| 中心代数上的矩阵方程组 |
| |
| 引用本文： | 王卿文,李尚志.中心代数上的矩阵方程组[J].数学研究及应用,2003,23(1):15-20. |
| |
| 作者姓名： | 王卿文 李尚志 |
| |
| 作者单位： | 中国科学技术大学数学系,安徽,合肥,230026 |
| |
| 基金项目： | Foundation item:Supported by the National Natural Science Foundation of China(10071078)，Natural Science Foundation of Shandong Province(Q99A08) |
| |
| 摘 要： | 设Ω是一个特征非2的具有对合反自同构的有限维中心代数.本文研究Ω上的两个矩阵方程组,分别给出了其有一般解和次(斜)自共轭解的充要条件.
|
| 关 键 词： | central algebra system of matrix equations per（skew）selfconjugate ma-trix regular matrix quadruple. |
| 收稿时间： | 2000/2/25 0:00:00 |
Systems of Matrix Equations over a Central Algebra |
| |
| WANG Qing-wen and LI Shang-zhi.Systems of Matrix Equations over a Central Algebra[J].Journal of Mathematical Research with Applications,2003,23(1):15-20. |
| |
| Authors: | WANG Qing-wen and LI Shang-zhi |
| |
| Institution: | Dept. of Math.; University of Science and Technology of China; Hefei; China;Dept. of Math.; University of Science and Technology of China; Hefei; China |
| |
| Abstract: | Let Ω be a finite dimensional central algebra with an involutorial antiautomorphism and chartΩ≠ 2. Two systems of matrix equations over Ω are considered. Necessary and sufficient conditions for the existences of general solutions, and per(skew)selfconjugate solutions of the systems are given, respectively. |
| |
| Keywords: | central algebra system of matrix equations per(skew)selfconjugate ma-trix regular matrix quadruple |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
| 点击此处可从《数学研究及应用》浏览原始摘要信息 |
| 点击此处可从《数学研究及应用》下载免费的PDF全文 |
