Ball convergence for an eighth order efficient method under weak conditions in Banach spaces (Q1689267)

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scientific article; zbMATH DE number 6825228
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Ball convergence for an eighth order efficient method under weak conditions in Banach spaces
scientific article; zbMATH DE number 6825228

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    Ball convergence for an eighth order efficient method under weak conditions in Banach spaces (English)
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    12 January 2018
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    The paper is about the convergence of an eighth-order iterative method for approximating a nonlinear equation in Banach spaces, based on some conditions on the first derivative. The analysis includes a radius of convergence, uniqueness ball and computable error bounds.
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    Newton method
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    local convergence
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    nonlinear operator equation
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    Banach space
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    error bound
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