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Developments on the convergence of some iterative methods
(Optimization and Dynamics with Their Applications: Essays in Honor of Ferenc Szidarovszky, 2017)
Iterative methods, play an important role in computational sciences. In this chapter, we present new semilocal and local convergence results for the Newton-Kantorovich method. These new results extend the applicability of ...
Local convergence and the dynamics of a family of high convergence order method for solving nonlinear equations
(AIP Conference Proceedings, 2018)
We present the local convergence analysis and the study of the dynamics of a higher order iterative method in order to approximate a locally unique solution of multiplicity greater than one of a nonlinear equation. The ...