一类关于非奇异H-矩阵判定的细分迭代新准则  

A CLASS OF SUBDIVIDING AND ITERATIVE NEW CRITERIA FOR NONSINGULAR//-MATRICES DETERMINATIONS

作　　者：石慧[1] 庹清[1] 吴乐 陈茜 Shi Hui;Tuo Qing;Wu Le;Chen Xi(College of Mathematics and Statistics,Jishou University,Jishou 416000,China)

机构地区：[1]吉首大学数学与统计学院,吉首416000

出　　处：《数值计算与计算机应用》2022年第2期176-187,共12页Journal on Numerical Methods and Computer Applications

基　　金：国家自然科学基金(H461027);湖南省教育厅科学研究项目(21C0365);吉首大学校级科研项目(Jdy21001)资助.

摘　　要：本文主要研究了基于a-链对角占优矩阵关系的非奇异H-矩阵判定条件问题.利用非奇异H-矩阵的性质,以及a-链对角占优矩阵与其的关系,通过对矩阵非占优行集合区间进行细分和构造新递进系数的方法,给出了一类关于非奇异H-矩阵判定的细分迭代新准则,改进了近期的一些结果,并用数值算例说明了该判定准则的有效性.In this paper,we mainly study the criteria of nonsingular H-matrices based on the relation of a-chain diagonally dominant matrices.By using the properties of nonsingular H-matrices and the relationship between them and a-chain diagonally dominant matrices,we present a class of subdividing and iterative new criteria for nonsingular H-matrices determinations is given by subdividing the interval of the set of non-occupied rows of the matrix and constructing new recurrence coefficients.Some recent results are improved.Numerical examples for the effectiveness of the criteria are presented.

关 键 词：非奇异H-矩阵 a-链对角占优 不可约 非零元素链 

分 类 号：O151.21[理学—数学]