格值矩阵的逆及广义逆  

The Inverse and Generalized Inverse of Lattice-valued Matrices

作　　者：邹蓥[1] 雷红轩[1,2] 罗兰[1] 陈华英[1] ZOU Ying;LEI Hong—xuan;LUO Lan;CHEN Hua-ying(College of Mathematics&Information Science,Neijiang Normal University,Neijiang,Sichuan 641112;Key Laboratory of Numerical Simulation of Sichuan Provice,Neijiang,Sichuan 641112,China)

机构地区：[1]内江师范学院数学与信息科学学院,四川内江641112 [2]四川省高等学校数值仿真重点实验室,四川内江641112

出　　处：《内江师范学院学报》2009年第6期22-25,共4页Journal of Neijiang Normal University

基　　金：四川省教育厅重点科研项目资助(08ZA129)

摘　　要：探讨了基于格半群上的矩阵的逆和广义逆等问题,给出了格值矩阵的逆、{1}-广义逆和M-P广义逆的概念和它们存在的条件,以及格值矩阵A的任意一个{1}-广义逆的具体形式、M-P广义逆的存在性和唯一性.The inverse and the generalized inverse of lattice-valued matrices based on lattice-monoids are discussed.The inverse of lattice-valued matrices is then given and the concept of{1}-generalized inverse and M-P generalized inverse with their existence conditions is also put forth.The concrete form of any one of the{1}-generalized inverses in the lattice-valued matrix A is presented and the M-P generalized inverse does exist and is characterized by uniqueness.

关 键 词：格半群 格值矩阵 {1}-广义逆 M-P广义逆 

分 类 号：O235[理学—运筹学与控制论]