Article ID Journal Published Year Pages File Type
5772975 Linear Algebra and its Applications 2017 12 Pages PDF
Abstract
New bounds for the Perron root ρ(A) of a nonnegative matrix A are proposed. We prove thatmin1≤i≤n⁡ri(AB)ri(B)≤ρ(A)≤max1≤i≤n⁡ri(AB)ri(B) where B is an arbitrary matrix with row sums ri(B)=∑kbik>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
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