Article ID Journal Published Year Pages File Type
4624237 Journal of Mathematical Analysis and Applications 2006 12 Pages PDF
Abstract

In this study we are concerned with the problem of approximating a locally unique solution of an operator equation in Banach space using the Secant method. The differentiability of the operator involved is not assumed. Using a flexible point-based approximation, we provide a local as well as a semilocal convergence analysis for the Secant method. Our results are justified by numerical examples that cannot be handled with earlier works.

Related Topics
Physical Sciences and Engineering Mathematics Analysis