New upper bounds for the dominant eigenvalue of a matrix with Perron-Frobenius property

In this paper, we derive some upper bounds for the dominant eigenvalue of a matrix with some negative entries, which possess the Perron-Frobenius property. Numerical examples are given to illustrate the effectiveness of our new upper bounds.

Automated summary

This paper investigates upper bounds for the dominant eigenvalue of a matrix with negative entries, possessing the Perron-Frobenius property. Numerical examples are provided to demonstrate the effectiveness of the proposed upper bounds.