Name: Semilocal Convergence for new Chebyshev-type iterative methods
Keywords: Semilocal convergence, Nonlinear equations, Divided differences, MATEMATICA APLICADA

descriptionPublicationkeyboard_double_arrow_right Conference object 01 Jan 2019 English Publisher:R. Company, J. C. Cortés, L. Jódar and E. López-Navarro

Authors: Kumar, Abhimanyu; Gupta, D.K.; Martínez Molada, Eulalia; Hueso, José L.; Cevallos, Fabricio;

handle: 10251/180536

Semilocal Convergence for new Chebyshev-type iterative methods

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Abstract

[EN] In this paper, the convergence of improved Chebyshev-Secant-type iterative methods are studied for solving nonlinear equations in Banach space settings. Its semilocal convergence is established using recurrence relations under weaker continuity conditions on first order divided differences. Convergence theorems are established for the existence-uniqueness of the solutions.

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Universitat Politècnica de València
Spain

Keywords

Semilocal convergence, Nonlinear equations, Divided differences, MATEMATICA APLICADA

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