• Publications
  • Influence
Resolvent Representation for Regular Differential Ideals
  • T. Cluzeau, E. Hubert
  • Mathematics, Computer Science
  • Applicable Algebra in Engineering, Communication…
  • 1 February 2003
TLDR
We show that the generic zeros of a differential ideal [A]:H∞A defined by a differential chain A are birationally equivalent to the general zos of a single regular differential polynomial. Expand
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Factoring and decomposing a class of linear functional systems
Abstract Within a constructive homological algebra approach, we study the factorization and decomposition problems for a class of linear functional (determined, over-determined, under-determined)Expand
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Computing Hypergeometric Solutions of Linear Recurrence Equations
  • T. Cluzeau, M. V. Hoeij
  • Mathematics, Computer Science
  • Applicable Algebra in Engineering, Communication…
  • 6 June 2006
TLDR
We describe a complete algorithm to compute the hypergeometric solutions of linear recurrence relations with rational function coefficients. Expand
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A modular algorithm for computing the exponential solutions of a linear differential operator
TLDR
We present a new algorithm for computing exponential solutions of differential operators with rational function coefficients that uses a combination of local and modular computations. Expand
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Frobenius Method for Computing Power Series Solutions of Linear Higher-Order Differential Systems
We consider the problem of computing regular formal solutions of systems of linear differential equations with analytic coefficients. The classical approach consists in reducing the system to anExpand
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On Algebraic Simplifications of Linear Functional Systems
In this paper, we show how to conjointly use module theory and constructive homological algebra to obtain general conditions for a matrix R of functional operators (e.g.,Expand
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Computing closed form solutions of integrable connections
TLDR
We present algorithms for computing rational and hyperexponential solutions of linear D-finite partial differential systems written as integrable connections by adapting existing algorithms handling ordinary linear differential systems. Expand
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Factorization of differential systems in characteristic p
  • T. Cluzeau
  • Mathematics, Computer Science
  • ISSAC '03
  • 3 August 2003
TLDR
We present an algorithm for factoring differential systems with coefficients in <b>F</b><inf><i>p</i></inf>(<i>z</i>). Expand
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  • 1
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Fast algorithms for polynomial solutions of linear differential equations
TLDR
We investigate polynomial solutions of homogeneous linear differential equations with coefficients that are polynomials with integer coefficients. Expand
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Algorithmique modulaire des équations différentielles linéaires
Les methodes modulaires conduisent a des algorithmes tres efficaces dans de nombreux domaines en calcul formel et notamment dans celui des equations algebriques. Le but de cette these est de montrerExpand
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