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

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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… Click to show full 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: local semilocal; newton like; convergence analysis; newton; semilocal convergence; analysis new

Journal Title: Turkish Journal of Mathematics
Year Published: 2018

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