The Judgment and Application Algorithm for Inverse M-matrices

机译：逆M矩阵的判断与应用算法

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摘要

In this paper,a simple and convenient judging method will be given.It is used to judge whether a ｎ×ｎnonnegative real matrix A is an inverse Mmatrix.By using the method,we reduce the order of a ｎ×ｎmatrix A gradually until the reduced matrix can be judged by the definition of inverse M-matrices. At the same time,algorithm and its operation problem are also been studied.

机译：在本文中，将赋予简单且方便的判断方法。用于判断N×Nnonnegative Real矩阵A是否是逆Mmatrix.by，使用该方法，我们逐渐减少n×nmatrix的顺序直到通过反向M矩阵的定义可以判断减少矩阵。同时，还研究了算法及其操作问题。

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来源
《International conference on information, electronic and computer science》|2009年||共4页
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作者
Ji NaiHua; Yao Huiping; Wang Yingjie;
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原文格式 PDF
正文语种
中图分类计算技术、计算机技术;
关键词
M-matrix; Inverse M-matrix; Generalized positive definite matrix; Parallel algorithm;

机译：M-Matrix;逆M矩阵;广义正定矩阵;并行算法;

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专利

1. Proximity in group inverses of M-matrices and inverses of diagonally dominant M-matrices [J] . Catral M, Neumann M, Xu JH Linear Algebra and its Applications . 2005,第0期

机译：M矩阵的群逆和对角占优M矩阵的逆
2. Inequalities for M-matrices and inverse M-matrices [J] . Chen S Linear Algebra and its Applications . 2007,第2a3期

机译：M矩阵和逆M矩阵的不等式
3. A note on Newton and Newton-like inequalities for M-matrices and for Drazin inverses of M-Matrices [J] . Neumann Michael, Xu Jianhong The Electronic Journal of Linear Algebra . 2006,第1期

机译：关于M矩阵和M矩阵的Drazin逆的牛顿和类牛顿不等式的注记
4. The Judgment and Application Algorithm for Inverse M-matrices [C] . Ji NaiHua, Yao Huiping, Wang Yingjie International conference on information, electronic and computer science;ICIECS 2009 . 2009

机译：逆M矩阵的判定与应用算法
5. Characterizations of matrices enjoying the Perron-Frobenius property and generalizations of M-matrices which may not have nonnegative inverses. [D] . Elhashash, Abed. 2008

机译：享受Perron-Frobenius属性的矩阵的刻画以及可能没有非负逆的M矩阵的推广。
6. Comparison of the Probabilistic Ant Colony Optimization Algorithm and Some Iteration Method in Application for Solving the Inverse Problem on Model With the Caputo Type Fractional Derivative [O] . Rafał Brociek, Agata Chmielowska, Damian Słota 2020

机译：概率蚁群优化算法的比较及其在求解模型逆问题的应用中的迭代方法Caputo型分数衍生
7. Proximity in group inverses of M-matrices and inverses of diagonally dominant M-matrices [O] . Catral Minerva, Neumann Michael, Xu Jianhong 2005

机译：M矩阵的组逆和对角占优M矩阵的逆

The Judgment and Application Algorithm for Inverse M-matrices

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