Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6416532 | Linear Algebra and its Applications | 2013 | 7 Pages |
Abstract
Let A=[aij]i,j=1n be a nonnegative matrix with a11=0. We prove some lower bounds for the spread s(A) of A that is defined as the maximum distance between any two eigenvalues of A. If A has only two distinct eigenvalues, then s(A)⩾n2(nâ1)r(A), where r(A) is the spectral radius of A. Moreover, this lower bound is the best possible.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Roman Drnovšek,