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Design and Complex Dynamics of Potra–Pták-Type Optimal Methods for Solving Nonlinear Equations and Its Applications
(MDPIMathematics, 2019-10-11)
In this paper, using the idea of weight functions on the Potra–Pták method, an optimal fourth order method, a non optimal sixth order method, and a family of optimal eighth order methods are proposed. These methods are ...
Optimal Fourth-Order Weerakoon–Fernando-Type Methods for Multiple Roots and Their Dynamics
(Mediterranean Journal of Mathematics, 2019-04-16)
In this paper, we present optimal fourth-order methods for finding multiple roots of non-linear equations, where the multiplicity is known in advance. These methods are based on the third-order method given by Weerakoon ...