On the consistency of linear and quadratic systems

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. © MAIK "Nauka/ Interperiodica" (Russia), 2006.

Authors
Arutyunov A.V. 1 , Kruglova E.V.2
Journal
Computational Mathematics and Mathematical Physics
Number of issue
4
Language
English
Pages
537-540
Status
Published
Link
External link
DOI
10.1134/S0965542506040014
Volume
46
Year
2006
Organizations
  • 1 Department of Differential Equations, Russian University of Peoples' Friendship, ul. Ordzhonikidze, Moscow, 117923, Russian Federation
  • 2 Faculty of Computational Mathematics and Cybernetics, Moscow State University, Leninskie gory, Moscow, 119992, Russian Federation
Keywords
Criterion for consistency; Linear inequalities; Optimal algorithm; Quadratic inequalities
Date of creation
19.10.2018
Date of change
19.10.2018
Short link
https://repository.rudn.ru/en/records/article/record/3380/
Share

Other records