Sciweavers

80 search results - page 2 / 16
» On the Complexity of Real Root Isolation
Sort
View
CASC
2009
Springer
157views Mathematics» more  CASC 2009»
15 years 4 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
78
Voted
ISSAC
2009
Springer
158views Mathematics» more  ISSAC 2009»
15 years 4 months ago
Isolating real roots of real polynomials
Kurt Mehlhorn, Michael Sagraloff
CORR
2011
Springer
158views Education» more  CORR 2011»
14 years 5 months ago
SqFreeEVAL: An (almost) optimal real-root isolation algorithm
Let f be a univariate polynomial with real coefficients, f ∈ R[X]. Subdivision algorithms based on algebraic techniques (e.g., Sturm or Descartes methods) are widely used for is...
Michael Burr, Felix Krahmer
MICS
2007
100views more  MICS 2007»
14 years 9 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
71
Voted
DAGSTUHL
2008
14 years 11 months ago
Real Algebraic Numbers: Complexity Analysis and Experimentation
Abstract. We present algorithmic, complexity and implementation results concerning real root isolation of a polynomial of degree d, with integer coefficients of bit size , using S...
Ioannis Z. Emiris, Bernard Mourrain, Elias P. Tsig...