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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2006, Volume 46, Number 4, Pages 563–567 (Mi zvmmf478)  
On the consistency of linear and quadratic systems

A. V. Arutyunova, E. V. Kruglovab

a Department of Differential Equations, Russian University of Peoples' Friendship, ul. Ordzhonikidze, Moscow, 117923, Russia
b Faculty of Computational Mathematics and Cybernetics, Moscow State University, Leninskie gory, Moscow, 119992, Russia
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Abstract: A system of linear inhomogeneous inequalities is examined. An algorithm is presented for isolating all the consistent subsystems in this system that are maximal with respect to inclusion, and justification of this algorithm is given. A criterion for the consistency of a system of quadratic inhomogeneous equations and inequalities is proposed.
Key words: linear inequalities, quadratic inequalities, criterion for consistency,optimal algorithm.
Received: 31.03.2005
Revised: 03.11.2005
English version:
Computational Mathematics and Mathematical Physics, 2006, Volume 46, Issue 4, Pages 537–540
DOI: https://doi.org/10.1134/S0965542506040014
Bibliographic databases:
Document Type: Article
UDC: 519.612
Language: Russian
Citation: A. V. Arutyunov, E. V. Kruglova, “On the consistency of linear and quadratic systems”, Zh. Vychisl. Mat. Mat. Fiz., 46:4 (2006), 563–567; Comput. Math. Math. Phys., 46:4 (2006), 537–540
Citation in format AMSBIB
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\transl
\jour Comput. Math. Math. Phys.
\yr 2006
\vol 46
\issue 4
\pages 537--540
\crossref{https://doi.org/10.1134/S0965542506040014}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33746068585}
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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