Optimal Fourth-Order Weerakoon–Fernando-Type Methods for Multiple Roots and Their Dynamics
Chand, Prem Bahadur
Chicharro, Francisco Israel (1)
Tipo de Ítem:article
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 and Fernando for simple roots. The dynamical behavior of these methods around multiple roots is studied using basin of attraction in complex plane. We also present numerical examples to confirm our theoretical results.
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