具有两个中心点的星符号模式的惯量(英文)

The Inertia Sets of Star Sign Patterns with Two Central Vertices

元素来自于集合{+,-,0}的矩阵A称为符号模式矩阵,简称符号模式.A的符号模式矩阵类定义为符号模式为A的所有实矩阵的集合.本文中,我们考虑n×n的对称符号模式A,其中除了(1,1),(1,2),(2,1),(2,2)元素外,A的前两行和前两列的元素全为正的,其它的非对角元素全为零.本文给出了A(n≥2)的惯量.

A sign pattern matrix A is a matrix whose entries are from the set {＋, -. 0}. The sign pattern matrix class of A is defined by the set of all real matrixes those sign pattern is A. After a research on an n × n symmetric sign pattern A with all the entries on the first two rows and columns being positive except （1, 1）, （1,2）, （2,1）, （2,2） entries, and other non-diagonal entries being zero, this paper has presented the inertia of A（n≥2）.