一类迹占优方阵的特征值的估计

The Estimation of the Characteristic Roots of a Class of Trace Dominant Matrix

本文推广文［１」中（Ⅰ）型、（Ⅱ）型迹占优阵，给出一种称之为（Ⅲ）型的迹占优阵，并讨论其性质以及这三类迹占优阵之间的相互关系，得到了（Ⅲ）型迹占优阵的特征值更精确的估计式。

In this paper, we extend the concept of the types (Ⅰ), (Ⅱ) of trace dominant matrix introduced in [1]. We give the concept of the type (Ⅲ) of trace dominant matrix and discuss its properties, and study the relations among these matrices. The more accurae estimating equations about the characteristic roots of the type (Ⅲ) of trace dominant matrix are obtained.