Computing the Perron roots of nonnegative matrices;

Estimation for the Perron Root of Nonnegative Matrices and Its Application;

Based on those sums,new lower bounds for the Perron roots of nonnegative matrices are derived,by using methods introudced by Lu and Ma.

Considered in this paper are properties of the generalized Perron complement of a n×n matrix K which is an irreducible M-matrix.

In this paper,applying the concerned properies of the Perron complement of nonnegative matrices to computing the Perron roots,we obtain an algorithm that can get an approximate value of the Perron roots.

This paper investigates the bounds for the extreme eigenvalues and the Perron complement of inverse N_0-matrices, including the bounds for the Perron root of nonnegative matrix and the minimal eigenvalue and some related results involving the Perron complement of inverse N_0-matrices.

For a nonnegative matrix A,this paper is concerned with the estimation of the spectral radius A,a new method that utilizes the relationship between Perron roots of the nonnegative matrix and its(generalized) Perron complements is pressented.

The concept of the Perron complement of a nonnegative and irreducible matrix was introduced by Meyer in 1989 and was used to construct an algorithm for computing the stationary distribution vector for Markov chain.

Lastly,the Perron complements and sums of generalized ultrametric matrices are also discussed.