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using majorizing sequences for the semi-local convergence of a high-order and multipoint iterative method along with stability analysis
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نویسنده
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moccari mandana ,lotfi taher
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منبع
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journal of mathematical extension - 2021 - دوره : 15 - شماره : 2 - صفحه:1 -32
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چکیده
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This paper deals with the study of relaxed conditions for semi-local convergence for a general iterative method, k-step newton’s method, using majorizing sequences. dynamical behavior of the mentioned method is also analyzed via julia set and basins of attraction. numerical examples of nonlinear systems of equations will be examined to verify the given theory.
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کلیدواژه
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majorizing sequence ,high order of convergence .semi-local convergence ,julia set ,basin of attraction
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آدرس
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hamedan branch, islamic azad university, faculty of science, department of statistics, iran, hamedan branch, islamic azad university, faculty of science, department of statistics, iran
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پست الکترونیکی
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lotfitaher@yahoo.com
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Authors
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