Research output: Contribution to Journal/Magazine › Journal article › peer-review
Research output: Contribution to Journal/Magazine › Journal article › peer-review
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TY - JOUR
T1 - Determining the number of real roots of polynomials through neural networks
AU - Mourrain, B.
AU - Pavlidis, Nicos
AU - Tasoulis, Dimitrios K
AU - Vrahatis, Michael N.
PY - 2006/2
Y1 - 2006/2
N2 - 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.
AB - 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.
KW - Roots of polynomials
KW - Neural networks
KW - Number of zeros
U2 - 10.1016/j.camwa.2005.07.012
DO - 10.1016/j.camwa.2005.07.012
M3 - Journal article
VL - 51
SP - 527
EP - 536
JO - Computers and Mathematics with Applications
JF - Computers and Mathematics with Applications
SN - 0898-1221
IS - 3-4
ER -