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A Learning Algorithm of Euclidean Based on Functional Networks
一种基于泛函网络的多项式Euclidean算法

Keywords: Functional network,Polynomial Euclidean algorithm,Polynomials,Learning algorithm,Compute mathematics
泛函网络
,Euclidean算法,多项式,学习算法,计算机数学

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Abstract:

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.

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