Kantorovich's type theorems for systems of equations with constant rank derivatives (Q935772)
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scientific article; zbMATH DE number 5309283
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Kantorovich's type theorems for systems of equations with constant rank derivatives |
scientific article; zbMATH DE number 5309283 |
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Kantorovich's type theorems for systems of equations with constant rank derivatives (English)
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8 August 2008
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The authors study the Gauss-Newton method for solving a nonlinear systems \(F(x)=0\), where \(F\) is a singular mapping from \(\mathbb{R}^n\) into \(\mathbb{R}^m\). Employing a center Lipschitz continuity condition, a convergence result of Kantorovich-type is shown. Examples are given for quadratic \(F\) with \(n=m=2\).
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Gauss-Newton method
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majorizing sequence
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semilocal convergence
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local convergence
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Lipschitz condition
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numerical examples
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nonlinear systems
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