Majorizations for the dominant eigenvector of a nonnegative matrix

Motivated by network controller design applications, we develop several majorization results for the dominant eigenvector of an irreducible nonnegative matrix.

[1]  A. Saberi,et al.  Designing spatially heterogeneous strategies for control of virus spread. , 2008, IET systems biology.

[2]  A. Berman,et al.  Nonnegative matrices in dynamic systems , 1979 .

[3]  Sandip Roy,et al.  Scaling: a canonical design problem for networks , 2006, 2006 American Control Conference.

[4]  Robert J. Plemmons,et al.  Nonnegative Matrices in the Mathematical Sciences , 1979, Classics in Applied Mathematics.