A Novel Algorithm for Solving Nonlinear Equations

  title={A Novel Algorithm for Solving Nonlinear Equations},
  author={Wenli Xie and Zhezhao Zeng},
  journal={2008 International Conference on Computational Intelligence and Security},
A novel algorithm for solving nonlinear equations is proposed. The computation is carried out by simple gradient descent rule with adaptive variable step-size. In order to make the algorithm be absolutely convergent, its convergence theorem was presented and proved. The convergence theorem indicates the theory criterion selecting the magnitude of the learning rate ¿ . Some specific examples show the application of the method. The results illustrate the proposed method can solve effectively… CONTINUE READING
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