Moulay A. Barkatou

Publication Activity (10 Years)

Years Active: 1988-2024
Publications (10 Years): 25

Top Topics

Numerically Stable

Top Venues

J. Symb. Comput.

ACM Commun. Comput. Algebra

Publications

Moulay A. Barkatou, Thomas Cluzeau
On the computation of rational solutions of linear integro-differential equations with polynomial coefficients. J. Symb. Comput. 121 (2024)
Moulay A. Barkatou, Lucas Legrand, Tristan Vaccon
Gr{ö}bner bases over polytopal affinoid algebras. CoRR (2024)
Moulay A. Barkatou, Lucas Legrand, Tristan Vaccon
Gröbner Bases Over Polytopal Affinoid Algebras. ISSAC (2024)
Moulay A. Barkatou, Mark van Hoeij, Johannes Middeke, Yi Zhou
Hypergeometric Solutions of Linear Difference Systems. CoRR (2024)
Moulay A. Barkatou, Thomas Cluzeau, Ali El-Hajj
On Rational Solutions of Pseudo-linear Systems. CASC (2021)
Moulay A. Barkatou, Maximilian Jaroschek
Removing apparent singularities of linear difference systems. J. Symb. Comput. 102 (2021)
Moulay A. Barkatou, Joelle Saadé, Jacques-Arthur Weil
Formal reduction of singular linear differential systems using eigenrings: A refined approach. J. Symb. Comput. 102 (2021)
Mark van Hoeij, Moulay A. Barkatou, Johannes Middeke
A Family of Denominator Bounds for First Order Linear Recurrence Systems. CoRR (2020)
Moulay A. Barkatou, Thomas Cluzeau, Ali El-Hajj
Simple Forms and Rational Solutions of Pseudo-Linear Systems. ISSAC (2019)
Sergei A. Abramov, Moulay A. Barkatou
Row reduction process for matrices of scalar operators: storing the intermediate results of row transformation. ACM Commun. Comput. Algebra 53 (1) (2019)
Moulay A. Barkatou, Thomas Cluzeau, Ali El-Hajj
PseudoLinearSystems - A Maple Package for Studying Systems of Pseudo-Linear Equations. MC (2019)
Moulay A. Barkatou, Suzy S. Maddah
Formal solutions of singularly-perturbed linear differential systems. J. Symb. Comput. 94 (2019)
Moulay A. Barkatou, Maximilian Jaroschek
Desingularization of First Order Linear Difference Systems with Rational Function Coefficients. ISSAC (2018)
Moulay A. Barkatou, Maximilian Jaroschek
Desingularization of First Order Linear Difference Systems with Rational Function Coefficients. CoRR (2018)
Moulay A. Barkatou, Joelle Saadé, Jacques-Arthur Weil
A New Approach for Formal Reduction of Singular Linear Differential Systems Using Eigenrings. ISSAC (2018)
Moulay A. Barkatou, Maximilian Jaroschek, Suzy S. Maddah
Formal solutions of completely integrable Pfaffian systems with normal crossings. J. Symb. Comput. 81 (2017)
Moulay A. Barkatou, Paola Boito, Esteban Segura Ugalde
A contour integral approach to the computation of invariant pairs. Theor. Comput. Sci. 681 (2017)
Moulay A. Barkatou, Thomas Cluzeau, Alexey Ovchinnikov, Georg Regensburger, Markus Rosenkranz
Special issue on computational aspects of differential/difference algebra and integral operators. Adv. Appl. Math. 72 (2016)
Moulay A. Barkatou, Thomas Cluzeau, Jacques-Arthur Weil, Lucia Di Vizio
Computing the Lie Algebra of the Differential Galois Group of a Linear Differential System. ISSAC (2016)
Moulay A. Barkatou, Thomas Cluzeau, Carole El Bacha
A New Approach for Computing Regular Solutions of Linear Difference Systems. CASC (2015)
Moulay A. Barkatou
-simple forms of first-order linear differential systems. ACM Commun. Comput. Algebra 49 (1) (2015)
Moulay A. Barkatou, Maximilian Jaroschek, Suzy S. Maddah
Formal Solutions of Completely Integrable Pfaffian Systems With Normal Crossings. CoRR (2015)
Moulay A. Barkatou, Thomas Cluzeau, Achref Jalouli
Formal Solutions of Linear Differential Systems with Essential Singularities in their Coefficients. ISSAC (2015)
Moulay A. Barkatou, Suzy S. Maddah
Removing Apparent Singularities of Systems of Linear Differential Equations with Rational Function Coefficients. ISSAC (2015)
Sergei A. Abramov, Moulay A. Barkatou, Denis E. Khmelnov
On full rank differential systems with power series coefficients. J. Symb. Comput. 68 (2015)
Suzy S. Maddah, Moulay A. Barkatou, Hassan Abbas
Formal solutions of a class of Pfaffian systems in two variables. ISSAC (2014)
Sergei A. Abramov, Moulay A. Barkatou
Computable Infinite Power Series in the Role of Coefficients of Linear Differential Systems. CASC (2014)
Suzy S. Maddah, Moulay A. Barkatou, Hassan Abbas
On the reduction of singularly-perturbed linear differential systems. ISSAC (2014)
Sergei A. Abramov, Moulay A. Barkatou
On Solution Spaces of Products of Linear Differential or Difference Operators. ACM Commun. Comput. Algebra 48 (3/4) (2014)
Moulay A. Barkatou, Paola Boito, Esteban Segura Ugalde
Some ideas for the computation of matrix solvents. SNC (2014)
Moulay A. Barkatou, Carole El Bacha, George Labahn, Eckhard Pflügel
On simultaneous row and column reduction of higher-order linear differential systems. J. Symb. Comput. 49 (2013)
Moulay A. Barkatou, Carole El Bacha
On k-simple forms of first-order linear differential systems and their computation. J. Symb. Comput. 54 (2013)
Sergei A. Abramov, Moulay A. Barkatou
On the Dimension of Solution Spaces of Full Rank Linear Differential Systems. CASC (2013)
Moulay A. Barkatou, Eckhard Pflügel, Flavia Stan
ISOLDE: a maple package for systems of linear functional equations. ACM Commun. Comput. Algebra 46 (3/4) (2012)
Moulay A. Barkatou, Thomas Cluzeau, Carole El Bacha, Jacques-Arthur Weil
Computing closed form solutions of integrable connections. ISSAC (2012)
Moulay A. Barkatou, Clemens G. Raab
Solving linear ordinary differential systems in hyperexponential extensions. ISSAC (2012)
Sergei A. Abramov, Moulay A. Barkatou, Mark van Hoeij, Marko Petkovsek
Subanalytic solutions of linear difference equations and multidimensional hypergeometric sequences. J. Symb. Comput. 46 (11) (2011)
Sergei A. Abramov, Moulay A. Barkatou, Eckhard Pflügel
Higher-Order Linear Differential Systems with Truncated Coefficients. CASC (2011)
Moulay A. Barkatou, Thomas Cluzeau, Carole El Bacha
Simple forms of higher-order linear differential systems and their applications in computing regular solutions. J. Symb. Comput. 46 (6) (2011)
Ainhoa Aparicio-Monforte, Moulay A. Barkatou, Sergi Simon, Jacques-Arthur Weil
Formal first integrals along solutions of differential systems I. ISSAC (2011)
Moulay A. Barkatou, Carole El Bacha, Eckhard Pflügel
Simultaneously row- and column-reduced higher-order linear differential systems. ISSAC (2010)
Moulay A. Barkatou, Gary Broughton, Eckhard Pflügel
A Monomial-by-Monomial Method for Computing Regular Solutions of Systems of Pseudo-Linear Equations. Math. Comput. Sci. 4 (2-3) (2010)
Moulay A. Barkatou
Symbolic methods for solving systems of linear ordinary differential equations. ISSAC (2010)
Moulay A. Barkatou, Eckhard Pflügel
On the Moser- and super-reduction algorithms of systems of linear differential equations and their complexity. J. Symb. Comput. 44 (8) (2009)
Sergei A. Abramov, Moulay A. Barkatou, Denis E. Khmelnov
-Interlacing Solutions of Linear Difference Equations. CASC (2009)
Sergei A. Abramov, Moulay A. Barkatou
D'Alembertian series solutions at ordinary points of LODE with polynomial coefficients. J. Symb. Comput. 44 (1) (2009)
Moulay A. Barkatou, Thomas Cluzeau, Carole El Bacha
Algorithms for regular solutions of higher-order linear differential systems. ISSAC (2009)
Moulay A. Barkatou, Gary Broughton, Eckhard Pflügel
Regular systems of linear functional equations and applications. ISSAC (2008)
Moulay A. Barkatou, Eckhard Pflügel
Computing super-irreducible forms of systems of linear differential equations via moser-reduction: a new approach. ISSAC (2007)
Nicolas Le Roux, Moulay A. Barkatou
Rank reduction of a class of pfaffian systems in two variables. ISSAC (2006)
Sergei A. Abramov, Moulay A. Barkatou, Mark van Hoeij
Apparent singularities of linear difference equations with polynomial coefficients. Appl. Algebra Eng. Commun. Comput. 17 (2) (2006)
Moulay A. Barkatou
On Rational Solutions of Systems of Linear Differential Equations. J. Symb. Comput. 28 (4-5) (1999)
Moulay A. Barkatou
Rational Solutions of Matrix Difference Equations: The Problem of Equivalence and Factorization. ISSAC (1999)
Moulay A. Barkatou, Eckhard Pflügel
An Algorithm Computing the Regular Formal Solutions of a System of Linear Differential Equations. J. Symb. Comput. 28 (4-5) (1999)
Moulay A. Barkatou, Eckhard Pflügel
On the Equivalence Problem of Linear Differential Systems and Its Application for Factoring Completely Reducible Systems. ISSAC (1998)
Sergei A. Abramov, Moulay A. Barkatou
Rational Solutions of First Order Linear Difference Systems. ISSAC (1998)
Moulay A. Barkatou
An algorithm to compute the exponential part of a formal fundamental matrix solution of a linear differential system. Appl. Algebra Eng. Commun. Comput. 8 (1) (1996)
Moulay A. Barkatou
A Rational Version of Moser's Algorithm. ISSAC (1995)
Moulay A. Barkatou
An Algorithm for Computing a Companion Block Dianonal Form for a System of Linear Differential Equations. Appl. Algebra Eng. Commun. Comput. 4 (1993)
Moulay A. Barkatou
Characterization of regular singular linear systems of difference equations. Numer. Algorithms 1 (2) (1991)
Moulay A. Barkatou
On the Reduction of Linear Systems of Difference Equations. ISSAC (1989)
Moulay A. Barkatou
Rational Newton Algorithm for Computing Formal Solutions of Linear Differential Equations. ISSAC (1988)