Summary: A Universal Program to Uncouple Linear
Sergei A. Abramov
Computer Center of
the Russian Academy of Science,
Vavilova 40, Moscow 117967, Russia.
Eugene V. Zima
Comput. Math. & Cybernetics dept.,
Moscow State University,
Moscow 119899, Russia.
We describe a program to uncouple a linear system of equations.
An algorithm is described in terms of an arbitrary Ore polynomial
ring. It allows to adjust the program for the di#erential, di#erence,
qdi#erence and many other cases.
The search for solutions of a system of linear ordinary di#erential equations
can be reduced to the search for solutions of scalar (i.e., with one unique