广义Nekrasov矩阵新的判定条件  

New Decision Conditions for Generalized Ne-krasov Matrix

作　　者：黄琦 庹清[1] 朱开心 

机构地区：[1]吉首大学数学与统计学院,湖南 吉首

出　　处：《应用数学进展》2023年第8期3566-3575,共10页Advances in Applied Mathematics

摘　　要：广义Nekrasov矩阵是一类应用广泛的特殊矩阵。本文主要研究Nekrasov矩阵的判定问题,通过构造新的放缩因子,从而给出了一组新的广义Nekrasov矩阵的判定条件,推广和改进了已有的结果,并用数值算例说明改进后方法的优越性。Generalized Nekrasov matrices are a kind of special matrices which are widely used. This paper mainly studies the Nekrasov matrices decision problem. In this paper, a new set of iterative decision conditions for generalized Nekrasov matrices are given by constructing new reduction factors. The existing results are extended and improved, and the superiority of the improved method is illus-trated by numerical examples.

关 键 词：广义NEKRASOV矩阵 弱Nekrasov矩阵 判定条件 

分 类 号：O15[理学—数学]