非奇异M矩阵研究  

Research on Non-singular M-Matrix

作　　者：张爱萍 ZHANG Ai-ping(Department of Mathematics and Science,Fenyang Normal College Branch of Lvliang University,Fenyang 032200,China)

机构地区：[1]吕梁学院汾阳师范分校数学与科学系,山西汾阳032200

出　　处：《西安文理学院学报（自然科学版）》2018年第5期27-30,共4页Journal of Xi’an University(Natural Science Edition)

摘　　要：非奇异M矩阵是一类特殊的M矩阵,它在应用中与M矩阵同等重要.主要研究M矩阵与非奇异M矩阵的一些重要特性,并给出了与M矩阵以及非奇异M矩阵彼此等价的几个命题,它们在数值分析、经济系统的投入产出分析、数理经济学中的一般均衡的稳定性、运筹学中线性互补问题等很多领域都具有重要的应用.Non-singular M-matrix is a special kind of M-matrix,which is as important as M-matrix in application. Some important characteristics of M-matrix and non-singular M-matrix are mainly studied in this paper,and several propositions which are equivalent to M matrix and nonsingular M matrix are given. They have important applications in many fields,such as numerical analysis,input-output analysis of economic system,general equilibrium stability in mathematical economics,linear complementarity problem in operational research and so on.

关 键 词：M矩阵 非奇异M矩阵 特性 等价命题 应用 

分 类 号：O151.21[理学—数学]