| 完全分配格上的矩阵的逆及广义逆 |
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| 引用本文： | 田振际,李敦刚,杜建军. 完全分配格上的矩阵的逆及广义逆[J]. 兰州大学学报(自然科学版), 2004, 40(1): 14-17 |
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| 作者姓名： | 田振际 李敦刚 杜建军 |
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| 作者单位： | 西安交通大学,理学院,陕西,西安,710049;兰州理工大学,理学院,甘肃,兰州,730050;兰州理工大学,理学院,甘肃,兰州,730050 |
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| 基金项目： | 甘肃省自然科学基金资助项目(ZS032-B25-020). |
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| 摘 要： | 研究了完全分配格上的矩阵的逆、{1}—广义逆和M—P广义逆，给出了完全分配格上的矩阵的逆存在的若干等价条件；讨论了格矩阵的{1}—广义逆和M—P广义逆存在的条件，并给出了它们的计算方法。
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| 关 键 词： | 完全分配格 格矩阵 {1}-广义逆 M-P广义逆 |
| 文章编号： | 0455-2059(2004)01-0014-04 |
Inverse and generalized inverse of matrices over completely distributive lattice |
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| TIAN Zhen-ji,LI Dun-gang,DU Jian-jun. Inverse and generalized inverse of matrices over completely distributive lattice[J]. Journal of Lanzhou University(Natural Science), 2004, 40(1): 14-17 |
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| Authors: | TIAN Zhen-ji LI Dun-gang DU Jian-jun |
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| Affiliation: | TIAN Zhen-ji1,LI Dun-gang2,DU Jian-jun2,2 |
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| Abstract: | In this paper, the inverse, generalized {1}-inverse and generalized M-P-inverse existence of ma- trices over completely distributive lattice are studied. Some equivalent conditions of inverse existence of matrices over completely distributive lattice are described. Also, conditions of generalized {1}-inverse and generalized M-P-inverse existence of a lattice matrice are studied. And the calculating method is o?ered. |
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| Keywords: | completely distributive lattice lattice matrix generalized {1}-inverse generalized M-P-inverse AMS Subject Classi?cations(2000): 20M12 |
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