A heuristic method for certifying isolated zeros of polynomial systems (Q1634514)
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scientific article; zbMATH DE number 6994730
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A heuristic method for certifying isolated zeros of polynomial systems |
scientific article; zbMATH DE number 6994730 |
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A heuristic method for certifying isolated zeros of polynomial systems (English)
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18 December 2018
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By transforming the given over-determined system into a square one, the authors provide necessary and sufficient conditions to certify the simple roots of the over-determined system by certifying the simple roots of the square system. Based on their previous research, the authors propose a heuristic method for certifying not only the isolated singular zeros of polynomial systems, but also the multiplicity structures of the isolated singular zeros. Various numerical examples are presented.
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over-determined polynomial system
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isolated zeros
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minimum point
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sum of squares
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interval methods
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0.8966372
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0.89513016
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0.8853974
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0.8754162
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0.8741721
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0.87408936
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