| 摘要: |
| 指出对于非负正定矩阵的平方阵的减序,矩阵的非负正定性可以减弱为Hermmite矩阵,同时利用矩阵的组合关系,给出Hermmite矩阵的平方矩阵的*序的等价刻画. |
| 关键词: 矩阵 *序 减序 |
| DOI： |
| 投稿时间：2006-02-07 |
| 基金项目:广西自然科学基金(0575032,0640016);广西教育厅科研项目(桂教科研200507126);广西高校百名中青年学科带头人资助计划;广西民族大学重大科研项目联合资助。 |
|
| A Note on the Lower Partial Ordering and Space Preordering of Hermitian Non-negative Definite Matrices |
|
LIU Xiao-ji
|
| (College of Computer and Information Science, Guangxi University for Nationaliteis, Nanning, Guangxi, 530006, China) |
| Abstract: |
| We point out that the result on minus partial on the squares of non-negative definite matrix is hold for the Hermmite matrices,and investigate the relation between the minus and star partial ordering of the matrices.Further,a equivalencies for the star partial ordering of the Hermmite matrices is given using the linear combinations. |
| Key words: Hermmite matrix star partial ordering minus partial ordering |
