非奇H-矩阵的一组迭代判别法  

A SET OF ITERATIVE CRITERIA FOR NONSINGULAR H-MATRICES

作　　者：张骁[1] 陆全[1] 徐仲[1] 崔静静[1] 

机构地区：[1]西北工业大学应用数学系,西安710072

出　　处：《数值计算与计算机应用》2015年第1期59-68,共10页Journal on Numerical Methods and Computer Applications

基　　金：国家自然科学基金(10802068)资助项目

摘　　要：非奇H-矩阵作为一类特殊矩阵,在科学和工程计算中有着重要的应用.本文利用迭代系数构造正对角阵,给出了非奇H-矩阵的一组迭代判别法,并证明了其充分必要性,推广和改进了近期的一些结果.数值算例也说明了该组迭代判别法的有效性.Nonsingular H-matrix is a special class of matrices which has important application in scientific and engineering computing. In this paper, we construct positive diagonal matrices by the method of selecting iterative coefficients, obtain a set of iterative criteria for nonsingu-lar H-matrices and then prove the necessity and sufficiency, and furthering latest discoveries. Effectiveness of such criteria is also justified by numerical examples.

关 键 词：非奇H-矩阵 迭代算法 充要条件 

分 类 号：O151.21[理学—数学]