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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 1990, Volume 30, Number 11, Pages 1638–1645 (Mi zvmmf3172)  
A new approach to the numerical solution of non-linear equations

N. S. Vasil'ev

Moscow
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Abstract: The approach is based on the projection of surfaces on to coordinate axes. The proposed algorithm takes account of the special properties of the functions occurring in the non-linear equations. These properties are convexity, separability, and monotonicity with respect to groups of variables or individual variables.
Received: 15.12.1989
English version:
USSR Computational Mathematics and Mathematical Physics, 1990, Volume 30, Issue 6, Pages 26–32
DOI: https://doi.org/10.1016/0041-5553(90)90105-2
Bibliographic databases:
Document Type: Article
UDC: 519.615.5
MSC: Primary 65H10; Secondary 65G30
Language: Russian
Citation: N. S. Vasil'ev, “A new approach to the numerical solution of non-linear equations”, Zh. Vychisl. Mat. Mat. Fiz., 30:11 (1990), 1638–1645; U.S.S.R. Comput. Math. Math. Phys., 30:6 (1990), 26–32
Citation in format AMSBIB
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\by N.~S.~Vasil'ev
\paper A~new approach to the numerical solution of non-linear equations
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 1990
\vol 30
\issue 11
\pages 1638--1645
\mathnet{http://mi.mathnet.ru/zvmmf3172}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=1093447}
\zmath{https://zbmath.org/?q=an:0719.65047}
\transl
\jour U.S.S.R. Comput. Math. Math. Phys.
\yr 1990
\vol 30
\issue 6
\pages 26--32
\crossref{https://doi.org/10.1016/0041-5553(90)90105-2}
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