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A locally polynomial method for solving a system of linear inequalities

Yuri Evtushenko

Yuri Evtushenko

Dorodnicyn Computing Centre of FRC CSC, Russian Academy of SciencesMoscow, Russia
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Evtushenko, Yuri
, 
Krzysztof Szkatuła

Krzysztof Szkatuła

  • Siedlce University of Natural Sciences and Humanities, Faculty of ScienceSiedlce, Poland
  • Systems Research Institute, Polish Academy of SciencesWarszawa, Poland
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Szkatuła, Krzysztof
 and 
Alexey Tretyakov

Alexey Tretyakov

  • Siedlce University of Natural Sciences and Humanities, Faculty of ScienceSiedlce, Poland
  • Systems Research Institute, Polish Academy of SciencesWarszawa, Poland
  • Dorodnicyn Computing Centre of FRC CSC, Russian Academy of SciencesMoscow, Russia
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Tretyakov, Alexey
  
Jun 28, 2022
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Published Online: Jun 28, 2022
Page range: 301 - 314
Received: Apr 01, 2021
Accepted: Jun 01, 2021
DOI: https://doi.org/10.2478/candc-2021-0015
Keywords
© 2021 Yuri Evtushenko et al., published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

The paper proposes a method for solving systems of linear inequalities. This method determines in a finite number of iterations whether the given system of linear ineqalities has a solution. If it does, the solution for the given system of linear inequalities is provided. The computational complexity of the proposed method is locally polynomial.

Language:
English
Publication timeframe:
4 times per year
Journal Subjects:
Computer Sciences, Computer Sciences, other, Engineering, Electrical Engineering, Fundamentals of Electrical Engineering, Mechanical Engineering, Fundamentals of Mechanical Engineering, Mathematics, General Mathematics
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