Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9509406 | Journal of Computational and Applied Mathematics | 2005 | 14 Pages |
Abstract
In this paper, we extend to Banach spaces the result given by Gander in (Amer. Math. Monthly 92 (1985) 131) to obtain a characterization of Newton-like iterative process with R-order of convergence at least three. To do this, we consider the construction and the study of the semilocal convergence of a multiparametric family of iterative processes in Banach spaces for solving the nonlinear equation F(x)=0.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
M.A. Hernández, N. Romero,