Serre's reduction of linear functional systems

Abstract : Serre's reduction aims at reducing the number of unknowns and equations of a linear functional system (e.g., system of partial differential equations, system of differential time-delay equations, system of difference equations). Finding an equivalent representation of a linear functional system containing fewer equations and fewer unknowns generally simplifies the study of its structural properties, its closed-form integration as well as of different numerical analysis issues. The purpose of this paper is to present a constructive approach to Serre's reduction for determined and underdetermined linear functional systems.
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Rapport
[Research Report] RR-7214, INRIA. 2010, pp.56
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Mohamed S. Boudellioua, Alban Quadrat. Serre's reduction of linear functional systems. [Research Report] RR-7214, INRIA. 2010, pp.56. 〈inria-00459722〉

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