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A Newton-Kantorovich convergence theorem for the inverse-free Jarratt method in Banach space - MaRDI portal

A Newton-Kantorovich convergence theorem for the inverse-free Jarratt method in Banach space (Q2506320)

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A Newton-Kantorovich convergence theorem for the inverse-free Jarratt method in Banach space
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    A Newton-Kantorovich convergence theorem for the inverse-free Jarratt method in Banach space (English)
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    28 September 2006
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    Under weak conditions, we establish a Newton-Kantorovich type convergence theorem of the inverse-free Jarratt method in Banach space which is used to solve a nonlinear operator equation. Finally, some examples are provided to show the applicability of our theorem.
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    Banach space
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    nonlinear operator equation
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    Newton-Kantorovich theorem
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    numerical examples
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    convergence
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    inverse-free Jarratt method
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