X-Git-Url: https://bilbo.iut-bm.univ-fcomte.fr/and/gitweb/kahina_paper1.git/blobdiff_plain/d050c18b9d02bb8d86bf994732d35d5d731f2b3c..8f44fe5aa15f1d0795d9c1f5be461a09bc6ca4ca:/paper.tex diff --git a/paper.tex b/paper.tex index d9c3324..6507d22 100644 --- a/paper.tex +++ b/paper.tex @@ -229,10 +229,11 @@ and experimental study results. Finally, Section\ref{sec7} 6 concludes this paper and gives some hints for future research directions in this topic. -\section{The Sequential Aberth method} +\section{The Sequential Ehrlich-Aberth method} \label{sec1} A cubically convergent iteration method for finding zeros of -polynomials was proposed by O. Aberth~\cite{Aberth73}. In the fellowing we present the main stages of the running of the Aberth method. +polynomials was proposed by O. Aberth~\cite{Aberth73}. In the +following we present the main stages of our implementation the Ehrlich-Aberth method. %The Aberth method is a purely algebraic derivation. %To illustrate the derivation, we let $w_{i}(z)$ be the product of linear factors