%0 Journal Article
%T 基于递进结构的广义Nekrasov矩阵的判定<br>Determination of Generalized Nekrasov Matrices Based on Progressive Structure
%A 刘一博
%J Advances in Applied Mathematics
%P 237-242
%@ 2324-8009
%D 2025
%I Hans Publishing
%R 10.12677/aam.2025.143110
%X 本文通过递进结构选取正对角矩阵因子的元素&#65292;利用Nekrasov矩阵的性质以及不等式的放缩技巧&#65292;给出了一类新的Nekrasov矩阵的判定方法。<br>This article presents a new method for determining a class of Nekrasov matrices by selecting the elements of diagonal matrix factors through a progressive structure, utilizing the properties of Nekrasov matrices and scaling techniques of inequalities.
%K 非奇异H-矩阵&#65292
%K Nekrasov矩阵&#65292
%K 广义对角占优矩阵<br>Nonsingular H-Matrices
%K Nekrasov Matrices
%K Generalized Strictly Diagonally Dominate Matrices
%U http://www.hanspub.org/journal/PaperInformation.aspx?PaperID=109656