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» Isolating real roots of real polynomials
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ISSAC
2009
Springer
158views Mathematics» more  ISSAC 2009»
13 years 11 months ago
Isolating real roots of real polynomials
Kurt Mehlhorn, Michael Sagraloff
ESA
2006
Springer
147views Algorithms» more  ESA 2006»
13 years 8 months 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
MICS
2007
100views more  MICS 2007»
13 years 4 months ago
A New Method for Real Root Isolation of Univariate Polynomials
A new algorithm for real root isolation of univariate polynomials is proposed, which is mainly based on exact interval arithmetic and bisection method. Although exact interval arit...
Ting Zhang, Bican Xia
TCS
2008
13 years 4 months ago
On the complexity of real root isolation using continued fractions
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
CORR
2010
Springer
111views Education» more  CORR 2010»
13 years 4 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