The secant method for nondifferentiable operators (Q1861778)
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scientific article; zbMATH DE number 1878865
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The secant method for nondifferentiable operators |
scientific article; zbMATH DE number 1878865 |
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The secant method for nondifferentiable operators (English)
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10 March 2003
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For a nonlinear operator \(F\) between Banach spaces the authors prove a semilocal convergence result for secant methods involving a general divided difference operator that satisfies \(\|[x,y;F] - [v,w;F] \|\leq \omega(\|x-v \|, \|y-w \|)\) with a continuous, nondecreasing function \(\omega\) in its two arguments. The condition does not require \(F\) to be differentiable.
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secant method
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Banach space
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nondifferentiable operator
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nonlinear operator
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semilocal convergence
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divided difference operator
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