An upper and a lower bound for the distance of a manifold to a nearby point (Q920586)
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scientific article; zbMATH DE number 4164041
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An upper and a lower bound for the distance of a manifold to a nearby point |
scientific article; zbMATH DE number 4164041 |
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An upper and a lower bound for the distance of a manifold to a nearby point (English)
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1990
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The author uses a generalization of the Newton-Kantorovich theorem for underdetermined systems in Hilbert spaces to give upper and lower bounds for the distance of a point, say 0, to a nearby manifold \(S=\{x\in X\mid f(x)=0\}\). An example is shown.
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Newton-Kantorovich theorem
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underdetermined systems
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Hilbert spaces
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upper and lower bounds
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distance
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