From: couturie Date: Mon, 2 Nov 2015 13:41:17 +0000 (-0500) Subject: small corrections X-Git-Url: https://bilbo.iut-bm.univ-fcomte.fr/and/gitweb/kahina_paper1.git/commitdiff_plain/6382bb43b839e51d3f4718774692789be4da5c2f small corrections --- diff --git a/paper.tex b/paper.tex index c49a705..4e2180e 100644 --- a/paper.tex +++ b/paper.tex @@ -136,7 +136,7 @@ two main groups: direct methods and iterative methods. Direct methods exist only for $n \leq 4$, solved in closed form by G. Cardano in the mid-16th century. However, N. H. Abel in the early 19th century showed that polynomials of degree five or more could not -be solved by direct methods. Since then, mathmathicians have +be solved by direct methods. Since then, mathematicians have focussed on numerical (iterative) methods such as the famous Newton method, the Bernoulli method of the 18th, and the Graeffe method. @@ -346,7 +346,7 @@ where: \begin{equation} \label{Log_H1} -Q(z^{k}_{i})=\exp\left( \ln (p(z^{k}_{i}))-\ln(p'(z^{k}^{i}))+\ln \left( +Q(z^{k}_{i})=\exp\left( \ln (p(z^{k}_{i}))-\ln(p'(z^{k}_{i}))+\ln \left( \sum_{k\neq j}^{n}\frac{1}{z^{k}_{i}-z^{k}_{j}}\right)\right). \end{equation}