학술논문
Influence of symmetric first-order divided differences on Secant-like methods
Document Type
research-article
Source
Carpathian Journal of Mathematics, 2024 Jan 01. 40(1), 47-64.
Subject
Language
English
ISSN
15842851
18434401
18434401
Abstract
In this paper, by using symmetric first-order divided differences, we introduce a new family of Secant-like iterative methods with quadratic convergence. Afterthought, we analyze its semilocal and local behavior when the nonlinear operator F is not differentiable by imposing appropriate bounding conditions in each case. Theoretical results have also been tested by solving a problem which shows the applicability of our work.