非奇异H-矩阵的判定及其在神经网络系统中的应用  

Criteria for nonsingular H-matrices and its application on neural network system

作　　者：孙德淑 李朝迁[1] 

机构地区：[1]云南大学数学与统计学院,云南昆明6500911

出　　处：《云南大学学报（自然科学版）》2015年第6期800-804,共5页Journal of Yunnan University(Natural Sciences Edition)

基　　金：国家自然科学基金(11361074);云南省应用基础研究计划青年项目基金(2013FD002)

摘　　要：非奇异H-矩阵在矩阵分析和数值代数的研究中具有重要作用,但判别H-矩阵是十分困难的.通过对矩阵行标作划分的方法,给出了非奇异H-矩阵新的判定条件,改进了已有结果,将其应用在神经网络系统中,并给出数值例子说明结果的有效性.Nonsingular H- matrices play a very important role in the research of matrix analysis and numerical algebra. But it is difficult to determine whether a matrix is a nonsingular H- matrix or not. Some sufficient conditions for nonsingular H- matrices are obtained according to the partition of the row indices,which improved some related results. And its application on neural network system is given. A numerical example is given to show its effectivity.

关 键 词：非奇异H-矩阵 对角占优性 非零元素链 神经网络系统 

分 类 号：O151.21[理学—数学]