caa a22 4500 605518661 CHVBK 20210128100726.0 cr unu---uuuuu 210128e20151101xx s 000 0 eng 10.1007/s10559-015-9782-1 doi (NATIONALLICENCE)springer-10.1007/s10559-015-9782-1 Using the Interior Point Method to Find Normal Solutions to a System of Linear Algebraic Equations with Bilateral Constraints on Variables* [Elektronische Daten] [V. Zorkaltsev, S. Perzhabinsky, P. 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. Springer Science+Business Media New York, 2015 system of linear algebraic equations (SLAE) nationallicence interior point algorithms nationallicence normal solution nationallicence bilateral constraints on variables nationallicence Zorkaltsev V. L. A. Melentiev Energy Systems Institute, Siberian Branch of the Russian Academy of Sciences, Irkutsk, Russia aut Perzhabinsky S. L. A. Melentiev Energy Systems Institute, Siberian Branch of the Russian Academy of Sciences, Irkutsk, Russia aut Stetsyuk P. V. M. Glushkov Institute of Cybernetics, National Academy of Sciences of Ukraine, Kyiv, Ukraine aut Cybernetics and Systems Analysis Springer US; http://www.springer-ny.com 51/6(2015-11-01), 896-904 1060-0396 51:6<896 2015 51 10559 https://doi.org/10.1007/s10559-015-9782-1 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10559-015-9782-1 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Zorkaltsev V. L. A. Melentiev Energy Systems Institute, Siberian Branch of the Russian Academy of Sciences, Irkutsk, Russia aut NATIONALLICENCE 700 1- Perzhabinsky S. L. A. Melentiev Energy Systems Institute, Siberian Branch of the Russian Academy of Sciences, Irkutsk, Russia aut NATIONALLICENCE 700 1- Stetsyuk P. V. M. Glushkov Institute of Cybernetics, National Academy of Sciences of Ukraine, Kyiv, Ukraine aut NATIONALLICENCE 773 0- Cybernetics and Systems Analysis Springer US; http://www.springer-ny.com 51/6(2015-11-01), 896-904 1060-0396 51:6<896 2015 51 10559