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Factoring Systems of Linear Functional Systems Using Eigenrings

Moulay A. Barkatou
Ilias S Kotsireas & Eugene V Zima. COMPUTER ALGEBRA 2006, Latest Advances in Symbolic Algorithms, World Scientific, pp.22-42, 2007
Chapitre d'ouvrage hal-00280783v1

On Solution Spaces of Products of Linear Differential or Difference Operators

Sergei Abramov , Moulay A. Barkatou
ACM Communications in Computer Algebra, 2014, 48 (3/4), pp.155-165. ⟨10.1145/2733693.2733719⟩
Article dans une revue hal-01306194v1

Removing Apparent Singularities of Systems of Linear Differential Equations with Rational Function Coefficients

Moulay A. Barkatou , Suzy S. Maddah
ISSAC 2015 - International Symposium on Symbolic and Algebraic Computation, Jul 2015, Bath, United Kingdom. pp.53-60, ⟨10.1145/2755996.2756668⟩
Communication dans un congrès hal-01306230v1

A Monomial-by-Monomial Method for Computing Regular Solutions of Systems of Pseudo-Linear Equations

Moulay A. Barkatou , Gary Broughton , Eckhard Pfluegel
Mathematics in Computer Science, 2010, 4 (2-3), pp.267-288
Article dans une revue hal-00601450v1

Algorithms for regular solutions of higher-order linear differential systems

Moulay A. Barkatou , Thomas Cluzeau , Carole El Bacha
ISSAC 2009, Jul 2009, France. pp.7-14, ⟨10.1145/1576702.1576707⟩
Communication dans un congrès hal-00578544v1
Image document

Naissance de la fédération MARGAUx (FR-2045) (MAthématiques de Recherche en réGion nouvelle-AqUitaine)

My Abdelfattah Barkatou , Samuel Boissière , Fabien Caubet , Rafik Imekraz , Raphaël Loubère
Matapli, 2021
Article dans une revue hal-03358609v1
Image document

Formal Solutions of Singularly Perturbed Linear Differential Systems

Suzy Maddah , Moulay A. Barkatou
2017
Pré-publication, Document de travail hal-01417265v1

Locally nilpotent derivations with a PID ring of constants

Moulay A. Barkatou , M'Hammed El Kahoui
Proceedings of the American Mathematical Society, 2012, 140 (1), pp.119-128. ⟨10.1090/S0002-9939-2011-10962-6⟩
Article dans une revue hal-00685024v1

Direct algebraic methods for solving systems of linear differential equations

Moulay A. Barkatou
Algebraic Theory of Differential Equations, Jul 2006, Edinburgh, United Kingdom
Communication dans un congrès hal-00116037v1

Factoring Partial Differential Systems in Positive Characteristic

Moulay A. Barkatou , Jacques-Arthur Weil , Thomas Cluzeau
D. Wang. Differential Equations with Symbolic Computation, Birkhauser, pp.1-27, 2005
Chapitre d'ouvrage hal-00068365v1

Frobenius Method for Computing Power Series Solutions of Linear Higher-Order Differential Systems

Moulay A. Barkatou , Thomas Cluzeau , Carole El Bacha
Proceedings of Mathematical Theory of Networks and Systems (MTNS) 2010, Budapest (Hungary), Jul 2010, Budapest, Hungary. pp.Inconnu
Communication dans un congrès hal-00633268v1

Simple forms of higher-order linear differential systems and their applications in computing regular solutions

Moulay A. Barkatou , Thomas Cluzeau , Carole El Bacha
Journal of Symbolic Computation, 2011, 46 (6), pp.633-658. ⟨10.1016/j.jsc.2011.01.001⟩
Article dans une revue hal-00602134v1

On m-Interlacing Solutions of Linear Difference Equations

Sergei Abramov , Moulay A. Barkatou , D. Khmelnov
Workshop on Computer Algebra in Scientific Computing, Sep 2009, Kobe, Japan. pp.1-17
Communication dans un congrès hal-00578526v1

Formal solutions of completely integrable Pfaffian systems with normal crossings

Moulay A. Barkatou , Maximilian Jaroschek , Suzy Maddah
Journal of Symbolic Computation, 2017, 81, pp.41 - 68. ⟨10.1016/j.jsc.2016.11.018⟩
Article dans une revue hal-01710138v1

On the Dimension of Solution Spaces of Full Rank Linear Differential Systems

Moulay A. Barkatou , Sergei Abramov
15th International Workshop, CASC 2013, Sep 2013, Berlin, Germany. pp.1-9, ⟨10.1007/978-3-319-02297-0_1⟩
Communication dans un congrès istex hal-00913474v1

On Super-Irreducible Forms of Linear Differential Systems with Rational Functions

Moulay A. Barkatou
Journal of Computational and Applied Mathematics, 2004, 162, pp.1-15
Article dans une revue hal-00068317v1

Higher-Order Linear Differential Systems with Truncated Coefficients

Sergei Abramov , Moulay A. Barkatou , Eckhard Pfluegel
CASC 2011, Sep 2011, Kassel, Germany. pp.10-24, ⟨10.1007/978-3-642-23568-9_2⟩
Communication dans un congrès hal-00685032v1

Removing Apparent Singularities of Systems of Linear Differential Equations with Rational Function Coefficients

Moulay A. Barkatou
Second Workshop Differential Equations by Algebraic Methods, (DEAM2), Feb 2011, Linz, Austria
Communication dans un congrès hal-00685035v1

On simultaneous row and column reduction of higher-order linear differential systems

Moulay A. Barkatou , Carole El Bacha , George Labahn , Eckhard Pfluegel
Journal of Symbolic Computation, 2013, 49, pp.45-64. ⟨10.1016/j.jsc.2011.12.016⟩
Article dans une revue hal-00913462v1

D'Alembertian Series Solutions at Ordinary Points of LODE with Polynomial Coefficients

Moulay A. Barkatou , Sergei Abramov
Journal of Symbolic Computation, 2009, 44 (1), pp.48-59. ⟨10.1016/j.jsc.2008.04.004⟩
Article dans une revue hal-00320412v1

Factorization and Hypergeometric Solutions of Linear Difference Equations

Moulay A. Barkatou
Seminar at the Key Laboratory of Mathematics Mechanization, Jun 2008, Beijing, China
Communication dans un congrès hal-00320417v1

Formal Solutions of Linear Differential Systems with Essential Singularities in their Coefficients

Moulay A. Barkatou , Thomas Cluzeau , Achref Jalouli
ISSAC 2015 - International Symposium on Symbolic and Algebraic Computation, Jul 2015, Bath, United Kingdom. pp.45-52, ⟨10.1145/2755996.2756669⟩
Communication dans un congrès hal-01306235v1

Exponential Parts of Singular Differential Equations

Moulay A. Barkatou
Waterloo Workshop on Computer Algebra. A Conference in Honor of Sergei Abramov, Apr 2006, Waterloo, Ontario, Canada
Communication dans un congrès hal-00116042v1

Simultaneously row- and column-reduced higher-order linear differential systems.

Moulay A. Barkatou , Carole El Bacha , Eckhard Pfluegel
ISSAC 2010, 35th International Symposium on Symbolic and Algebraic Computation, Jul 2010, Munich, Germany. pp.45-52, ⟨10.1145/1837934.1837949⟩
Communication dans un congrès hal-00602128v1

Symbolic methods for solving systems of linear ordinary differential equations

Moulay A. Barkatou
ISSAC 2010, 35th International Symposium on Symbolic and Algebraic Computation, Jul 2010, Munich, Germany. pp.7-8, ⟨10.1145/1837934.1837940⟩
Communication dans un congrès hal-00602132v1

Rational Solutions of Linear Differential Systems

Moulay A. Barkatou
Waterloo Workshop on Computer Algebra, Apr 2006, Waterloo (Ontario), Canada
Communication dans un congrès hal-00578556v1

On the Formal Solutions of Linear Systems of Differential Equations near a Singular Point

Moulay A. Barkatou
11-TH WORKSHOP ON COMPUTER ALGEBRA, May 2007, Dubna, Moscou, Russia
Communication dans un congrès hal-00578567v1

A New Approach for Computing Regular Solutions of Linear Difference Systems

Moulay A. Barkatou , Thomas Cluzeau , Carole El Bacha
17th International Workshop, CASC 2015, Sep 2015, Aachen, Germany. pp.72-86
Communication dans un congrès hal-01324174v1

Computable Infinite Power Series in the Role of Coefficients of Linear Differential Systems

Sergei Abramov , Moulay A. Barkatou
16th International Workshop on Computer Algebra in Scientific Computing CASC 2014, Sep 2014, Warsaw, Poland. pp.1-12
Communication dans un congrès hal-01324198v1

PseudoLinearSystems: A Maple Package for Studying Systems of Pseudo-Linear Equations

Moulay A. Barkatou , Thomas Cluzeau , Ali El Hajj
Maple Conference, Oct 2019, Waterloo, Canada
Communication dans un congrès hal-02436972v1