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CASC
2009
Springer
130views Mathematics» more  CASC 2009»
15 years 10 months ago
Code Generation for Polynomial Multiplication
We discuss the family of “divide-and-conquer” algorithms for polynomial multiplication, that generalize Karatsuba’s algorithm. We give explicit versions of transposed and sho...
Ling Ding, Éric Schost
ISSAC
2009
Springer
172views Mathematics» more  ISSAC 2009»
15 years 10 months ago
Liouvillian solutions of irreducible linear difference equations
In this paper we give a new algorithm to compute Liouvillian solutions of linear difference equations. Compared to the prior algorithm by Hendriks and Singer, our main contributi...
Yongjae Cha, Mark van Hoeij
EUROGP
2010
Springer
330views Optimization» more  EUROGP 2010»
15 years 10 months ago
Bandit-Based Genetic Programming
We consider the validation of randomly generated patterns in a Monte-Carlo Tree Search program. Our bandit-based genetic programming (BGP) algorithm, with proved mathematical prope...
Jean-Baptiste Hoock, Olivier Teytaud
CDC
2008
IEEE
15 years 10 months ago
Optimal control for combination therapy in cancer
Abstract— A mathematical model for the scheduling of angiogenic inhibitors in combination with a killing agent is considered as an optimal control problem. Initial results on the...
Urszula Ledzewicz, Heinz Schättler, Alberto d...
ASCM
2007
Springer
328views Mathematics» more  ASCM 2007»
15 years 10 months ago
Basis-Independent Polynomial Division Algorithm Applied to Division in Lagrange and Bernstein Basis
Division algorithms for univariate polynomials represented with respect to Lagrange and Bernstein basis are developed. These algore obtained by abstracting from the classical polyn...
Manfred Minimair