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Estimates of the solution set of nonlinear equations with uncertain parameters

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Abstract

We consider the problem of determining the entire solution set of a system of nonlinear equations with interval coefficients. A decomposition method is proposed which produces an upper estimate of the sought solution as the union of convex sets. A numerical simulation example is described.

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Translated from Kibernetika, No. 5, pp. 38–43, 54, September–October, 1990.

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Kuntsevich, V.M., Nikitenko, A.S. Estimates of the solution set of nonlinear equations with uncertain parameters. Cybern Syst Anal 26, 668–677 (1990). https://doi.org/10.1007/BF01068547

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  • DOI: https://doi.org/10.1007/BF01068547

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