%A Frakis, Abdelkader
%D 2019
%T New bounds for the spread of a matrix using the radius of the smallest disc that contains all eigenvalues
%K
%X Let $\mathcal{D}$ denote the smallest disc containing all eigenvalues of the matrix $A$. Without knowing the eigenvalues of $A$, we can estimate the spread of $A$ and the radius of $\mathcal{D}$. Some new bounds for the radius of $\mathcal{D}$ and the spread of $A$ are given. These bounds involve the entries of $A$. Also sufficient conditions for equality are obtained for some inequalities. New proofs of some known results are presented too.
%U http://www.iam.fmph.uniba.sk/amuc/ojs/index.php/amuc/article/view/1009
%J Acta Mathematica Universitatis Comenianae
%0 Journal Article
%P 87-96%V 89
%N 1
%@ 0862-9544
%8 2019-11-08