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Erschienen in:
2011 | OriginalPaper | Buchkapitel
A New Method for Inner Estimation of Solution Sets to Interval Linear Systems
verfasst von : Sergey P. Shary
Erschienen in: Modeling, Design, and Simulation of Systems with Uncertainties
Verlag: Springer Berlin Heidelberg
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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
A
∈
A
and
b
∈
b
. 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.