB + CYD = E, R-r (X) subset of T-1, N-r (X) superset of S-1, R-r (Y) subset of T-2, N-r (Y) superset of S-2 respectively. The findings of this paper extend some known results in the literature.