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» Polynomial Interpretations and the Complexity of Algorithms
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CORR
2008
Springer
57views Education» more  CORR 2008»
14 years 11 months ago
Fast Conversion Algorithms for Orthogonal Polynomials
We discuss efficient conversion algorithms for orthogonal polynomials. We describe a known conversion algorithm from an arbitrary orthogonal basis to the monomial basis, and deduc...
Alin Bostan, Bruno Salvy, Éric Schost
97
Voted
DCC
2008
IEEE
15 years 11 months ago
Probabilistic algorithm for finding roots of linearized polynomials
A probabilistic algorithm is presented for finding a basis of the root space of a linearized polynomial L(x) = t i=0 Lixqi over Fqn . The expected time complexity of the presented ...
Vitaly Skachek, Ron M. Roth
73
Voted
AISC
2006
Springer
15 years 3 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
103
Voted
ISSAC
2009
Springer
147views Mathematics» more  ISSAC 2009»
15 years 6 months ago
Fast algorithms for differential equations in positive characteristic
We address complexity issues for linear differential equations in characteristic p > 0: resolution and computation of the p-curvature. For these tasks, our main focus is on al...
Alin Bostan, Éric Schost
CORR
2011
Springer
192views Education» more  CORR 2011»
14 years 6 months ago
On cooperative patrolling: optimal trajectories, complexity analysis, and approximation algorithms
—The subject of this work is the patrolling of an environment with the aid of a team of autonomous agents. We consider both the design of open-loop trajectories with optimal prop...
Fabio Pasqualetti, Antonio Franchi, Francesco Bull...