English

Size reduction and partial decoupling of systems of equations

Symbolic Computation 2007-05-23 v1

Abstract

A method is presented that reduces the number of terms of systems of linear equations (algebraic, ordinary and partial differential equations). As a byproduct these systems have a tendency to become partially decoupled and are more likely to be factorizable or integrable. A variation of this method is applicable to non-linear systems. Modifications to improve efficiency are given and examples are shown. This procedure can be used in connection with the computation of the radical of a differential ideal (differential Groebner basis).

Keywords

Cite

@article{arxiv.cs/0301029,
  title  = {Size reduction and partial decoupling of systems of equations},
  author = {Thomas Wolf},
  journal= {arXiv preprint arXiv:cs/0301029},
  year   = {2007}
}