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Local and Semi-local convergence for Chebyshev two point like methods with applications in different fields

Autor: 
Argyros, Christopher I.
;
Argyros, Michael I
;
Argyros, Ioannis K
;
Magreñán, Á. Alberto
;
Sarría, Íñigo
Fecha: 
2023
Palabra clave: 
Revista / editorial: 
Journal of Computational and Applied Mathematics
Citación: 
Argyros, C., Argyros, M. I., Argyros, I. K., Magreñán, Á. A., & Sarría, Í. (2023). Local and Semi-local convergence for Chebyshev two point like methods with applications in different fields. Journal of Computational and Applied Mathematics, 426, 115072.
Tipo de Ítem: 
Articulo Revista Indexada
URI: 
https://reunir.unir.net/handle/123456789/15120
DOI: 
https://doi.org/10.1016/j.cam.2023.115072
Dirección web: 
https://www.sciencedirect.com/science/article/abs/pii/S037704272300016X?via%3Dihub
Resumen:
The convergence is developed for a large class of Chebyshev-two point-like methods for solving Banach space valued equations. Both the local as well as the semi-local convergence is provided for these methods under general conditions allowing the solution of nondifferentiable equations. Specializations of our methods improve earlier results. Numerical experiments display the superiority of our results.
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