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» Isolating real roots of real polynomials
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TCS
2008
13 years 5 months ago
Real algebraic numbers and polynomial systems of small degree
We present exact and complete algorithms based on precomputed Sturm-Habicht sequences, discriminants and invariants, that classify, isolate with rational points and compare the re...
Ioannis Z. Emiris, Elias P. Tsigaridas
JUCS
2010
106views more  JUCS 2010»
13 years 3 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
JUCS
2007
88views more  JUCS 2007»
13 years 5 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
64views Education» more  CORR 2010»
13 years 5 months ago
On the Complexity of Real Root Isolation
Michael Sagraloff
CASC
2009
Springer
157views Mathematics» more  CASC 2009»
13 years 12 months ago
On the Complexity of Reliable Root Approximation
This work addresses the problem of computing a certified ǫ-approximation of all real roots of a square-free integer polynomial. We proof an upper bound for its bit complexity, b...
Michael Kerber