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A constrained learning algorithm is proposed for finding the multiple real roots by neural networks based on the complete discrimination system of polynomial. By coupling a constrained condition into the error function of the neural networks, the proposed algorithm is effectively to avoid the weights fluctuating in a large range. To speed up the convergence speed, a momentum term is added into the...
A new method of solving the multiple real roots of polynomial by neural networks is proposed in this paper. This method combines the symbolic method with the numerical method. Based on the complete discrimination system of polynomial, the number and multiplicities of the distinct real roots of polynomials can be explicit determined. According to the number of the distinct real roots, a neural networks...
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