Relaxed secant-type methods (Q2921889)

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scientific article; zbMATH DE number 6355107
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Relaxed secant-type methods
scientific article; zbMATH DE number 6355107

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    14 October 2014
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    secant-type methos
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    Banach space
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    majorizing sequence
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    divided difference
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    local convergence
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    semilocal convergence
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    nonlinear operator equation
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    Relaxed secant-type methods (English)
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    The authors present a unified local and semilocal convergence analysis for secant-type methods in order to approximate a locally unique solution of a nonlinear operator equation in a Banach space setting. Under the same computational cost, using both Lipschtiz and center Lipschitz conditions, the new covergence criterion is weak.
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