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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2013, Volume 16, Number 3, Pages 229–242 (Mi sjvm513)  
Minimization of nonlinear functions with linear constraints

G. I. Zabinyako, E. A. Kotel'nikov

Institute of Computational Mathematics and Mathematical Geophysics (Computing Center), Siberian Branch of the Russian Academy of Sciences, Novosibirsk
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Abstract: In this paper, some aspects of numerical realization of algorithms from the software package for solving problems of minimization of nonlinear functions including non-smooth functions with allowance for the linear constraints set by sparse matrices are considered. Examples of the solution of test problems are presented.
Key words: nonlinear programming, reduced gradient, method of conjugate gradients, quasi-Newton method, subgradient method, basis, superbasis.
Received: 23.01.2012
Revised: 31.05.2012
English version:
Numerical Analysis and Applications, 2013, Volume 6, Issue 3, Pages 197–209
DOI: https://doi.org/10.1134/S1995423913030038
Bibliographic databases:
Document Type: Article
UDC: 519.853.32
Language: Russian
Citation: G. I. Zabinyako, E. A. Kotel'nikov, “Minimization of nonlinear functions with linear constraints”, Sib. Zh. Vychisl. Mat., 16:3 (2013), 229–242; Num. Anal. Appl., 6:3 (2013), 197–209
Citation in format AMSBIB
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\by G.~I.~Zabinyako, E.~A.~Kotel'nikov
\paper Minimization of nonlinear functions with linear constraints
\jour Sib. Zh. Vychisl. Mat.
\yr 2013
\vol 16
\issue 3
\pages 229--242
\mathnet{http://mi.mathnet.ru/sjvm513}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3380124}
\transl
\jour Num. Anal. Appl.
\yr 2013
\vol 6
\issue 3
\pages 197--209
\crossref{https://doi.org/10.1134/S1995423913030038}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84884150759}
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