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Determining the number of real roots of polynomials through neural networks

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<mark>Journal publication date</mark>02/2006
<mark>Journal</mark>Computers and Mathematics with Applications
Issue number3-4
Volume51
Number of pages10
Pages (from-to)527-536
Publication StatusPublished
<mark>Original language</mark>English

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.