Cybernetics and Systems Analysis

, Volume 51, Issue 6, pp 896–904 | Cite as

Using the Interior Point Method to Find Normal Solutions to a System of Linear Algebraic Equations with Bilateral Constraints on Variables*

  • V. I. ZorkaltsevEmail author
  • S. M. Perzhabinsky
  • P. I. Stetsyuk


The authors consider primal interior point algorithms to find normal solutions to systems of linear equations with bilateral constraints on variables. Analyzing this problem and the methods of its solution is important to develop the theory of mathematical modeling (in particular, to solve power engineering problems) and to create efficient computational algorithms. The paper contains the results of experimental analysis of the algorithms using test problems and identifies the ways to accelerate the computational process.


system of linear algebraic equations (SLAE) interior point algorithms normal solution bilateral constraints on variables 


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Copyright information

© Springer Science+Business Media New York 2015

Authors and Affiliations

  • V. I. Zorkaltsev
    • 1
    Email author
  • S. M. Perzhabinsky
    • 1
  • P. I. Stetsyuk
    • 2
  1. 1.L. A. Melentiev Energy Systems InstituteSiberian Branch of the Russian Academy of SciencesIrkutskRussia
  2. 2.V. M. Glushkov Institute of CyberneticsNational Academy of Sciences of UkraineKyivUkraine

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