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    The local and semilocal convergence analysis of new Newton-like iteration methods
    (SCIENTIFIC TECHNICAL RESEARCH COUNCIL TURKEY-TUBITAK, 2018) Karakaya, Vatan; Doğan, Kadri; Atalan, Yunus; Bouzara, Nour El Houda
    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.