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Weak singularities and the continuous Newton method - MaRDI portal

Weak singularities and the continuous Newton method (Q1304692)

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scientific article; zbMATH DE number 1340182
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Weak singularities and the continuous Newton method
scientific article; zbMATH DE number 1340182

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    Weak singularities and the continuous Newton method (English)
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    22 September 1999
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    This paper discusses the determination of singular zeros of a given nonlinear function \(f\) in finite dimensions. Necessary and sufficient conditions are given that the Newton field \(df^{-1}f\) be smoothly extended to the singular points, and the singular zeros thus determined in a way similar to that for regular zeros.
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    weak singularities
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    Newton's method
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    singular zeros
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    singular points
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