Determining the number of real roots of polynomials through neural networks

Mourrain, B. and Pavlidis, Nicos and Tasoulis, Dimitrios K and Vrahatis, Michael N. (2006) Determining the number of real roots of polynomials through neural networks. Computers and Mathematics with Applications, 51 (3-4). pp. 527-536. ISSN 0898-1221

Abstract

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.