Moulay A. Barkatou

According to our database, Moulay A. Barkatou authored at least 61 papers between 1988 and 2024.

Collaborative distances:

• Dijkstra number of five.
• Erdős number of four.

2024

On the computation of rational solutions of linear integro-differential equations with polynomial coefficients.

Moulay A. Barkatou, Thomas Cluzeau

J. Symb. Comput., March, 2024

Gr{ö}bner bases over polytopal affinoid algebras.

Moulay A. Barkatou, Lucas Legrand, Tristan Vaccon

CoRR, 2024

Hypergeometric Solutions of Linear Difference Systems.

Moulay A. Barkatou, Mark van Hoeij, Johannes Middeke, Yi Zhou

CoRR, 2024

Gröbner Bases Over Polytopal Affinoid Algebras.

Moulay A. Barkatou, Lucas Legrand, Tristan Vaccon

Proceedings of the 2024 International Symposium on Symbolic and Algebraic Computation, 2024

2021

Formal reduction of singular linear differential systems using eigenrings: A refined approach.

Moulay A. Barkatou, Joelle Saadé, Jacques-Arthur Weil

J. Symb. Comput., 2021

Removing apparent singularities of linear difference systems.

Moulay A. Barkatou, Maximilian Jaroschek

J. Symb. Comput., 2021

On Rational Solutions of Pseudo-linear Systems.

Moulay A. Barkatou, Thomas Cluzeau, Ali El-Hajj

Proceedings of the Computer Algebra in Scientific Computing - 23rd International Workshop, 2021

2020

A Family of Denominator Bounds for First Order Linear Recurrence Systems.

Mark van Hoeij, Moulay A. Barkatou, Johannes Middeke

CoRR, 2020

2019

Formal solutions of singularly-perturbed linear differential systems.

Moulay A. Barkatou, Suzy S. Maddah

J. Symb. Comput., 2019

Row reduction process for matrices of scalar operators: storing the intermediate results of row transformation.

Sergei A. Abramov, Moulay A. Barkatou

ACM Commun. Comput. Algebra, 2019

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

Moulay A. Barkatou, Thomas Cluzeau, Ali El-Hajj

Proceedings of the Maple in Mathematics Education and Research - Third Maple Conference, 2019

Simple Forms and Rational Solutions of Pseudo-Linear Systems.

Moulay A. Barkatou, Thomas Cluzeau, Ali El-Hajj

Proceedings of the 2019 on International Symposium on Symbolic and Algebraic Computation, 2019

2018

A New Approach for Formal Reduction of Singular Linear Differential Systems Using Eigenrings.

Moulay A. Barkatou, Joelle Saadé, Jacques-Arthur Weil

Proceedings of the 2018 ACM on International Symposium on Symbolic and Algebraic Computation, 2018

Desingularization of First Order Linear Difference Systems with Rational Function Coefficients.

Moulay A. Barkatou, Maximilian Jaroschek

Proceedings of the 2018 ACM on International Symposium on Symbolic and Algebraic Computation, 2018

2017

A contour integral approach to the computation of invariant pairs.

Moulay A. Barkatou, Paola Boito, Esteban Segura Ugalde

Theor. Comput. Sci., 2017

Formal solutions of completely integrable Pfaffian systems with normal crossings.

Moulay A. Barkatou, Maximilian Jaroschek, Suzy S. Maddah

J. Symb. Comput., 2017

2016

Special issue on computational aspects of differential/difference algebra and integral operators.

Moulay A. Barkatou, Thomas Cluzeau, Alexey Ovchinnikov, Georg Regensburger, Markus Rosenkranz

Adv. Appl. Math., 2016

Computing the Lie Algebra of the Differential Galois Group of a Linear Differential System.

Moulay A. Barkatou, Thomas Cluzeau, Jacques-Arthur Weil, Lucia Di Vizio

Proceedings of the ACM on International Symposium on Symbolic and Algebraic Computation, 2016

2015

On full rank differential systems with power series coefficients.

Sergei A. Abramov, Moulay A. Barkatou, Denis E. Khmelnov

J. Symb. Comput., 2015

A direct algorithm for computing <i>k</i>-simple forms of first-order linear differential systems.

Moulay A. Barkatou

ACM Commun. Comput. Algebra, 2015

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

Moulay A. Barkatou, Suzy S. Maddah

Proceedings of the 2015 ACM on International Symposium on Symbolic and Algebraic Computation, 2015

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

Moulay A. Barkatou, Thomas Cluzeau, Achref Jalouli

Proceedings of the 2015 ACM on International Symposium on Symbolic and Algebraic Computation, 2015

A New Approach for Computing Regular Solutions of Linear Difference Systems.

Moulay A. Barkatou, Thomas Cluzeau, Carole El Bacha

Proceedings of the Computer Algebra in Scientific Computing - 17th International Workshop, 2015

2014

On Solution Spaces of Products of Linear Differential or Difference Operators.

Sergei A. Abramov, Moulay A. Barkatou

ACM Commun. Comput. Algebra, 2014

Some ideas for the computation of matrix solvents.

Moulay A. Barkatou, Paola Boito, Esteban Segura Ugalde

Proceedings of the Symbolic-Numeric Computation 2014, 2014

On the reduction of singularly-perturbed linear differential systems.

Suzy S. Maddah, Moulay A. Barkatou, Hassan Abbas

Proceedings of the International Symposium on Symbolic and Algebraic Computation, 2014

Formal solutions of a class of Pfaffian systems in two variables.

Suzy S. Maddah, Moulay A. Barkatou, Hassan Abbas

Proceedings of the International Symposium on Symbolic and Algebraic Computation, 2014

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

Sergei A. Abramov, Moulay A. Barkatou

Proceedings of the Computer Algebra in Scientific Computing - 16th International Workshop, 2014

2013

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

Moulay A. Barkatou, Carole El Bacha, George Labahn, Eckhard Pflügel

J. Symb. Comput., 2013

On k-simple forms of first-order linear differential systems and their computation.

Moulay A. Barkatou, Carole El Bacha

J. Symb. Comput., 2013

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

Sergei A. Abramov, Moulay A. Barkatou

Proceedings of the Computer Algebra in Scientific Computing - 15th International Workshop, 2013

2012

ISOLDE: a maple package for systems of linear functional equations.

Moulay A. Barkatou, Eckhard Pflügel, Flavia Stan

ACM Commun. Comput. Algebra, 2012

Solving linear ordinary differential systems in hyperexponential extensions.

Moulay A. Barkatou, Clemens G. Raab

Proceedings of the International Symposium on Symbolic and Algebraic Computation, 2012

Computing closed form solutions of integrable connections.

Moulay A. Barkatou, Thomas Cluzeau, Carole El Bacha, Jacques-Arthur Weil

Proceedings of the International Symposium on Symbolic and Algebraic Computation, 2012

2011

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

Moulay A. Barkatou, Thomas Cluzeau, Carole El Bacha

J. Symb. Comput., 2011

Subanalytic solutions of linear difference equations and multidimensional hypergeometric sequences.

Sergei A. Abramov, Moulay A. Barkatou, Mark van Hoeij, Marko Petkovsek

J. Symb. Comput., 2011

Formal first integrals along solutions of differential systems I.

Ainhoa Aparicio-Monforte, Moulay A. Barkatou, Sergi Simon, Jacques-Arthur Weil

Proceedings of the Symbolic and Algebraic Computation, International Symposium, 2011

Higher-Order Linear Differential Systems with Truncated Coefficients.

Sergei A. Abramov, Moulay A. Barkatou, Eckhard Pflügel

Proceedings of the Computer Algebra in Scientific Computing - 13th International Workshop, 2011

2010

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

Moulay A. Barkatou, Gary Broughton, Eckhard Pflügel

Math. Comput. Sci., 2010

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

Moulay A. Barkatou, Carole El Bacha, Eckhard Pflügel

Proceedings of the Symbolic and Algebraic Computation, International Symposium, 2010

Symbolic methods for solving systems of linear ordinary differential equations.

Moulay A. Barkatou

Proceedings of the Symbolic and Algebraic Computation, International Symposium, 2010

2009

On the Moser- and super-reduction algorithms of systems of linear differential equations and their complexity.

Moulay A. Barkatou, Eckhard Pflügel

J. Symb. Comput., 2009

D'Alembertian series solutions at ordinary points of LODE with polynomial coefficients.

Sergei A. Abramov, Moulay A. Barkatou

J. Symb. Comput., 2009

Algorithms for regular solutions of higher-order linear differential systems.

Moulay A. Barkatou, Thomas Cluzeau, Carole El Bacha

Proceedings of the Symbolic and Algebraic Computation, International Symposium, 2009

On <i>m</i>-Interlacing Solutions of Linear Difference Equations.

Sergei A. Abramov, Moulay A. Barkatou, Denis E. Khmelnov

Proceedings of the Computer Algebra in Scientific Computing, 11th International Workshop, 2009

2008

Regular systems of linear functional equations and applications.

Moulay A. Barkatou, Gary Broughton, Eckhard Pflügel

Proceedings of the Symbolic and Algebraic Computation, International Symposium, 2008

2007

Computing super-irreducible forms of systems of linear differential equations via moser-reduction: a new approach.

Moulay A. Barkatou, Eckhard Pflügel

Proceedings of the Symbolic and Algebraic Computation, International Symposium, 2007

2006

Apparent singularities of linear difference equations with polynomial coefficients.

Sergei A. Abramov, Moulay A. Barkatou, Mark van Hoeij

Appl. Algebra Eng. Commun. Comput., 2006

Rank reduction of a class of pfaffian systems in two variables.

Nicolas Le Roux, Moulay A. Barkatou

Proceedings of the Symbolic and Algebraic Computation, International Symposium, 2006

1999

An Algorithm Computing the Regular Formal Solutions of a System of Linear Differential Equations.

Moulay A. Barkatou, Eckhard Pflügel

J. Symb. Comput., 1999

On Rational Solutions of Systems of Linear Differential Equations.

Moulay A. Barkatou

J. Symb. Comput., 1999

Rational Solutions of Matrix Difference Equations: The Problem of Equivalence and Factorization.

Moulay A. Barkatou

Proceedings of the 1999 International Symposium on Symbolic and Algebraic Computation, 1999

1998

On the Equivalence Problem of Linear Differential Systems and Its Application for Factoring Completely Reducible Systems.

Moulay A. Barkatou, Eckhard Pflügel

Proceedings of the 1998 International Symposium on Symbolic and Algebraic Computation, 1998

Rational Solutions of First Order Linear Difference Systems.

Sergei A. Abramov, Moulay A. Barkatou

Proceedings of the 1998 International Symposium on Symbolic and Algebraic Computation, 1998

1996

An algorithm to compute the exponential part of a formal fundamental matrix solution of a linear differential system.

Moulay A. Barkatou

Appl. Algebra Eng. Commun. Comput., 1996

1995

A Rational Version of Moser's Algorithm.

Moulay A. Barkatou

Proceedings of the 1995 International Symposium on Symbolic and Algebraic Computation, 1995

1993

An Algorithm for Computing a Companion Block Dianonal Form for a System of Linear Differential Equations.

Moulay A. Barkatou

Appl. Algebra Eng. Commun. Comput., 1993

1991

Characterization of regular singular linear systems of difference equations.

Moulay A. Barkatou

Numer. Algorithms, 1991

1989

Contribution à l'étude des équations différentielles et aux différences dans le champ complexe. (Contributions to the study of linear differential equations and difference equations in the complex domain).

My Abdelfattah Barkatou

PhD thesis, 1989

On the Reduction of Linear Systems of Difference Equations.

Moulay A. Barkatou

Proceedings of the ACM-SIGSAM 1989 International Symposium on Symbolic and Algebraic Computation, 1989

1988

Rational Newton Algorithm for Computing Formal Solutions of Linear Differential Equations.

Moulay A. Barkatou

Proceedings of the Symbolic and Algebraic Computation, 1988