中北大学学报（自然科学版）2017，Vol.38Issue(6)：593-596,4.DOI:10.3969/j.issn.1673-3193.2017.06.007
非奇异H-矩阵判定的一类充要条件
A Kind of Necessary and Sufficient Conditions for Identifying Nonsingular H-Matrices
摘要
Abstract
Nonsingular H-matrices are a kind of important special matrices,which have been widely used in matrix theory,the control system,economics and many other fields,but it is difficult to identify a nonsingular H-matrix in practice.In this paper,according to the distribution characteristics of matrix el-ements and the monotonicity of logarithmic function,by means of the relationship between chain diago-nally dominant matrices and nonsingular H-matrix,we give a kind of necessary and sufficient conditions for identifying nonsingular H-matrices.The sufficient and necessary conditions can also be extended to determine whether the irreducible matrix and the nonzero elements chain matrix is nonsingular H-matrix or not.Finally,numerical examples are used to confirm the sufficient and necessary conditions.关键词
非奇异H-矩阵/α链对角占优/不可约/非零元链Key words
nonsingular H-matrices/α-chain diagonally dominant/irreducible/nonzero elements chain分类
数理科学引用本文复制引用
张俊丽,韩贵春..非奇异H-矩阵判定的一类充要条件[J].中北大学学报（自然科学版）,2017,38(6):593-596,4.基金项目
国家自然科学基金资助项目(11361038) （11361038）
内蒙古教育厅基金资助项目(NJZZ16175) （NJZZ16175）
内蒙古民族大学自然科学基金资助项目(NMDYB1751) （NMDYB1751）
