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Linear interval equations with symmetric solution sets

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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.

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Authors and Affiliations

  1. Institute of Applied Mathematics, Far East Division, Russian Academy of Sciences, ul. Radio 7, Vladivostok, 690041, Russia

    L. T. Ashchepkov

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  1. L. T. Ashchepkov
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Correspondence to L. T. Ashchepkov.

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Original Russian Text © L.T. Ashchepkov, 2008, published in Zhurnal Vychislitel’noi Matematiki i Matematicheskoi Fiziki, 2008, Vol. 48, No. 4, pp. 562–569.

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Ashchepkov, L.T. Linear interval equations with symmetric solution sets. Comput. Math. and Math. Phys. 48, 531–538 (2008). https://doi.org/10.1134/S0965542508040027

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  • DOI: https://doi.org/10.1134/S0965542508040027

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