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Article information
2016 , Volume 21, ¹ 5, p.111-118
Shary S.P.
New characterizations of the solution set for interval systems of linear equations
This note presents new analytical characterizations for the solution set for interval linear equation systems, which are alternatives to the well-known Oettli - Pager inequality. The new characterizations have the form of vector inequalities involving interval magnitude function. Based on the new characterization, we introduce so-called recognizing functionals of the solution set that determine, for a given point, an aggregated quantitative measure on how the point is compatible (consistent) with the interval data of the system. The recognizing functionals prove to be useful in investigation of whether the solution set is empty or not, as well as in finding the points that possess some optimality properties with respect to the interval linear equation system, e. g., in data fitting problems under interval uncertainty.
[full text]
Keywords: interval linear equation, solution set, characterization, recognizing functional
Author(s):
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
References:
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Bibliography link:
Shary S.P. New characterizations of the solution set for interval systems of linear equations // Computational technologies. 2016. V. 21. ¹ 5. P. 111-118
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