Ball convergence theorems for eighth-order variants of Newton's method under weak conditions (Q889497): Difference between revisions

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Ball convergence theorems for eighth-order variants of Newton's method under weak conditions
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    Ball convergence theorems for eighth-order variants of Newton's method under weak conditions (English)
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    6 November 2015
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    New local convergence analysis for an eighth-order method for solving equations based on contractive techniques and Lipschitz constants under hypotheses only on the first derivative is presented. A computable radius of convergence as well as error estimates are provided.
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    ball convergence
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    Newton method
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    Lipschitz constants
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    error estimates
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    error bounds
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    local convergence
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    eighth-order method
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