Moulay A. Barkatou

65 papers B 30Journal 32Unranked 2
YearRankTypeTitle / Venue / Authors
2026 J jnl
Hypergeometric solutions of linear difference systems.
J. Symb. Comput.
Moulay A. Barkatou, Mark van Hoeij, Johannes Middeke, Yi Zhou
2024 J jnl
Gr{ö}bner bases over polytopal affinoid algebras.
CoRR
Moulay A. Barkatou, Lucas Legrand, Tristan Vaccon
2024 B conf
Gröbner Bases Over Polytopal Affinoid Algebras.
ISSAC
Moulay A. Barkatou, Lucas Legrand, Tristan Vaccon
2024 J jnl
Hypergeometric Solutions of Linear Difference Systems.
CoRR
Moulay A. Barkatou, Mark van Hoeij, Johannes Middeke, Yi Zhou
2024 J jnl
On the computation of rational solutions of linear integro-differential equations with polynomial coefficients.
J. Symb. Comput.
Moulay A. Barkatou, Thomas Cluzeau
2021 J jnl
Formal reduction of singular linear differential systems using eigenrings: A refined approach.
J. Symb. Comput.
Moulay A. Barkatou, Joelle Saadé, Jacques-Arthur Weil
2021 B conf
On Rational Solutions of Pseudo-linear Systems.
CASC
Moulay A. Barkatou, Thomas Cluzeau, Ali El-Hajj
2021 J jnl
Removing apparent singularities of linear difference systems.
J. Symb. Comput.
Moulay A. Barkatou, Maximilian Jaroschek
2020 J jnl
A Family of Denominator Bounds for First Order Linear Recurrence Systems.
CoRR
Mark van Hoeij, Moulay A. Barkatou, Johannes Middeke
2019 J jnl
Formal solutions of singularly-perturbed linear differential systems.
J. Symb. Comput.
Moulay A. Barkatou, Suzy S. Maddah
2019 — conf
PseudoLinearSystems - A Maple Package for Studying Systems of Pseudo-Linear Equations.
MC
Moulay A. Barkatou, Thomas Cluzeau, Ali El-Hajj
2019 J jnl
Row reduction process for matrices of scalar operators: storing the intermediate results of row transformation.
ACM Commun. Comput. Algebra
Sergei A. Abramov, Moulay A. Barkatou
2019 B conf
Simple Forms and Rational Solutions of Pseudo-Linear Systems.
ISSAC
Moulay A. Barkatou, Thomas Cluzeau, Ali El-Hajj
2018 B conf
A New Approach for Formal Reduction of Singular Linear Differential Systems Using Eigenrings.
ISSAC
Moulay A. Barkatou, Joelle Saadé, Jacques-Arthur Weil
2018 B conf
Desingularization of First Order Linear Difference Systems with Rational Function Coefficients.
ISSAC
Moulay A. Barkatou, Maximilian Jaroschek
2018 J jnl
Desingularization of First Order Linear Difference Systems with Rational Function Coefficients.
CoRR
Moulay A. Barkatou, Maximilian Jaroschek
2017 J jnl
A contour integral approach to the computation of invariant pairs.
Theor. Comput. Sci.
Moulay A. Barkatou, Paola Boito, Esteban Segura Ugalde
2017 J jnl
Formal solutions of completely integrable Pfaffian systems with normal crossings.
J. Symb. Comput.
Moulay A. Barkatou, Maximilian Jaroschek, Suzy S. Maddah
2016 B conf
Computing the Lie Algebra of the Differential Galois Group of a Linear Differential System.
ISSAC
Moulay A. Barkatou, Thomas Cluzeau, Jacques-Arthur Weil, Lucia Di Vizio
2016 J jnl
Special issue on computational aspects of differential/difference algebra and integral operators.
Adv. Appl. Math.
Moulay A. Barkatou, Thomas Cluzeau, Alexey Ovchinnikov, Georg Regensburger, Markus Rosenkranz
2015 B conf
A New Approach for Computing Regular Solutions of Linear Difference Systems.
CASC
Moulay A. Barkatou, Thomas Cluzeau, Carole El Bacha
2015 J jnl
A direct algorithm for computing
ACM Commun. Comput. Algebra
Moulay A. Barkatou
2015 J jnl
Formal Solutions of Completely Integrable Pfaffian Systems With Normal Crossings.
CoRR
Moulay A. Barkatou, Maximilian Jaroschek, Suzy S. Maddah
2015 B conf
Formal Solutions of Linear Differential Systems with Essential Singularities in their Coefficients.
ISSAC
Moulay A. Barkatou, Thomas Cluzeau, Achref Jalouli
2015 J jnl
On full rank differential systems with power series coefficients.
J. Symb. Comput.
Sergei A. Abramov, Moulay A. Barkatou, Denis E. Khmelnov
2015 B conf
Removing Apparent Singularities of Systems of Linear Differential Equations with Rational Function Coefficients.
ISSAC
Moulay A. Barkatou, Suzy S. Maddah
2014 — ed.
Algebraic and Algorithmic Aspects of Differential and Integral Operators - 5th International Meeting, AADIOS 2012, Held at the Applications of Computer Algebra Conference, ACA 2012, Sofia, Bulgaria, June 25-28, 2012, Selected and Invited Papers
AADIOS
Moulay A. Barkatou, Thomas Cluzeau, Georg Regensburger, Markus Rosenkranz
2014 B conf
Computable Infinite Power Series in the Role of Coefficients of Linear Differential Systems.
CASC
Sergei A. Abramov, Moulay A. Barkatou
2014 B conf
Formal solutions of a class of Pfaffian systems in two variables.
ISSAC
Suzy S. Maddah, Moulay A. Barkatou, Hassan Abbas
2014 J jnl
On Solution Spaces of Products of Linear Differential or Difference Operators.
ACM Commun. Comput. Algebra
Sergei A. Abramov, Moulay A. Barkatou
2014 B conf
On the reduction of singularly-perturbed linear differential systems.
ISSAC
Suzy S. Maddah, Moulay A. Barkatou, Hassan Abbas
2014 — conf
Some ideas for the computation of matrix solvents.
SNC
Moulay A. Barkatou, Paola Boito, Esteban Segura Ugalde
2013 J jnl
On k-simple forms of first-order linear differential systems and their computation.
J. Symb. Comput.
Moulay A. Barkatou, Carole El Bacha
2013 J jnl
On simultaneous row and column reduction of higher-order linear differential systems.
J. Symb. Comput.
Moulay A. Barkatou, Carole El Bacha, George Labahn, Eckhard Pflügel
2013 B conf
On the Dimension of Solution Spaces of Full Rank Linear Differential Systems.
CASC
Sergei A. Abramov, Moulay A. Barkatou
2012 B conf
Computing closed form solutions of integrable connections.
ISSAC
Moulay A. Barkatou, Thomas Cluzeau, Carole El Bacha, Jacques-Arthur Weil
2012 J jnl
ISOLDE: a maple package for systems of linear functional equations.
ACM Commun. Comput. Algebra
Moulay A. Barkatou, Eckhard Pflügel, Flavia Stan
2012 B conf
Solving linear ordinary differential systems in hyperexponential extensions.
ISSAC
Moulay A. Barkatou, Clemens G. Raab
2011 B conf
Formal first integrals along solutions of differential systems I.
ISSAC
Ainhoa Aparicio-Monforte, Moulay A. Barkatou, Sergi Simon, Jacques-Arthur Weil
2011 B conf
Higher-Order Linear Differential Systems with Truncated Coefficients.
CASC
Sergei A. Abramov, Moulay A. Barkatou, Eckhard Pflügel
2011 J jnl
Simple forms of higher-order linear differential systems and their applications in computing regular solutions.
J. Symb. Comput.
Moulay A. Barkatou, Thomas Cluzeau, Carole El Bacha
2011 J jnl
Subanalytic solutions of linear difference equations and multidimensional hypergeometric sequences.
J. Symb. Comput.
Sergei A. Abramov, Moulay A. Barkatou, Mark van Hoeij, Marko Petkovsek
2010 J jnl
A Monomial-by-Monomial Method for Computing Regular Solutions of Systems of Pseudo-Linear Equations.
Math. Comput. Sci.
Moulay A. Barkatou, Gary Broughton, Eckhard Pflügel
2010 B conf
Simultaneously row- and column-reduced higher-order linear differential systems.
ISSAC
Moulay A. Barkatou, Carole El Bacha, Eckhard Pflügel
2010 B conf
Symbolic methods for solving systems of linear ordinary differential equations.
ISSAC
Moulay A. Barkatou
2009 B conf
Algorithms for regular solutions of higher-order linear differential systems.
ISSAC
Moulay A. Barkatou, Thomas Cluzeau, Carole El Bacha
2009 J jnl
D'Alembertian series solutions at ordinary points of LODE with polynomial coefficients.
J. Symb. Comput.
Sergei A. Abramov, Moulay A. Barkatou
2009 B conf
On
CASC
Sergei A. Abramov, Moulay A. Barkatou, Denis E. Khmelnov
2009 J jnl
On the Moser- and super-reduction algorithms of systems of linear differential equations and their complexity.
J. Symb. Comput.
Moulay A. Barkatou, Eckhard Pflügel
2008 B conf
Regular systems of linear functional equations and applications.
ISSAC
Moulay A. Barkatou, Gary Broughton, Eckhard Pflügel
2007 B conf
Computing super-irreducible forms of systems of linear differential equations via moser-reduction: a new approach.
ISSAC
Moulay A. Barkatou, Eckhard Pflügel
2006 J jnl
Apparent singularities of linear difference equations with polynomial coefficients.
Appl. Algebra Eng. Commun. Comput.
Sergei A. Abramov, Moulay A. Barkatou, Mark van Hoeij
2006 B conf
Rank reduction of a class of pfaffian systems in two variables.
ISSAC
Nicolas Le Roux, Moulay A. Barkatou
2003 J jnl
Gröbner bases over polytopal affinoid algebras.
J. Symb. Comput.
Moulay A. Barkatou, Lucas Legrand, Tristan Vaccon
1999 J jnl
An Algorithm Computing the Regular Formal Solutions of a System of Linear Differential Equations.
J. Symb. Comput.
Moulay A. Barkatou, Eckhard Pflügel
1999 J jnl
On Rational Solutions of Systems of Linear Differential Equations.
J. Symb. Comput.
Moulay A. Barkatou
1999 B conf
Rational Solutions of Matrix Difference Equations: The Problem of Equivalence and Factorization.
ISSAC
Moulay A. Barkatou
1998 B conf
On the Equivalence Problem of Linear Differential Systems and Its Application for Factoring Completely Reducible Systems.
ISSAC
Moulay A. Barkatou, Eckhard Pflügel
1998 B conf
Rational Solutions of First Order Linear Difference Systems.
ISSAC
Sergei A. Abramov, Moulay A. Barkatou
1996 J jnl
An algorithm to compute the exponential part of a formal fundamental matrix solution of a linear differential system.
Appl. Algebra Eng. Commun. Comput.
Moulay A. Barkatou
1995 B conf
A Rational Version of Moser's Algorithm.
ISSAC
Moulay A. Barkatou
1993 J jnl
An Algorithm for Computing a Companion Block Dianonal Form for a System of Linear Differential Equations.
Appl. Algebra Eng. Commun. Comput.
Moulay A. Barkatou
1991 J jnl
Characterization of regular singular linear systems of difference equations.
Numer. Algorithms
Moulay A. Barkatou
1989 B conf
On the Reduction of Linear Systems of Difference Equations.
ISSAC
Moulay A. Barkatou
1988 B conf
Rational Newton Algorithm for Computing Formal Solutions of Linear Differential Equations.
ISSAC
Moulay A. Barkatou