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» Bounds for Real Roots and Applications to Orthogonal Polynom...
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JUCS
2007
88views more  JUCS 2007»
13 years 8 months ago
A Comparison of Various Methods for Computing Bounds for Positive Roots of Polynomials
Abstract: The recent interest in isolating real roots of polynomials has revived interest in computing sharp upper bounds on the values of the positive roots of polynomials. Until ...
Alkiviadis G. Akritas, Panagiotis S. Vigklas
CORR
2010
Springer
179views Education» more  CORR 2010»
13 years 5 months ago
The DMM bound: multivariate (aggregate) separation bounds
In this paper we derive aggregate separation bounds, named after Davenport-MahlerMignotte (DMM), on the isolated roots of polynomial systems, specifically on the minimum distance ...
Ioannis Z. Emiris, Bernard Mourrain, Elias P. Tsig...
CORR
2010
Springer
111views Education» more  CORR 2010»
13 years 8 months ago
Improved complexity bounds for real root isolation using Continued Fractions
We consider the problem of isolating the real roots of a square-free polynomial with integer coefficients using (variants of) the continued fraction algorithm (CF). We introduce a...
Elias P. Tsigaridas
ESA
2006
Springer
147views Algorithms» more  ESA 2006»
14 years 2 days ago
Univariate Polynomial Real Root Isolation: Continued Fractions Revisited
We present algorithmic, complexity and implementation results concerning real root isolation of integer univariate polynomials using the continued fraction expansion of real algeb...
Elias P. Tsigaridas, Ioannis Z. Emiris