Determining the number of real roots of polynomials through neural networks
The ability of feedforward neural networks to identify the number of real roots of univariate polynomials is investigated. Furthermore, their ability to determine whether a system of multivariate polynomial equations has real solutions: is examined on a problem of determining the structure of a molecule. The obtained experimental results indicate that neural networks are capable of performing this task with high accuracy even when the training set is very small compared to the test set. (c) 2006 Elsevier Ltd. All rights reserved.
roots of polynomials neural networks number of zeros