[EN] In this work, we performed an study about the domain of existence and uniqueness for an efficient fifth order iterative method for solving nonlinear problems treated in their infinite dimensional form. The hypotheses ...
In this work we introduce a new form of setting the general assumptions for the local convergence studies of iterative methods in Banach spaces that allows us to improve the convergence domains. Specifically a local ...
Singh, Sukhjit; Gupta, D. K.; Badoni, Rakesh P.; Martínez Molada, Eulalia; Hueso Pagoaga, José Luís(Springer-Verlag, 2017)
[EN] The local convergence analysis of a parameter based iteration with Hölder continuous first derivative is studied for finding solutions of nonlinear equations in Banach spaces. It generalizes the local convergence ...
Gupta, Dharmendra Kumar; Martínez Molada, Eulalia; Singh, Sukhjit; Hueso, Jose Luis; Srivastava, Shwetabh; Kumar, Abhimanyu(Walter de Gruyter GmbH, 2021-06-01)
[EN] The semilocal convergence using recurrence relations of a family of iterations for solving nonlinear equations in Banach spaces is established. It is done under the assumption that the second order Frechet derivative ...
The semilocal and local convergence in Banach spaces is described for a fifth order iteration for the solutions of nonlinear equations when the Frechet derivative satisfies the Holder condition. The Holder condition ...
[EN] Semilocal convergence for an iteration of order five for solving nonlinear equations in Banach spaces is established under second-order Fr,chet derivative satisfying the Lipschitz condition. It is done by deriving a ...