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Article information
2009 , Volume 14, ¹ 3, p.104-123
Sharaya I.A., Shary S.P.
A tolerable solution set for interval linear systems with tied coefficients
We develop a technique for computing a tolerable solution set for an interval linear system with a convex polyhedral tie between coefficients. The tolerable solution set in the above problem is proved to be an intersection of a finite number of hyperstripes, i.e. solution set to a finite system of two-sided non-strict linear inequalities. Simplified variants of the general method are proposed for some specific ties between coefficients.
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Keywords: interval linear system, tolerable solution set, tied parameters
Author(s):
Sharaya Irene Alexandrovna
Position: Research Scientist
Office: Institute of Computational Technologies SB RAS
Address: 630090, Russia, Novosibirsk, Ac. Lavrentiev ave, 6
E-mail: sharia@ict.nsc.ru
Shary Sergey Petrovich
Dr. , Senior Scientist
Position: Leading research officer
Office: Institute of Computational Technologies SB RAS
Address: 630090, Russia, Novosibirsk, Ac. Lavrentiev ave, 6
Phone Office: (3832) 30 86 56
E-mail: shary@ict.nsc.ru
Bibliography link:
Sharaya I.A., Shary S.P. A tolerable solution set for interval linear systems with tied coefficients // Computational technologies. 2009. V. 14. ¹ 3. P. 104-123
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