单纯阵的分类及特征值估计

A Classification of Simplicial Matrix and Estimation of Characteristic Root

本文给出了单纯阵新的等价条件,从对角形的角度建立起单纯阵的一种分类方法。按照这种分类法,我们研究了某些特殊单纯阵的特征值的估计,推广并改进了[2—6]的有关结果。

In this paper, we give a new necessary and sufficient condition and a new method of classification for simplicial matrix, and obtain estimation of charac-tenstic root of simplicial matrix. The relevant results in [2 - 6] are entended and imporoved.