Maximal and Minimal Ranks of the Common Solution of Some Linear Matrix Equations over an Arbitrary Division Ring with Applications
Maximal and Minimal Ranks of the Common Solution of Some Linear Matrix Equations over an Arbitrary Division Ring with Applications
复制标题
任意分环上某些线性矩阵方程的公解的最大、最小秩及其应用
DOI：
10.1142/s1005386709000297
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发表时间：
2009-06
影响因子：
0.3
通讯作者：
Wang Qing-Wen
中科院分区：
文献类型：
--
作者：
Liu Xin;Song Guang-Jing;Wang Qing-Wen
We establish the formulas of the maximal and minimal ranks of the common solution of certain linear matrix equations A1X = C1, XB2 = C2, A3XB3 = C3 and A4XB4 = C4 over an arbitrary division ring. Corresponding results in some special cases are given. As an application, necessary and sufficient conditions for the invariance of the rank of the common solution mentioned above are presented. Some previously known results can be regarded as special cases of our results.
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影响因子：
1.1
作者：
Yongge Tian
通讯作者：
Yongge Tian
影响因子：
2.9
作者：
Wang, QW
通讯作者：
Wang, QW
DOI：
10.1016/j.laa.2003.12.039
发表时间：
2003-05
期刊：
ERN: Other Econometrics: Mathematical Methods & Programming (Topic)
影响因子：
--
作者：
Qingwen Wang;Shangshuai Li
通讯作者：
Qingwen Wang;Shangshuai Li
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影响因子：
4
作者：
Lin, Chun-Yan;Wang, Qing-Wen;Chang, Hai-Xia
通讯作者：
Chang, Hai-Xia
影响因子：
1.1
作者：
Yongge Tian
通讯作者：
Yongge Tian