ELA, Volume 13, pp. 352-358, November 2005, abstract.

A Note on Estimates for the Spectral Radius 
of a Nonnegative Matrix

Shi-Ming Yang and Ting-Zhu Huang

Utilizing the concept of Perron complement, a new estimate 
for the spectral radius of a nonnegative irreducible matrix 
is presented. A new matrix is derived that preserves the 
spectral radius while its minimum row sum increases and its 
maximum row sum decreases. Numerical examples are provided 
to illustrate the effectiveness of this approach.