Simple Forms and Rational Solutions of Pseudo-Linear Systems
@article{Barkatou2019SimpleFA, title={Simple Forms and Rational Solutions of Pseudo-Linear Systems}, author={M. Barkatou and T. Cluzeau and A. El-Hajj}, journal={Proceedings of the 2019 on International Symposium on Symbolic and Algebraic Computation}, year={2019} }
In this paper, we first provide a unified algorithm for computing simple forms for systems of pseudo-linear equations. We prove that the existing methods for linear differential and difference systems can be extended to handle more general pseudo-linear systems. We explain how the reduction to a simple form can be used to compute efficiently local data for a system of pseudo-linear equations. We then propose an alternative, again based on simple forms, to previous algorithms for computing… CONTINUE READING
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References
SHOWING 1-5 OF 5 REFERENCES
Symbolic algorithms for the local analysis of systems of pseudo-linear equations
- Computer Science, Mathematics
- 2013
- 1
- Highly Influential
A direct algorithm to compute rational solutions of first order linear q-difference systems
- Mathematics, Computer Science
- Discret. Math.
- 2002
- 10
- Highly Influential
Contribution à l'étude des équations différentielles et aux différences dans le champ complexe
- Mathematics
- 1989
- 21
- Highly Influential
Méthodes algébriques pour la résolution d’équations différentielles matricielles d’ordre arbitraire
- Philosophy
- 2011
- 5
- Highly Influential
Pseudo-linear systems: simple forms and rational Solutions, http://www.unilim.fr/pages_perso/ali.el-hajj/ Implementations.html
- 2019