A Monomial-by-Monomial Method for Computing Regular Solutions of Systems of Pseudo-Linear Equations |
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| Authors: | Moulay A. Barkatou Gary Broughton Eckhard Pflügel |
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| Affiliation: | 1. Institut XLIM, Université de Limoges, CNRS, 123, Av. A. Thomas, 87060, Limoges, France
2. Faculty of CISM, Kingston University, Penrhyn Road, Kingston upon Thames, Surrey, KT1 2EE, UK
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| Abstract: | This paper deals with the local analysis of systems of pseudo-linear equations. We define regular solutions and use this as a unifying theoretical framework for discussing the structure and existence of regular solutions of various systems of linear functional equations. We then give a generic and flexible algorithm for the computation of a basis of regular solutions. We have implemented this algorithm in the computer algebra system Maple in order to provide novel functionality for solving systems of linear differential, difference and q-difference equations given in various input formats. |
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