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| 分配格上矩阵的M-P逆和加权M-P逆 | |
| 引用本文： | 张丽梅.分配格上矩阵的M-P逆和加权M-P逆[J].山东大学学报(理学版),2010,45(12):33-39. |
| 作者姓名： | 张丽梅 |
| 作者单位： | 1.南京航空航天大学计算机科学与工程系, 江苏 南京 210016; 2.聊城大学数学科学学院, 山东 聊城 252059 |
| 摘 要： | 用二值矩阵表示法(即将格矩阵表示成二值矩阵的线性组合)考察了分配格上矩阵的M-P逆和加权M-P逆,给出了这些逆存在的若干等价条件以及这些逆存在时格矩阵的结构特征。 |
| 关 键 词： | 分配格 二值矩阵表示 M-P逆 加权M-P逆 |
| 收稿时间： | 2009-08-02 |
M-P inverses and weighted M-P inverses of matrices over a distributive lattice |
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| ZHANG Li-mei.M-P inverses and weighted M-P inverses of matrices over a distributive lattice[J].Journal of Shandong University,2010,45(12):33-39. | |
| Authors: | ZHANG Li-mei |
| Institution: | 1. Department of Computer Science and Engineering, Nanjing University of Aeronautics ＆ Astronautics, Nanjing 210016, Jiangsu, China; 2. School of Mathematical Sciences, Liaocheng University, Liaocheng 252059, Shandong, China |
| Abstract: | M-P inverses and weighted M-P inverses over a distributive lattice are investigated using the binary matrix representation technique (I. E. , lattice matrices are represented by a linear combination of binary matrices). Some equivalent conditions for the existences of these inverses and the structure characters of lattice matrices are given when these inverses exist. |
| Keywords: | distributive lattice binary matrix representation M-P inverse weighted M-P inverse |
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