摘要
运用α-链对角占优矩阵的理论及Hlder不等式的放缩技巧,得到非奇异H-矩阵的几个新判据,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有效性和优越性.
By using the theory ofα-chain diagonally dominant matrices and some techniques for Hlder inequalities,we obtained some new criteria for non-singular H-matrices,and thus the corresponding results improved and generalized the existing determination methods for H-matrices.The validity and superiority of the determination methods were illustrated by numerical examples.
出处
《吉林大学学报（理学版）》
CAS
CSCD
北大核心
2016年第5期1022-1026,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"十二五"科学技术研究项目(批准号:2015393
2015131)
关键词
非奇异H-矩阵
对角占优矩阵
正对角矩阵
α-链对角占优矩阵
nonsingular H-matrix
diagonally dominant matrix
positive diagonal matrix
α-chain diagonally dominant matrix
