A recursive method for determining the one-dimensional submodules of Laurent-Ore modules
Ziming Li, Michael F. Singer, Min Wu, Dabin Zheng · 2006
We present a method for determining the one-dimensional submodules of a Laurent-Ore module. The method is based on a correspondence between hyperexponential solutions of associated systems and one-dimensional submodules. The hyperexponential solutions are computed recursively by solving a sequence of first-order ordinary matrix equations. As the recursion proceeds, the matrix equations will have constant coefficients with respect to the operators that have been considered.