Solving systems of linear equations and finding the inversion of a matrix by neural network using genetic algorithms (NN using GA)

  • Authors:

  • Z. Ghassabi;B. Moaveni;A. Khaki-Sedigh

  • Affiliations:

  • Department of Computer Science, Islamic Azad University, Science and Research Branch, Tehran, Iran;Department of Computer Science, Islamic Azad University, Science and Research Branch, Tehran, Iran;Department of Computer Science, Islamic Azad University, Science and Research Branch, Tehran, Iran

  • Venue:
  • CIMMACS'06 Proceedings of the 5th WSEAS International Conference on Computational Intelligence, Man-Machine Systems and Cybernetics
  • Year:
  • 2006

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Abstract

In this paper, we propose a one-layered neural network that recovers its input variables by genetic algorithms to solve the systems of linear equations (or, equivalently, matrix inversion). First we described solving systems of linear equations (matrix inversion) by mentioned neural network. Then, experimental results are presented to show the effectiveness of the approach. Finally, future avenue of this research is proposed.