非奇异H矩阵判定的充分条件  

Sufficient conditions for the determination of nonsingular H-matrices

作　　者：杨亚芳[1] 梁茂林[1] YANG Ya-fang;LIANG Mao-lin(School of Mathematics and Statistics, Tianshui Normal University, Tianshui 741001, Gansu, China)

机构地区：[1]天水师范学院数学与统计学院,甘肃天水741001

出　　处：《宝鸡文理学院学报（自然科学版）》2021年第3期20-25,共6页Journal of Baoji University of Arts and Sciences(Natural Science Edition)

基　　金：国家自然科学基金项目(11961057);甘肃省教育科学“十三五”规划2020年度课题(GS[2020]GHB4815);天水市科技局项目(2021-ZCFGK-4383);天水师范学院伏羲科研创新团队基金项目(FXD2020-03);天水师范学院创新能力提升基金项目(CXT2019-36);天水师范学院创新基金项目(CXJ2020-11);天水师范学院教学改革研究基金项目(JY202004,JY203008)。

摘　　要：目的寻求非奇异H矩阵的新判定条件。方法通过构造新的正对角矩阵作为变换因子,同时应用不等式放缩技巧。结果根据广义严格α-对角占优矩阵是非奇异H矩阵的理论,得到了一组判定一个矩阵是否为非奇异H矩阵的新的充分条件。结论对已有文献给出的判定条件进行了改进,完善了H矩阵的判定体系。Purposes—To find several new conditions for the determination of nonsingular H-matrices.Methods—Some new positively diagonal matrix is constructed as a new transformation factor and the inequality scaling technique is also used.Result—Acording to the theory that generalized strictlyα-diagonally dominate matrix is nonsingular H-matrix,a new sufficient condition is obtained in this paper.Conclusion—The method given in the existing literature is improved,and the system for the determination of nonsingular H-matrix is also perfected.

关 键 词：非奇异H矩阵 广义严格α-对角占优矩阵 不可约矩阵 非零元素链 

分 类 号：O151.21[理学—数学]