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 0898-1221Full text not available from this repository.
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.
|Journal or Publication Title:||Computers and Mathematics with Applications|
|Uncontrolled Keywords:||Roots of polynomials ; Neural networks ; Number of zeros|
|Departments:||Lancaster University Management School > Management Science|
|Deposited On:||09 Nov 2011 13:36|
|Last Modified:||05 Feb 2016 01:14|
Actions (login required)