Finding the zeros of an analytic function (Q1106625)
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scientific article; zbMATH DE number 4062486
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Finding the zeros of an analytic function |
scientific article; zbMATH DE number 4062486 |
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Finding the zeros of an analytic function (English)
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1988
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The author describes a method for the computation of the zeros of a function f: \({\mathbb{R}}^ n\to {\mathbb{R}}^ n\). His main idea consists in solving the functional equation \(f(z(t))=(1-t)f(a),\) where z(t) denotes a path with \(z(0)=a\), via the initial value problem \(f'(z(t))\cdot \dot z(t)=-f(a),\) \(z(0)=a\). There is no numerical example.
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zeros of an analytic function
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functional equation
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initial value problem
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no numerical example
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