| 完全分配格上的特殊矩阵 |
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| 引用本文： | 田振际,严克明,杜建军,李敦刚.完全分配格上的特殊矩阵[J].兰州理工大学学报,2003,29(4):122-124. |
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| 作者姓名： | 田振际 严克明 杜建军 李敦刚 |
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| 作者单位： | 兰州理工大学,理学院,甘肃,兰州,730050 |
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| 摘 要： | 研究了完全分配格上的矩阵A的{1} 广义逆和方程组AX=b的关系.给出了完全分配格上的正定矩阵的概念,并研究了格矩阵正定的若干等价条件.
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| 关 键 词： | 完全分配格 格矩阵 {1}广义逆 正定 零因子 |
| 文章编号： | 1000-5889(2003)04-0122-03 |
| 修稿时间： | 2003年2月25日 |
Special matrix over completely distributive lattice |
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| TIAN Zhen-ji,YAN Ke-ming,DU Jian-jun,LI Dun-gang.Special matrix over completely distributive lattice[J].Journal of Lanzhou University of Technology,2003,29(4):122-124. |
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| Authors: | TIAN Zhen-ji YAN Ke-ming DU Jian-jun LI Dun-gang |
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| Abstract: | The relationship between generalized {1}-inverse of matrix A over completely distributive lattice and linear equations set AX=b is studied. A conception of positive definite matrix over completely distributive lattice is given. And some equivalent conditions of positive definite lattice matrix are studied, also. |
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| Keywords: | completely distributive lattice latticed matrix generalized {1}-inverse positive definiteness zero-divisor |
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