方程组的降维与部分解耦
Size reduction and partial decoupling of systems of equations
摘要：
提出了一种方法，减少了系统的线性方程（代数，常微分方程和偏微分方程）的条款的数量。作为副产品，这些系统有一种倾向，成为部分解耦，更有可能是可分解或可积。这种方法的一种变形适用于非线性系统。修改，以提高效率，并给出了例子。这个过程可以用于计算微分理想的根（微分Groebner基）。
英文摘要：
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).
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