Size reduction and partial decoupling of systems of equations
<|reference_start|>Size reduction and partial decoupling of systems of equations: 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).<|reference_end|>
@article{wolf2003size,
    title={Size reduction and partial decoupling of systems of equations},
    author={Thomas Wolf},
    journal={J. Symb. Comp. 33, no 3 (2002) 367-383},
    year={2003},
    archivePrefix={arXiv},
    eprint={cs/0301029},
    primaryClass={cs.SC}
}