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CASC
2011
Springer
262views Mathematics» more  CASC 2011»
12 years 10 months ago
Practical Divide-and-Conquer Algorithms for Polynomial Arithmetic
We investigate two practical divide-and-conquer style algorithms for univariate polynomial arithmetic. First we revisit an algorithm originally described by Brent and Kung for comp...
William Hart, Andrew Novocin
ISSAC
2009
Springer
167views Mathematics» more  ISSAC 2009»
14 years 4 months ago
High order derivatives and decomposition of multivariate polynomials
In this paper, we present an improved method for decomposing multivariate polynomials. This problem, also known as the Functional Decomposition Problem (FDP) [17, 9, 27], is class...
Jean-Charles Faugère, Ludovic Perret
ECML
2004
Springer
14 years 3 months ago
Inducing Polynomial Equations for Regression
Regression methods aim at inducing models of numeric data. While most state-of-the-art machine learning methods for regression focus on inducing piecewise regression models (regres...
Ljupco Todorovski, Peter Ljubic, Saso Dzeroski
DM
2007
72views more  DM 2007»
13 years 10 months ago
Multicomplexes and polynomials with real zeros
We show that each polynomial a(z)=1+a1z+· · ·+adzd in N[z] having only real zeros is the f-polynomial of a multicomplex. It follows that a(z) is also the h-polynomial of a Cohe...
Jason Bell, Mark Skandera
CORR
1998
Springer
105views Education» more  CORR 1998»
13 years 9 months ago
Solving Degenerate Sparse Polynomial Systems Faster
Abstract. Consider a system F of n polynomial equations in n unknowns, over an algebraically closed field of arbitrary characteristic. We present a fast method to find a point in...
J. Maurice Rojas