Nekrasov矩阵的‖A-1‖∞新的上界估计式  

A new upper-bound estimator for the infinitynorm of inverse of Nekrasov matrices

作　　者：袁丹丹 陈晓勇 王亚强 YUAN Dan-dan;CHEN Xiao-yong;WANG Ya-qiang(School of Mathematics and Information Science,Baoji University of Arts and Sciences,Baoji 721013,Shaanxi,China)

机构地区：[1]宝鸡文理学院数学与信息科学学院

出　　处：《宝鸡文理学院学报（自然科学版）》2019年第4期13-17,共5页Journal of Baoji University of Arts and Sciences(Natural Science Edition)

基　　金：陕西省自然科学基础研究计划项目(2017JQ3020);宝鸡市2017年度科技计划项目(2017JH2-24);宝鸡文理学院校级重点项目(ZK16050)

摘　　要：目的建立Nekrasov矩阵的逆矩阵的无穷范数上界的新估计式。方法运用Nekrasov矩阵的定义及矩阵范数的性质,估计Nekrasov矩阵的逆矩阵的无穷范数上界。结果给出了Nekrasov矩阵的逆矩阵的无穷范数一个含参数ε上界估计式。结论数值例子表明了当选取适当的参数ε时,由新的估计式所得的估计值比文献中已有的结果更精确。Purposes-To construct a new upper-bound estimate for the infinity norm of the inverse of the Nekrasov matrices.Methods-The definition of Nekarsov matrices and the property of matrix norm are applied to estimate the upper bound for the infinity norm of the inverse of the Nekrasov matrices.Result-A new upper-bound estimator for the infinity norm of the inverse of the Nekrasov matrices is given which contains the parameterε.Conclusion-Numerical examples show that when the appropriate parameterεis selected,the new upper-bound estimator is better than existing bounds.

关 键 词：非奇异H矩阵 NEKRASOV矩阵 无穷范数 上界 估计 

分 类 号：O151.21[理学—数学]