Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5772975 | Linear Algebra and its Applications | 2017 | 12 Pages |
Abstract
New bounds for the Perron root Ï(A) of a nonnegative matrix A are proposed. We prove thatmin1â¤iâ¤nâ¡ri(AB)ri(B)â¤Ï(A)â¤max1â¤iâ¤nâ¡ri(AB)ri(B) where B is an arbitrary matrix with row sums ri(B)=âkbik>0, i=1,...,n. The bounds of H. Minc [1] and Shulin Liu [6] are both special cases of this result. And based on this result, we also get some bounds for the spectral radius of iteration matrices.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Ping Liao,