Determining the number of real roots of polynomials through neural networks
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 molec...
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| Veröffentlicht in: | Computers & mathematics with applications (1987) 2006-02, Vol.51 (3), p.527-536 |
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| container_title | Computers & mathematics with applications (1987) |
| container_volume | 51 |
| creator | Mourrain, B. Pavlidis, N.G. Tasoulis, D.K. Vrahatis, M.N. |
| description | 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. |
| doi_str_mv | 10.1016/j.camwa.2005.07.012 |
| format | Article |
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| ispartof | Computers & mathematics with applications (1987), 2006-02, Vol.51 (3), p.527-536 |
| issn | 0898-1221 1873-7668 |
| language | eng |
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| source | Elsevier ScienceDirect Journals Complete; EZB-FREE-00999 freely available EZB journals |
| subjects | Accuracy Feedforward Mathematical analysis Mathematical models Neural networks Number of zeros Roots Roots of polynomials Tasks Training |
| title | Determining the number of real roots of polynomials through neural networks |
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