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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2010, Volume 13, Number 2, Pages 161–181 (Mi sjvm275)  
A strongly-polynomial algorithm for solving the general problem of least modules

V. V. Mironov

Ryazan State Radio Engineering University, Ryazan
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Abstract: The algorithm of polynomial algebraic complexity (a strongly-polynomial algorithm) to solve a classical problem of mathematical programming concerning minimization of the weighted sum of modules of part of variables with linear constraints (equalities imposed on all variables) has been substantiated. The algorithm is given in its explicit form. The estimation of the algorithm complexity is presented. The simulation has been carried out.
Key words: algorithm, complexity of algorithm, least modules.
Received: 24.09.2008
Revised: 11.06.2009
English version:
Numerical Analysis and Applications, 2010, Volume 3, Issue 2, Pages 133–150
DOI: https://doi.org/10.1134/S1995423910020035
Bibliographic databases:
Document Type: Article
UDC: 510.52
Language: Russian
Citation: V. V. Mironov, “A strongly-polynomial algorithm for solving the general problem of least modules”, Sib. Zh. Vychisl. Mat., 13:2 (2010), 161–181; Num. Anal. Appl., 3:2 (2010), 133–150
Citation in format AMSBIB
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\by V.~V.~Mironov
\paper A strongly-polynomial algorithm for solving the general problem of least modules
\jour Sib. Zh. Vychisl. Mat.
\yr 2010
\vol 13
\issue 2
\pages 161--181
\mathnet{http://mi.mathnet.ru/sjvm275}
\transl
\jour Num. Anal. Appl.
\yr 2010
\vol 3
\issue 2
\pages 133--150
\crossref{https://doi.org/10.1134/S1995423910020035}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-77953524215}
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