分配格上矩阵的M-P逆和加权M-P逆(英文)  

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

作　　者：张丽梅[1,2] 

机构地区：[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

出　　处：《山东大学学报（理学版）》2010年第12期33-39,47,共8页Journal of Shandong University(Natural Science)

基　　金：Supported by the Research Fund for the Doctoral Program of Higher Education(200802870003)

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。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.

关 键 词：分配格 二值矩阵表示 M-P逆 加权M-P逆 

分 类 号：O152.7[理学—数学]