| 四元数体上矩阵方程的自共轭解 |
| |
| 引用本文： | 曹文胜.四元数体上矩阵方程的自共轭解[J].数学研究及应用,2003,23(2):343-348. |
| |
| 作者姓名： | 曹文胜 |
| |
| 作者单位： | 湖南科技大学数学与软件研究所,湖南,湘潭,411201;湖南大学数学与计量经济学院,湖南,长沙,410082 |
| |
| 基金项目： | 湖南省教委青年基金资助项目(02C448) |
| |
| 摘 要： | 利用矩阵的M-P逆和矩阵分块,给出了四元数体上矩阵方程XB=D在子空间上有自共轭解的充要条件以及解的一般形式,并由此给出了矩阵方程AXB=D有自共轭解的充要条件和解的一般形式.
|
| 关 键 词： | M-P逆 自共轭阵 子空间 |
| 文章编号： | 1000-341X(2003)02-0343-06 |
| 收稿时间： | 2000/11/22 0:00:00 |
| 修稿时间： | 2000年11月22 |
The Self-Conjugate Solutions of Quaternion Matrix Equation |
| |
| CAO Wen-sheng.The Self-Conjugate Solutions of Quaternion Matrix Equation[J].Journal of Mathematical Research with Applications,2003,23(2):343-348. |
| |
| Authors: | CAO Wen-sheng |
| |
| Institution: | Inst. of Math. &. Software; Hunan University of Science and Technology; Xiangtan; China; College of Math. &. Econometrics; Hunan University; Changsha; China |
| |
| Abstract: | By using of Moore-Penrose inverse and Matrix Decomposition, the necessary and sufficient conditions for the existence of the Self-conjugate matrix solutions over subspace for quaternion matrix equation XB = D are obtained together with the general forms of such solutions, and more, the necessary and sufficient conditions are obtained for matrix equation AXB = D to have Self-conjugate matrix splutions, along with the expression for general common solutions. |
| |
| Keywords: | the Moore-Penrose inverse self-conjugate matrix subspace |
| 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 |
