Approximating a solution set of nonlinear inequalities

@article{Evtushenko2018ApproximatingAS,
  title={Approximating a solution set of nonlinear inequalities},
  author={Yuri Evtushenko and Mikhail Posypkin and Larisa Rybak and Andrei Turkin},
  journal={Journal of Global Optimization},
  year={2018},
  volume={71},
  pages={129-145}
}
In this paper we propose a method for solving systems of nonlinear inequalities with predefined accuracy based on nonuniform covering concept formerly adopted for global optimization. The method generates inner and outer approximations of the solution set. We describe the general concept and three ways of numerical implementation of the method. The first one is applicable only in a few cases when a minimum and a maximum of the constraints convolution function can be found analytically. The… CONTINUE READING

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  • 2018
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On the dependency problem when approximating a solution set of a system of nonlinear inequalities

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