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Rational Solutions of First Order Linear Di#erence Systems S. A. Abramov #
 

Summary: Rational Solutions of First Order Linear Di#erence Systems
S. A. Abramov #
Computer Center of
the Russian Academy of Science,
Vavilova 40, Moscow 117967, Russia
abramov@ccas.ru
sabramov@cs.msu.su
M. A. Barkatou
Universit’e de Grenoble I,
IMAG­LMC,
51 Rue de Math’ematiques,
B.P. 53, 38041 Grenoble Cedex 9, France
Moulay.Barkatou@imag.fr
Abstract
We propose an algorithm to compute rational function so­
lutions for a first order system of linear di#erence equations
with rational coe#cients. This algorithm does not require
preliminary uncoupling of the given system.
1 Introduction
Let K be a field of characteristic zero. A system of first

  

Source: Abramov, Sergei A. - Dorodnicyn Computing Centre of the Russian Academy of Sciences

 

Collections: Mathematics; Computer Technologies and Information Sciences