An Algorithm Computing the Regular Formal Solutions of a System of Linear Differential Equations

Abstract

We propose a method for computing the regular singular formal solutions of a linear differential system in the neighbourhood of a singular point. This algorithm avoids the use of cyclic vectors and has been implemented1The program is contained in the package ISOLDE at http://www-lmc.imag.fr/CF/logiciel.htmlin the computer algebra system Maple. © 1999 Academic Press.