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Newton's method for the solution of systems of equalities and inequalities

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Abstract

An algorithm is constructed generalizing Newton's method to apply to the solution of systems of nonlinear equations and inequalities. It is proved that the convergence of the algorithm is of the second order.

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Authors and Affiliations

  1. Cybernetics Institute, Academy of Sciences of the Ukrainian SSR, USSR

    B. N. Pshenichnyi

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  1. B. N. Pshenichnyi
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Translated from Matematicheskie Zametki, Vol. 8, No. 5, pp. 635–640, November, 1970.

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Pshenichnyi, B.N. Newton's method for the solution of systems of equalities and inequalities. Mathematical Notes of the Academy of Sciences of the USSR 8, 827–830 (1970). https://doi.org/10.1007/BF01146940

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  • DOI: https://doi.org/10.1007/BF01146940

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