A Recursive Method for Determining the One-Dimensional Submodules of Laurent-Ore Modules

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. Categories and Subject Descriptors

• Type: Journal
• Year: 2006
• Where: CORR
• Authors: Ziming Li, Michael F. Singer, Min Wu, Dabin Zheng
• Keywords: CORR 2006, Education, Hyperexponential Solutions, Matrix Equations, One-dimensional Submodules