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Matematicheskie Zametki, 1970, Volume 8, Issue 5, Pages 635–640 (Mi mzm7011)  
This article is cited in 20 scientific papers (total in 20 papers)

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

B. N. Pshenichnyi

Institute of Cybernetics of Ukrainian SSR
Full-text PDF (406 kB) Citations (20)
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.
Received: 23.07.1969
English version:
Mathematical Notes, 1970, Volume 8, Issue 5, Pages 827–830
DOI: https://doi.org/10.1007/BF01146940
Bibliographic databases:
UDC: 518
Language: Russian
Citation: B. N. Pshenichnyi, “Newton's method for the solution of systems of equalities and inequalities”, Mat. Zametki, 8:5 (1970), 635–640; Math. Notes, 8:5 (1970), 827–830
Citation in format AMSBIB
\Bibitem{Psh70}
\by B.~N.~Pshenichnyi
\paper Newton's method for the solution of systems of equalities and inequalities
\jour Mat. Zametki
\yr 1970
\vol 8
\issue 5
\pages 635--640
\mathnet{http://mi.mathnet.ru/mzm7011}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=278513}
\zmath{https://zbmath.org/?q=an:0218.65019|0214.41101}
\transl
\jour Math. Notes
\yr 1970
\vol 8
\issue 5
\pages 827--830
\crossref{https://doi.org/10.1007/BF01146940}
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  • https://www.mathnet.ru/eng/mzm/v8/i5/p635
    • This publication is cited in the following 20 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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