Kantorovich's theorem on Newton's method in Riemannian manifolds (Q1599205)
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scientific article; zbMATH DE number 1750228
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Kantorovich's theorem on Newton's method in Riemannian manifolds |
scientific article; zbMATH DE number 1750228 |
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Kantorovich's theorem on Newton's method in Riemannian manifolds (English)
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8 January 2003
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This paper is concerned with the problem of finding a singularity of a vector field in a Riemannian manifold. The authors present an extension of Kantorovich's theorem on Newton's method for this problem in finite dimensional Riemannian manifolds.
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Newton's method
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Kantorovich's theorem
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Riemannian manifolds
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singularity
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vectorial field
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