A unified approach to method for the simultaneous computation of all zeros of generalized polynomials (Q1098235)
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scientific article; zbMATH DE number 4037049
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A unified approach to method for the simultaneous computation of all zeros of generalized polynomials |
scientific article; zbMATH DE number 4037049 |
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A unified approach to method for the simultaneous computation of all zeros of generalized polynomials (English)
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1988
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We derive quadratically convergent methods for the simultaneous computation of all zeros of functions from a space satisfying a kind of Haar's condition. Our approach simplifies the convergence proofs for several methods from literature. It also produces a series of new methods, applicable to a larger class of generalized polynomials. Numerical examples are included.
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simultaneous computation of all zeros
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Haar's condition
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numerical examples
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Newton's method
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generalized polynomials
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quadratic convergence
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0.9168706
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0.91376734
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