广义对角占优矩阵的讨论及其应用  

Discussion of Generalized Diagonally Dominant Matrix and Its Application

作　　者：孙德淑 彭小平 SUN De-shu;PENG Xiao-ping(College of Data Science and Information Engineering, Guizhou Minzu University,Guiyang 550025,China)

机构地区：[1]贵州民族大学数据科学与信息工程学院,贵州贵阳550025

出　　处：《广西师范学院学报（自然科学版）》2018年第4期18-22,共5页Journal of Guangxi Teachers Education University(Natural Science Edition)

基　　金：国家自然科学基金(11501141);贵州省科学技术基金([2018]1079);贵州省教育厅自然科学基金([2015]420);贵州民族大学校科研基金(2017YB068)

摘　　要：广义对角占优矩阵在动力系统理论及智能科学等许多学科中都有着广泛的应用.但在实际应用中要判定广义对角占优矩阵是比较困难的.该文给出判定广义对角占优矩阵的一组新条件,并给出其在神经网络系统中的应用实例,相应数值例子说明了新判定方法的有效性.Generalized diagonally dominant matrices play an important role in the stability of neural network system.But it is difficult to determine a generalized diagonally dominant matrix in practice.In this paper,some criteria for generalized diagonally dominant matrices are obtained,and their application in neural network system is given.Advantages of results obtained are illustrated by a numerical example.

关 键 词：广义对角占优矩阵 神经网络系统 对角占优性 不可约 非零元素链 

分 类 号：O151.21[理学—数学]