Abstract
Pseudo-linear systems constitute a large class of linear functional systems including the usual differential, difference and q-difference systems. The Maple package PseudoLinearSystems is dedicated to the study of this class of linear systems. It contains a generic procedure for computing a so-called simple form of a pseudo-linear system as well as local data useful for the local analysis: k-simple forms, super-irreducible forms, integer slopes of the Newton polygon, indicial equations, etc. It is also devoted to the computation of rational solutions (using simple forms) of a single linear differential, difference or q-difference system, as well as rational solutions of a system of mixed linear partial differential, difference and q-difference equations. In this software presentation, we demonstrate the use of several procedures of the package that are all based on the simple form procedure.
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References
Barkatou, M., Cluzeau, T., El Hajj, A.: PseudoLinearSystems - A Maple Package for Studying Systems of Pseudo-Linear Equations (2019). http://www.unilim.fr/pages_perso/ali.el-hajj/PseudoLinearSystems.html
Barkatou, M., Cluzeau, T., El Hajj, A.: Simple forms and rational solutions of pseudo-linear systems. In: Proceedings of the ISSAC 2019 (2019)
Barkatou, M., El Bacha, C.: On \(k\)-simple forms of first-order linear differential systems and their computation. J. Symb. Comput. 54, 36–58 (2013)
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Barkatou, M., Cluzeau, T., El Hajj, A. (2020). PseudoLinearSystems – A Maple Package for Studying Systems of Pseudo-Linear Equations. In: Gerhard, J., Kotsireas, I. (eds) Maple in Mathematics Education and Research. MC 2019. Communications in Computer and Information Science, vol 1125. Springer, Cham. https://doi.org/10.1007/978-3-030-41258-6_24
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DOI: https://doi.org/10.1007/978-3-030-41258-6_24
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