Himanshu Kumar Rajput

Central University of Jharkhand · Centre for Applied Mathematics

In this paper, we study the local and semilocal convergence analysis of two step Kurchatov method by using recurrence relations with first order divided difference operators satisfies the ω-continuity condition. Larger radii of convergence balls are provided as compared to some earlier studies. The results are tested on numerical examples for nonli...

The purpose of this paper to establish the semilocal convergence analysis of three-step Kurchatov method under weaker conditions in Banach spaces. We construct the recurrence relations under the assumption that involved first-order divided difference operators satisfy the $$\omega $$ ω condition. Theorems are given for the existence-uniqueness ball...

In this article we present a new semilocal convergence analysis for the two step Kurchatov method by using recurrence relations under Lipschitz type conditions on first order divided difference operator. The main advantage of this iterative method is that it does not require to evaluate any Fréchet derivative but it includes extra parameters in the...

In this paper we find the order of convergence and semilocal convergence of three step Kurchatov-type method. We also analyze the efficiency index and computational efficiency of this method. The semilocal convergence analysis of method has been established by using recurrence relations under the assumption of first order divided difference operato...