| 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 |
| 四元数体上矩阵方程的自共轭解 |
| The Self-Conjugate Solutions of Quaternion Matrix Equation |
| 投稿时间：2000-11-22 |
| DOI：10.3770/j.issn:1000-341X.2003.02.028 |
| 中文关键词: M-P逆 自共轭阵 子空间 |
| 英文关键词:the Moore-Penrose inverse self-conjugate matrix subspace |
| 基金项目:湖南省教委青年基金资助项目(02C448) |
|
| 摘要点击次数: 2072 |
| 全文下载次数: 1466 |
| 中文摘要: |
| 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. |
| 英文摘要: |
| 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. |
| 查看全文 查看/发表评论 下载PDF阅读器 |
|
|
|
