Localization and perturbations of roots to systems of polynomial equations (Q456547)

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scientific article; zbMATH DE number 6093848
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Localization and perturbations of roots to systems of polynomial equations
scientific article; zbMATH DE number 6093848

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    Localization and perturbations of roots to systems of polynomial equations (English)
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    16 October 2012
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    Summary: We establish estimates for the sums of absolute values of solutions of a zero-dimensional polynomial system. By these estimates, inequalities for the counting function of the roots are derived. In addition, bounds for the roots of perturbed systems are suggested.
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    zero-dimensional polynomial system
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    counting function of the roots
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    bounds for the roots
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