Ioannis K. Argyros, Santhosh George, Improved convergence analysis for King-Werner-like methods free of derivatives using restricted convergence, Vol. 2017 (2017), Article ID 1, pp. 1-11

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DOI: 10.23952/cot.2017.1

Received July 26, 2016; Accepted October 13, 2016; Published January 1, 2017

Abstract. We present a semilocal and local convergence analysis of some efficient King-Werner-like methods of order $1+\sqrt{2}$ free of derivatives in a Banach space setting. We use our idea of restricted domains, where the iterates lie leading to smaller Lipschitz constants yielding in turn to a more precise local as well as semilocal convergence analysis than in earlier studies. Numerical examples are presented to illustrate the theoretical results.

How to Cite this Article:

Ioannis K. Argyros, Santhosh George, Improved convergence analysis for King-Werner-like methods free of derivatives using restricted convergence, Communications in Optimization Theory, Vol. 2017 (2017), Article ID 1, pp. 1-11.