Different acceleration procedures of Newton's method.
ISSN: 1450-1554
Año de publicación: 1997
Volumen: 27
Páginas: 1-17
Tipo: Artículo
Otras publicaciones en: Novi Sad Journal of Mathematics
Resumen
Three methods for accelerating the convergence of Newton's method for the solution of a single nonlinear equation are given. The logarithmic convexity of the given nonlinear equation is used to derive two methods based on functions with lower logarithmic convexity. The third method is based on a global approximation to the equation by a tangent line. All three methods lead to pointwise acceleration for the three independent iterative processes given in this paper. A variety of numerical examples are given. These exhibit the relative efficiency of the proposed methods