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- Title
Influence of symmetric first-order divided differences on Secant-like methods.
- Authors
HERNÁNDEZ-VERÓN, M. A.; HUESO, JOSÉ L.; MARTÍNEZ, EULALIA
- 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.
- Subjects
NONLINEAR operators; PROBLEM solving; ITERATIVE methods (Mathematics)
- Publication
Carpathian Journal of Mathematics, 2024, Vol 40, Issue 1, p47
- ISSN
1584-2851
- Publication type
Article
- DOI
10.37193/CJM.2024.01.05