The secant method and fixed points of nonlinear operators (Q1107272)
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scientific article; zbMATH DE number 4064378
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The secant method and fixed points of nonlinear operators |
scientific article; zbMATH DE number 4064378 |
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The secant method and fixed points of nonlinear operators (English)
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1988
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The results in this paper answer the following question: given that a mapping has a fixed point, when is it true that the secant iterates produce a sequence of nearby points which converge to the fixed point? We assume only that the nonlinear operator has a Hölder continuous Fréchet-derivative at the fixed point.
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secant method
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convergence
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fixed point
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Hölder continuous Fréchet- derivative
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0.9086784
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0.90557206
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0.9038857
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