Zero-dimensional families of polynomial systems (Q2871263)
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scientific article; zbMATH DE number 6249043
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Zero-dimensional families of polynomial systems |
scientific article; zbMATH DE number 6249043 |
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22 January 2014
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algebraic family
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real zeroes
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condition number
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systems of polynomial equations
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Zero-dimensional families of polynomial systems (English)
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The paper is devoted to study systems of polynomial equations arising from mathematical models of practical problems. In this situation the coefficients are not precise, so it is important to study how small perturbations of them may influence the solutions. The main result consists of finding a set of generator of an ideal defining a zero-dimensional scheme, whose real zeros are more stable with respect to perturbations of the coefficients.
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