The local and semilocal convergence analysis of new Newton-like iteration methods

Authors: VATAN KARAKAYA, KADRİ DOĞAN, YUNUS ATALAN, NOUR EL HOUDA BOUZARA

Abstract: The aim of this paper is to find new iterative Newton-like schemes inspired by the modified Newton iterative algorithm and prove that these iterations are faster than the existing ones in the literature. We further investigate their behavior and finally illustrate the results by numerical examples.

Keywords: Modified Newton algorithm, Picard S hybrid iteration, semilocal convergence, local convergence

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