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COCO
2007
Springer
106views Algorithms» more  COCO 2007»
13 years 11 months ago
The Complexity of Polynomials and Their Coefficient Functions
We study the link between the complexity of a polynomial and that of its coefficient functions. Valiant’s theory is a good setting for this, and we start by generalizing one of V...
Guillaume Malod
TCS
2008
13 years 5 months ago
Approximate GCDs of polynomials and sparse SOS relaxations
The problem of computing approximate GCDs of several polynomials with real or complex coefficients can be formulated as computing the minimal perturbation such that the perturbed ...
Bin Li, Jiawang Nie, Lihong Zhi
AISC
2004
Springer
13 years 8 months ago
Polynomial Interpretations with Negative Coefficients
Polynomial interpretations are a useful technique for proving termination of term rewrite systems. We show how polynomial interpretations with negative coefficients, like x - 1 for...
Nao Hirokawa, Aart Middeldorp
MOC
2000
94views more  MOC 2000»
13 years 4 months ago
Irreducibility testing over local fields
The purpose of this paper is to describe a method to determine whether a bivariate polynomial with rational coefficients is irreducible when regarded as an element in Q((x))[y], th...
P. G. Walsh
AISC
2006
Springer
13 years 8 months ago
An Algorithm for Computing the Complete Root Classification of a Parametric Polynomial
Abstract. The Complete Root Classification for a univariate polynomial with symbolic coefficients is the collection of all the possible cases of its root classification, together w...
Songxin Liang, David J. Jeffrey