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.