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

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dc.creatorLi, Ziming
dc.creatorSinger, Michael F.
dc.creatorWu, Min
dc.creatorZheng, Dabin
dc.date2006-04-21
dc.date.accessioned2026-07-07T07:09:24Z
dc.date.available2026-07-07T07:09:24Z
dc.descriptionWe 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.
dc.descriptionTo appear in the Proceedings of ISSAC 2006
dc.identifierhttps://arxiv.org/abs/cs/0604084
dc.identifierhttp://arxiv.org/abs/cs/0604084
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/111051
dc.subjectSymbolic Computation
dc.subjectClassical Analysis and ODEs
dc.titleA Recursive Method for Determining the One-Dimensional Submodules of Laurent-Ore Modules
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