On a theorem of L.V. Kantorovich concerning Newton's method. (Q1811585)
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scientific article; zbMATH DE number 1929352
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On a theorem of L.V. Kantorovich concerning Newton's method. |
scientific article; zbMATH DE number 1929352 |
Statements
On a theorem of L.V. Kantorovich concerning Newton's method. (English)
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17 June 2003
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The author proves the local and semilocal convergence of the Newton method assuming the Fréchet differentiability only at a point. A numerical example shows the potentials of the new theorem.
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Newton's method
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Banach space
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Fréchet derivative
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Kantorovich's
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convergence theorem
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Local-semilocal convergence
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Radius of convergence
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