| 关于矩阵的Sharp序、*序和减序 |
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| 引用本文： | 王志坚,刘晓冀.关于矩阵的Sharp序、*序和减序[J].数学研究,2003,36(1):75-81. |
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| 作者姓名： | 王志坚 刘晓冀 |
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| 作者单位： | 苏州科技学院数学系,江苏,苏州,215009 |
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| 基金项目： | 铁道部科研资助项目(J2000Z165) |
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| 摘 要： | 给出短阵sharp序的一个新的刻画，由此得到(半)正定短阵sharp序与其平方矩阵sharp序之间的关系．我们还讨论正规矩阵的*序与减序之间的关系，推广了关于Hermmite矩阵的相应结果．
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| 关 键 词： | 矩阵 Sharp序 核心幂零分解 ＊序 减序 Hermmite矩阵 偏序 复数域 |
| 修稿时间： | 2002年3月29日 |
On Three Partial Ordering of Matrices |
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| Wang Zhijian Liu. Xiaoji.On Three Partial Ordering of Matrices[J].Journal of Mathematical Study,2003,36(1):75-81. |
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| Authors: | Wang Zhijian Liu Xiaoji |
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| Institution: | Department of Mathematics University of Science and Technology of Suzhou > Suzhou 215009 |
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| Abstract: | A now characterization and some properties for the Sharp order of matrices are obtained using the corc-nilpotcnt decomposition of matrices- The relation between the Sharp partial ordering of the nonnegative definite matrices and its squares is obtained- The relation between the star and the minus partial ordering of normal matrices is discussed. The related known results of the Hermmite matrices are extended. |
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| Keywords: | Normal matrices Sharp partial ordering core-nilpotent decomposition star partial ordering minus partial ordering |
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