CMMSE2017: On two classes of fourth- and seventh-order vectorial methods with stable behavior

Abstract

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On the local convergence of Kung-Traub's two-point method and its dynamics

“…First, we recall some complex dynamical concepts that we use in this paper. For more information about these concepts, see [3], [4], [19], [21], [22], [20], [29], [38], [40], [46]. Let the nonlinear function F is defined on the Riemann sphere C ∞ = C ∪ {∞}.…”