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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2008, Volume 48, Number 4, Pages 562–569
(Mi zvmmf148)
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This article is cited in 3 scientific papers (total in 3 papers)
Linear interval equations with symmetric solution sets
L. T. Ashchepkov Institute of Applied Mathematics, Far East Division, Russian Academy of Sciences, ul. Radio 7, Vladivostok, 690041, Russia
Abstract:
Criteria for symmetry and boundedness are found for the combined solution set of a system of linear algebraic equations with interval coefficients. It is shown that the problem of the best inner interval estimation of a symmetric solution set can be exactly solved by linear programming methods.
Key words:
linear interval equations, criterion for symmetry, boundedness of the combined solution set of a linear program.
Received: 03.04.2007
Citation:
L. T. Ashchepkov, “Linear interval equations with symmetric solution sets”, Zh. Vychisl. Mat. Mat. Fiz., 48:4 (2008), 562–569; Comput. Math. Math. Phys., 48:4 (2008), 531–538
Linking options:
https://www.mathnet.ru/eng/zvmmf148 https://www.mathnet.ru/eng/zvmmf/v48/i4/p562
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Abstract page: | 344 | Full-text PDF : | 198 | References: | 41 | First page: | 3 |
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