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» On the Complexity of Real Root Isolation
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104
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TCS
2008
15 years 10 days 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
118
Voted
CORR
2010
Springer
111views Education» more  CORR 2010»
15 years 15 days 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
46
Voted
CORR
2010
Springer
64views Education» more  CORR 2010»
15 years 15 days ago
On the Complexity of Real Root Isolation
Michael Sagraloff
119
Voted
ESA
2006
Springer
147views Algorithms» more  ESA 2006»
15 years 4 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
JUCS
2010
106views more  JUCS 2010»
14 years 11 months ago
A Heuristic Approach to Positive Root Isolation for Multiple Power Sums
: Given a multiple power sum (extending polynomial’s exponents to real numbers), the positive root isolation problem is to find a list of disjoint intervals, satisfying that the...
Ming Xu, Chuandong Mu, Zhenbing Zeng, Zhi-bin Li