Recurrent Neural Networks for Solving Linear Inequalities and Equations

  title={Recurrent Neural Networks for Solving Linear Inequalities and Equations},
  author={Youshen Xia and Jun Wang and Donald L. Hung},
This paper presents two types of recurrent neural networks, continuous-time and discrete-time ones, for solving linear inequality and equality systems. In addition to the basic continuous-time and discrete-time neural-network models, two improved discrete-time neural networks with faster convergence rate are proposed by use of scaling techniques. The proposed neural networks can solve a linear inequality and equality system, can solve a linear program and its dual simultaneously, and thus… CONTINUE READING
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