New algorithm for solving nonlinear equations roots

  • Authors:
  • Delong Guo;Yongquan Zhou;Xiaobin Luo

  • Affiliations:
  • Department of Maths, Qiannan Normal College for Nationalities, Duyun, China;College of Information Science and engineering, Guangxi University for Nationalities, Nanning, China;Department of Maths, Qiannan Normal College for Nationalities, Duyun, China

  • Venue:
  • ICIC'13 Proceedings of the 9th international conference on Intelligent Computing Theories
  • Year:
  • 2013

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Abstract

Traditional optimization algorithm is widely used solving nonlinear equations numerical solution problem ,it is not only slow convergence speed but also easy to fall into local optimal solution and solution low precision. Adaptive membrane computing optimization algorithm is important achievement performance improvement, Firstly, the high-dimensional space split,each subspace is a basic membrane, evolutionary strategy algorithm based on basic membrane area is used to improve the local search ability and convergence speed. Basic membrane area will be local optimum timing is transmitted to the surface membrane. Particle swarm optimization (PSO) has global search ability is used surface membrane area. through simulation the paper can comparatively analyze the performance of different algorithms.