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

Verfasser / Beitragende:
[V. Zorkaltsev, S. Perzhabinsky, P. Stetsyuk]
Ort, Verlag, Jahr:
2015
Enthalten in:
Cybernetics and Systems Analysis, 51/6(2015-11-01), 896-904
Format:
Artikel (online)
ID: 605518661
LEADER caa a22 4500
001 605518661
003 CHVBK
005 20210128100726.0
007 cr unu---uuuuu
008 210128e20151101xx s 000 0 eng
024 7 0 |a 10.1007/s10559-015-9782-1  |2 doi 
035 |a (NATIONALLICENCE)springer-10.1007/s10559-015-9782-1 
245 0 0 |a Using the Interior Point Method to Find Normal Solutions to a System of Linear Algebraic Equations with Bilateral Constraints on Variables*  |h [Elektronische Daten]  |c [V. Zorkaltsev, S. Perzhabinsky, P. Stetsyuk] 
520 3 |a 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. 
540 |a Springer Science+Business Media New York, 2015 
690 7 |a system of linear algebraic equations (SLAE)  |2 nationallicence 
690 7 |a interior point algorithms  |2 nationallicence 
690 7 |a normal solution  |2 nationallicence 
690 7 |a bilateral constraints on variables  |2 nationallicence 
700 1 |a Zorkaltsev  |D V.  |u L. A. Melentiev Energy Systems Institute, Siberian Branch of the Russian Academy of Sciences, Irkutsk, Russia  |4 aut 
700 1 |a Perzhabinsky  |D S.  |u L. A. Melentiev Energy Systems Institute, Siberian Branch of the Russian Academy of Sciences, Irkutsk, Russia  |4 aut 
700 1 |a Stetsyuk  |D P.  |u V. M. Glushkov Institute of Cybernetics, National Academy of Sciences of Ukraine, Kyiv, Ukraine  |4 aut 
773 0 |t Cybernetics and Systems Analysis  |d Springer US; http://www.springer-ny.com  |g 51/6(2015-11-01), 896-904  |x 1060-0396  |q 51:6<896  |1 2015  |2 51  |o 10559 
856 4 0 |u https://doi.org/10.1007/s10559-015-9782-1  |q text/html  |z Onlinezugriff via DOI 
898 |a BK010053  |b XK010053  |c XK010000 
900 7 |a Metadata rights reserved  |b Springer special CC-BY-NC licence  |2 nationallicence 
908 |D 1  |a research-article  |2 jats 
949 |B NATIONALLICENCE  |F NATIONALLICENCE  |b NL-springer 
950 |B NATIONALLICENCE  |P 856  |E 40  |u https://doi.org/10.1007/s10559-015-9782-1  |q text/html  |z Onlinezugriff via DOI 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Zorkaltsev  |D V.  |u L. A. Melentiev Energy Systems Institute, Siberian Branch of the Russian Academy of Sciences, Irkutsk, Russia  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Perzhabinsky  |D S.  |u L. A. Melentiev Energy Systems Institute, Siberian Branch of the Russian Academy of Sciences, Irkutsk, Russia  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Stetsyuk  |D P.  |u V. M. Glushkov Institute of Cybernetics, National Academy of Sciences of Ukraine, Kyiv, Ukraine  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Cybernetics and Systems Analysis  |d Springer US; http://www.springer-ny.com  |g 51/6(2015-11-01), 896-904  |x 1060-0396  |q 51:6<896  |1 2015  |2 51  |o 10559