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

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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.

Item Type:	Article
Journal or Publication Title:	Computers and Mathematics with Applications
Uncontrolled Keywords:	Roots of polynomials ; Neural networks ; Number of zeros
Subjects:	UNSPECIFIED
Departments:	Lancaster University Management School > Management Science
ID Code:	50913
Deposited By:	ep_importer_pure
Deposited On:	09 Nov 2011 13:36
Refereed?:	Yes
Published?:	Published
Last Modified:	26 Jul 2012 19:45
Identification Number:
URI:	http://eprints.lancs.ac.uk/id/eprint/50913

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