# Noon lecture

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On 07.06.2007 at 12:20 in S5, there is the following noon lecture:

# Systems of linear equations inside given intervals

## Milan Hladík

## Abstract

We consider a system of linear equations $Ax=b$, where entries of $A$ and $b$ varies inside given intervals. In traditional interval analysis, all parameters are supposed to vary simultaneously and independently. However, in real-life problems, dependences between parameters is a common phenomenon. Including such dependences into interval computations is a big challenge. We show several kinds of the most frequent dependences and present solution set characterization by means of nonlinear inequalities.

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