一种基于泛函网络的多项式Euclidean算法

提出一种基于泛函网络的多项式Euclidean计算新模型，给出一种基于泛函网络的多项式Euclidean新算法。网络的泛函参数利用解线性方程组方法来完成。相对于传统方法，该方法不但能够快速地获得所求多项式问题的精确解，而且可获得所求多项式问题的近似解。计算机仿真结果表明，该算法十分有效、可行，可以看作是对传统的Euclidean算法的一种推广。该算法将在计算机数学、代数密码学等方面有着广泛的应用。

A Learning Algorithm of Euclidean Based on Functional Networks

In this paper,a novel polynomial functional network based on Euclidean of computation model is designed, and a learning algorithm based on Euclidean algorithm is proposed, the learning of parameters of the functional networks is carried out by the solving linear equations. Not only we obtained the exact roots of polynomial equaiton, but al so the approximate roots of polynomial equation. Finally, the simulation results demonstrate that the identification method presented in the paper is more efficient and feasible in finding the roots of arbitrary polynomials. The algorithm is an extension of traditional Euclidean algorithm, to be applied to computer and algebra code fields.