Optimization of the Spectral Radius of a Product for Nonnegative Matrices

@inproceedings{Axtell2007OptimizationOT,
  title={Optimization of the Spectral Radius of a Product for Nonnegative Matrices},
  author={Jonathan C. Axtell and Lixing Han and Daniel Hershkowitz and Michael Neumann},
  year={2007}
}
Let A be an n × n irreducible nonnegative matrix. We show that over the set Ωn of all n × n doubly stochastic matrices S, the multiplicative spectral radius ρ(SA) attains a minimum and a maximum at a permutation matrix. For the case when A is a symmetric nonnegative matrix, a by-product of our technique of proof yields a result allowing us to show that… CONTINUE READING