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Introduction to Interval Analysis
- Publisher
- Springer Berlin Heidelberg
- Copyright
- © Springer-Verlag Berlin Heidelberg 2011
- ISBN
- 978-3-642-15955-8
- Pages
- 21 –42
- DOI
- 10.1007/978-3-642-15956-5_2
- Publisher site
- See Chapter on Publisher Site
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 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.]
Published: May 13, 2011