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A new fourth-order family for solving nonlinear problems and its dynamics
(Journal of Mathematical Chemistry, 2015-03)
In this manuscript, a new parametric class of iterative methods for solving nonlinear systems of equations is proposed. Its fourth-order of convergence is proved and a dynamical analysis on low-degree polynomials is made ...
On the convergence of a damped Newton-like method with modified right hand side vector
(Applied Mathematics and Computation, 2015-09)
We present a convergence analysis for a damped Newton like method with modified right-hand side vector in order to approximate a locally unique solution of a nonlinear equation in a Banach spaces setting. In the special ...
On the convergence of a Damped Secant method with modified right-hand side vector
(Applied Mathematics and Computation, 2015-02)
We present a convergence analysis for a Damped Secant method with modified right-hand side vector in order to approximate a locally unique solution of a nonlinear equation in a Banach spaces setting. In the special case ...