A Recursive Method for Determining the One-Dimensional Submodules of Laurent-Ore Modules
<|reference_start|>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.<|reference_end|>
@article{li2006a,
    title={A Recursive Method for Determining the One-Dimensional Submodules of
  Laurent-Ore Modules},
    author={Ziming Li, Michael F. Singer, Min Wu, Dabin Zheng},
    journal={arXiv preprint arXiv:cs/0604084},
    year={2006},
    archivePrefix={arXiv},
    eprint={cs/0604084},
    primaryClass={cs.SC math.CA}
}