Computational Complexity of Estimation of Generalized Solution Sets for Interval Linear Systems
نویسنده
چکیده
В работе исследуется вычислительная сложность задач распознавания и оценивания обобщенных множеств решений интервальных систем линейных алгебраических уравнений. Показано, что если матрица системы содержит “достаточно много” элементов с интервальной неопределенностью Е-типа, то задачи распознавания и оценивания множества решений такой системы уравнений являются NP-трудными. Напротив, если в интервальной матрице системы присутствует “не очень много” Е-неопределенных элементов и большинство элементов имеет А-тип неопределенности, то эти задачи являются полиномиально разрешимыми.
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