| 摘要: |
| 定义四元数矩阵的加权*-序,利用四元数矩阵的加权奇异值分解,给出加权*-序的一些刻画,讨论任意两个四元数矩阵可以同时加权奇异值分解的充分必要条件,由此得到四元数矩阵的加权*-序的一些性质. |
| 关键词: 矩阵 *-序 加权广义逆 奇异值分解 |
| DOI： |
| 投稿时间：2005-03-30修订日期：2005-06-01 |
| 基金项目:广西科学基金(桂科基05705032);广西教育厅项目(桂教科研47号200507126)联合资助 |
|
| The Weighted Star Partial Ordering of Quaternion Matrices |
|
LIU Xiao-ji
|
| (College of Computer and Information Science, Guangxi University for Nationalities, Nanning, Guangxi, 530006, China) |
| Abstract: |
| The weighted *-star partial ordering of quaternion matrices is defined,with obtaining of some characterization.A necessary and sufficient condition is obtained for the existence simultaneous weighted singular decomposition of quaternion matrices.Some properties of the weighted *-order are discussed with the help of weighted singular decomposition. |
| Key words: matrices *-star partial weighted inverse singular decomposition |
