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A note on the Halley method in Banach spaces - MaRDI portal

A note on the Halley method in Banach spaces (Q1308971)

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scientific article; zbMATH DE number 465539
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A note on the Halley method in Banach spaces
scientific article; zbMATH DE number 465539

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    A note on the Halley method in Banach spaces (English)
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    8 December 1993
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    For the solution of an equation \(P(x)=0\) involving a nonlinear operator mapping \(P\) on a Banach space, the authors consider an equivalent form of Halley's method and prove a semi-local convergence result under the usual Newton-Kantorovich hypothesis.
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    Banach space
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    Halley's method
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    semi-local convergence
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