分配格上矩阵的M-P逆和加权M-P逆

J4 ›› 2010, Vol. 45 ›› Issue (12): 33-39.

分配格上矩阵的M-P逆和加权M-P逆

张丽梅^1,2

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

收稿日期:2009-08-02 出版日期:2010-12-16 发布日期:2011-03-16

M-P inverses and weighted M-P inverses of matrices over a distributive lattice

ZHANG Li-mei^1,2

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

Received:2009-08-02 Online:2010-12-16 Published:2011-03-16
About author:ZHANG Li-mei (1978-), Female, Lecturer, Ph.D. candidate, her research mainly focuses on pattern recognition, matrix theory and computation. Email: zhanglimei@nuaa.edu.cn
Supported by:
Supported by the Research Fund for the Doctoral Program of Higher Education(200802870003)

摘要/Abstract

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

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.

Key words: distributive lattice; binary matrix representation; M-P inverse; weighted M-P inverse

张丽梅1,2. 分配格上矩阵的M-P逆和加权M-P逆[J]. J4, 2010, 45(12): 33-39.

ZHANG Li-mei1,2. M-P inverses and weighted M-P inverses of matrices over a distributive lattice[J]. J4, 2010, 45(12): 33-39.

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