关于矩阵的Perron根

A Noteon Perron Root of Matrices

设A是实数域上的n×n完全正矩阵,B是A的镶边矩阵,且是完全正矩阵,给出B的Perron根与A的Perron根之间的关系．

Let A be a totally positive matrix on R^n×n, B is a borded matrix of A and B is a totally positive matrix. In this note, the relationship of the Perron root of B and A are given.