四川师范大学学报（自然科学版）2011，Vol.34Issue(3)：300-304,5.DOI:10.3969/j.issn.1001-8395.2011.03.004
非奇异H-矩阵新的充分条件
New Sufficient Conditions for Nonsingular H-matrices
摘要
Abstract
In the theory and applications of numerical linear algebra, the class of H-matrices is very important.Let A = ( aij ) ∈ Cn×n, if there exists a∈ (0,1) which can make |aii| ≥Rαi(A)S(1-α)i(A) be right for (∨)i∈N, thenA is called an α-chain diagonally dominant matrix.In this paper, the concept is extended to that of generalized a-chain diagonally dominant matrices.By using the properies of a-chain diagonally dominant matrices and applying some techniques of inequalities, some new sufficient conditions for a matrix to be a nonsingular H-matrix are obtained.The results obtained improve the known corresponding results.At last a numerical example is given for illustrating the advantage of our results.关键词
α-链对角占优矩阵/不可约矩阵/非奇异H-矩阵Key words
α-chain diagonally dominant matrix/ irreducible matrix/ nonsingular H-matrix分类
数理科学引用本文复制引用
王明刚,宋岱才,田秋菊..非奇异H-矩阵新的充分条件[J].四川师范大学学报（自然科学版）,2011,34(3):300-304,5.基金项目
辽宁省教育厅高校科研基金(2004F100)资助项目 （2004F100）
