M-矩阵Hadamard积最小特征值下界的改进
A Modification on the Minimum Eigenvalue's Bounds of the Hadamard Product of M-Matrices
周平1
作者信息
- 1. 文山学院 人工智能学院,云南 文山 663099
- 折叠
摘要
针对非奇异M-矩阵和M-矩阵的逆矩阵Hadamard积的最小特征值下界问题,结合M-矩阵的逆矩阵元素的上界、特征值包含域定理以及不等式放缩技巧,获得两个容易计算的、具有可调节参数且只与矩阵元素相关的新估计式,同时给出当A-1 是双随机矩阵时的两个改进的估计式,并通过理论分析和数值例子对比表明新下界比已有的结果更精确,具有一定的优越性和有效性.
Abstract
In this paper,the minimum lower bound of eigenvalues for the Hadamard product of non-singular M-matrix and the inverse matrix of M-matrix are discussed,two new estimators are obtained,which are easy to calculate,have adjustable parameters and are only related to matrix elements.And two improved estimators are given when A-1is doubly stochastic matrix.It is shown that the new lower bounds are more accurate than some other conclusions through theoretical analysis and numerical examples,and has some advantages and effectiveness.
关键词
M-矩阵/Hadamard积/双随机矩阵/最小特征值/新下界Key words
M-matrix/Hadamard product/doubly stochastic matrix/new lower bound引用本文复制引用
出版年
2024
NETL
NSTL
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