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

B. N. Pshenichnyi

Institute of Cybernetics of Ukrainian SSR

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.

UDC: 518

Received: 23.07.1969

 English version: Mathematical Notes, 1970, 8:5, 827–830

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