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Simplifying Criterions for Polynomial Equations in Triangular Form

Jinao He, Lei Huang


Many practical problems can be converted to solving a polynomial equations in triangular form. For the sake of real-time control, the engineers want to simplify the polynomial equations usually, so that every polynomial has lower degree and less terms. This is a very important but not easy problem. In this paper, we will propose three simplifying criterions for polynomial equations in triangular form, and give out their algorithm. Besides, our method is a normalization algorithm of an ascending chain.


GCD ,Pseudo-remainder, Simplicial Decomposition,Triangular form.

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