%0 Journal Article %A Ioannis K. Argyros %A Saïd Hilout %T On the convergence of Newton's method under $\omega ^\star $-conditioned second derivative %J Applicationes Mathematicae %D 2011 %P 341-355 %V 38 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.4064/am38-3-5/ %R 10.4064/am38-3-5 %G en %F 10_4064_am38_3_5