| 四元数体上矩阵方程的斜自共轭解 |
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| 引用本文： | 曹文胜,黄礼平.四元数体上矩阵方程的斜自共轭解[J].湖南科技大学学报(自然科学版),2001,16(2):89-92. |
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| 作者姓名： | 曹文胜 黄礼平 |
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| 作者单位： | 湘潭工学院数学与软件研究所, |
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| 摘 要： | 利用四元数矩阵的M-P逆,得到了四元数矩阵方程XB=D在子空间上有斜自共轭解的充要条件以及解的形式,由此给出了四元数矩阵方程AXB=D有斜自共轭解的充要条件和解的一般形式.参5.
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| 关 键 词： | 四元数 M-P逆 自共轭阵 斜自共轭阵 子空间 |
| 文章编号： | 1000-9930(2001)02-0089-04 |
| 修稿时间： | 2000年11月3日 |
The skew-self-conjugate solutions of quaternion matrix equation |
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| CAO Wen-sheng,HUANG Li-ping.The skew-self-conjugate solutions of quaternion matrix equation[J].Journal of Hunan University of Science & Technology(Natural Science Editon),2001,16(2):89-92. |
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| Authors: | CAO Wen-sheng HUANG Li-ping |
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| Abstract: | By using of Moore-Penrose inverse,the necessary and sufficient conditions for the existence of the skew-self-conjugate matrix solutions over subspace for quaternion matrix equation XB=D are obtained together with the general forms of such solutions,further more,the necessary and sufficient conditions are obtained for quaternion matrix equation AXB=D to have skew-self-conjugate matrix solutions,as well as the general forms of such solutions.5refs. |
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| Keywords: | quaternion the Moore-Penrose inverse self-conjugate matrix skew-self-conjugate matrix subspace |
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