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A New Method for Inner Estimation of Solution Sets to Interval Linear Systems

  • Sergey P. Shary
Chapter
Part of the Mathematical Engineering book series (MATHENGIN, volume 3)

Abstract

For an interval system of linear equations Ax = b, we consider the problem of inner estimation of its solution set, formed by all the solutions to point systems Ax= b with AA and bb. The so-called “center approach” to the problem is developed when the inner interval box is constructed around an a priori known center point from the solution set. Determining the size of the inner box is shown to be reduced to a maximization problem for a special quasiconcave objective function.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  1. 1.Institute of Computational Technologies SB RASNovosibirskRussia

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