Geodesic
Finding sets of solutions to systems of nonlinear inequalities
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 57 (2017) no. 8, pp. 1248-1254 
Yu. G. Evtushenko; M. A. Posypkin; L. A. Rybak; A. V. Turkin. Finding sets of solutions to systems of nonlinear inequalities. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 57 (2017) no. 8, pp. 1248-1254. http://geodesic.mathdoc.fr/item/ZVMMF_2017_57_8_a1/
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     title = {Finding sets of solutions to systems of nonlinear inequalities},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2017_57_8_a1/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

The problem of approximating the set of all solutions to a system of nonlinear inequalities is studied. A method based on the concept of nonuniform coverings is proposed. It allows one to obtain an interior and exterior approximation of this set with a prescribed accuracy. The efficiency of the method is demonstrated by determining the workspace of a parallel robot.

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