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Convergence analysis of a one-step intermediate Newton iterative scheme

Livinus U. Uko, Raúl Eduardo Velásquez Ossa

Abstract

We study a one-step intermediate_method for the iterative computation of a zero of the sum of two nonlinear operators. The proposed method contains Newton scheme and the Modified Newton scheme as special cases and therefore provides a unified setting for the study of both methods.

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Key concepts: Newton's method, Convergence (economics), Scheme (mathematics), Iterative method, Mathematics, Computation, Steffensen's method, Applied mathematics