A derivative-free algorithm for computing zeros of analytic functions (Q1304972)
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scientific article; zbMATH DE number 1340519
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A derivative-free algorithm for computing zeros of analytic functions |
scientific article; zbMATH DE number 1340519 |
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A derivative-free algorithm for computing zeros of analytic functions (English)
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10 July 2000
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The authors present an algorithm for computing all the zeros of analytic functions in a simply connected region in the complex plane. The algorithm requires only \(f\) and not its derivative \(f'\). The algorithm works for both simple and multiple zeros. The approximation for the zeros of \(f\) are accurate without using the initial approximation.
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zeros of analytic functions
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quadrature method
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derivative-free approach
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orthogonal polynomials
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algorithm
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multiple zeros
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