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Parameterized outer estimation of AE-solution sets to parametric interval linear systems

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  • Popova, Evgenija D.

Abstract

We consider linear algebraic equations, where the elements of the matrix and of the right-hand side vector are linear functions of interval parameters, and their parametric AE-solution sets, which are defined by applying universal and existential quantifiers to the interval parameters. Usually, interval methods find numerical interval vector that contains an AE-solution set.

Suggested Citation

  • Popova, Evgenija D., 2017. "Parameterized outer estimation of AE-solution sets to parametric interval linear systems," Applied Mathematics and Computation, Elsevier, vol. 311(C), pages 353-360.
    • Handle: RePEc:eee:apmaco:v:311:y:2017:i:c:p:353-360
    DOI: 10.1016/j.amc.2017.05.042
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    References listed on IDEAS

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    1. Hladík, Milan & Popova, Evgenija D., 2015. "Maximal inner boxes in parametric AE-solution sets with linear shape," Applied Mathematics and Computation, Elsevier, vol. 270(C), pages 606-619.
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    Cited by:

    1. Popova, Evgenija D., 2020. "New parameterized solution with application to bounding secondary variables in FE models of structures," Applied Mathematics and Computation, Elsevier, vol. 378(C).
    2. Leela-apiradee, Worrawate & Gorka, Artur & Burimas, Kanokwan & Thipwiwatpotjana, Phantipa, 2022. "Tolerance-localized and control-localized solutions of interval linear equations system and their application to course assignment problem," Applied Mathematics and Computation, Elsevier, vol. 421(C).

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