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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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https://hal.inria.fr/inria-00459722
Contributor : Alban Quadrat Connect in order to contact the contributor
Submitted on : Wednesday, February 24, 2010 - 6:45:39 PM
Last modification on : Saturday, June 25, 2022 - 11:03:35 PM
Long-term archiving on: : Thursday, October 18, 2012 - 3:50:19 PM

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  • HAL Id : inria-00459722, version 1

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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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