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» On sign conditions over real multivariate polynomials
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MICS
2007
100views more  MICS 2007»
13 years 5 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
CORR
2010
Springer
138views Education» more  CORR 2010»
13 years 5 months ago
Shallow Circuits with High-Powered Inputs
A polynomial identity testing algorithm must determine whether an input polynomial (given for instance by an arithmetic circuit) is identically equal to 0. In this paper, we show ...
Pascal Koiran
AISC
2008
Springer
13 years 7 months ago
Parametric Linear Arithmetic over Ordered Fields in Isabelle/HOL
We use higher-order logic to verify a quantifier elimination procedure for linear arithmetic over ordered fields, where the coefficients of variables are multivariate polynomials o...
Amine Chaieb
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
179views Education» more  CORR 2010»
13 years 3 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...