A Modification of the Kantorovich Conditions for the Secant Method
ISSN: 1083-0464
Year of publication: 2001
Volume: 1
Pages: 13-21
Type: Article
More publications in: Southwest Journal of Pure and Applied Mathematics
Abstract
In this work we carry out a modification of the Kantorovich conditions for the semilocal convergence of the secant method. This modification generalizes the Lipschitz and Hölder continuity conditions. Besides, we apply the result obtained to approximate the solution of a nonlinear boundary value problem