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On the accessibility of Newton's method under a Hölder condition on the first derivative - MaRDI portal

On the accessibility of Newton's method under a Hölder condition on the first derivative (Q1736679)

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scientific article; zbMATH DE number 7042266
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On the accessibility of Newton's method under a Hölder condition on the first derivative
scientific article; zbMATH DE number 7042266

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    On the accessibility of Newton's method under a Hölder condition on the first derivative (English)
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    26 March 2019
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    Summary: We see how we can improve the accessibility of Newton's method for approximating a solution of a nonlinear equation in Banach spaces when a center Hölder condition on the first derivative is used to prove its semi-local convergence.
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    Newton's method
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    semi-local convergence
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    recurrence relations
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    domain of parameters
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    nonlinear system
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