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Influence of symmetric first-order divided differences on Secant-like methods.
- Source :
-
Carpathian Journal of Mathematics . 2024, Vol. 40 Issue 1, p47-64. 18p. - Publication Year :
- 2024
-
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. [ABSTRACT FROM AUTHOR]
- Subjects :
- *NONLINEAR operators
*PROBLEM solving
*ITERATIVE methods (Mathematics)
Subjects
Details
- Language :
- English
- ISSN :
- 15842851
- Volume :
- 40
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Carpathian Journal of Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 173505715
- Full Text :
- https://doi.org/10.37193/CJM.2024.01.05