Title | Hadamard matrices of Williamson type: A challenge for Computer Algebra |
Author(s) | Ilias S. Kotsireas, Christos Koukouvinos |
Type | Article in Journal |
Abstract | We describe new families of challenging polynomial systems of equations arising in the construction of Hadamard matrices of Williamson type. These systems depend on a parameter and exhibit a number of symmetries. We demonstrate that Genetic Algorithms form a suitable tool to apply to these systems, for which the traditional Computer Algebra methods seem to be inappropriate. |
Keywords | Hadamard matrices, Genetic algorithms, Systems of polynomial equations |
ISSN | 0747-7171 |
URL |
http://www.sciencedirect.com/science/article/pii/S0747717108001144 |
Language | English |
Journal | Journal of Symbolic Computation |
Volume | 44 |
Number | 3 |
Pages | 271 - 279 |
Year | 2009 |
Note | Polynomial System Solving in honor of Daniel Lazard |
Edition | 0 |
Translation |
No |
Refereed |
No |