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Preprints, Working Papers, ... Year : 2014

Bounds for the Condition Number for Polynomials with Integer Coefficients

Abstract

We consider the problem of bounding the condition number of the roots of univariate polynomials and polynomial systems, when the input polynomials have integer coefficients. We also introduce an aggregate version of the condition numbers and we prove bounds of the same order of magnitude as in the case of the condition number of a single root
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Dates and versions

hal-01098981 , version 1 (30-12-2014)

Identifiers

  • HAL Id : hal-01098981 , version 1

Cite

Aaron Herman, Elias Tsigaridas. Bounds for the Condition Number for Polynomials with Integer Coefficients. 2014. ⟨hal-01098981⟩
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