非奇异H-矩阵的一组新判定  

A Set of New Criteria for Nonsingular H-Matrices

作　　者：邰志艳[1] 李庆春[2] 

机构地区：[1]吉林医药学院数学教研室,吉林吉林132013 [2]北华大学数学与统计学院,吉林吉林132013

出　　处：《吉林大学学报（理学版）》2014年第6期1171-1175,共5页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金(批准号:11171133);吉林省教育厅"十一五"科学技术研究项目(批准号:2010130)

摘　　要：根据α-对角占优矩阵理论,运用不等式的放缩技巧,得到非奇异H-矩阵的几个新判定条件,推广并改进了已有的对H-矩阵的判定方法,并用数值算例说明了所给判定方法的优越性.Based on the theory ofα-diagonally dominant matrices and some techniques for inequlities, several new sufficient conditions to determine non-singular H-matrices were obtained and thus the corresponding results were improved and generalized.These conditions have improved and generalized some relate existed results for H-matrices.A numerical example was given to show the advantages of our results.

关 键 词：非奇异 H-矩阵 对角占优矩阵 正对角矩阵 Α-对角占优矩阵 

分 类 号：O151.21[理学—数学]