Newton's method for analytic systems of equations with constant rank derivatives (Q1599200)
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scientific article; zbMATH DE number 1750223
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Newton's method for analytic systems of equations with constant rank derivatives |
scientific article; zbMATH DE number 1750223 |
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Newton's method for analytic systems of equations with constant rank derivatives (English)
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8 January 2003
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The authors investigate the convergence properties of Newton's sequence for systems of analytic equations with constant rank derivatives. Their main result is an alpha-theorem which ensures the convergence of Newton's sequence to a least-square solution of this system.
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Newton's method
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system of nonlinear equations
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Banach spaces
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least-square solution
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constant rank derivatives
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convergence
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