# Solution Set Characterization of Linear Interval Systems with a Specific Dependence Structure

Solution Set Characterization of Linear Interval Systems with a Specific Dependence Structure This is a contribution to solvability of linear interval equations and inequalities. In interval analysis we usually suppose that values from different intervals are mutually independent. This assumption can be sometimes too restrictive. In this article we derive extensions of Oettli-Prager theorem and Gerlach theorem for the case where there is a simple dependence structure between coefficients of an interval system. The dependence is given by equality of two submatrices of the constraint matrix. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Reliable Computing Springer Journals

# Solution Set Characterization of Linear Interval Systems with a Specific Dependence Structure

, Volume 13 (4) – Jun 2, 2007
14 pages

/lp/springer_journal/solution-set-characterization-of-linear-interval-systems-with-a-xqjXLqNQYR
Publisher
Springer Journals
Subject
Mathematics; Numeric Computing; Mathematical Modeling and Industrial Mathematics; Approximations and Expansions; Computational Mathematics and Numerical Analysis
ISSN
1385-3139
eISSN
1573-1340
D.O.I.
10.1007/s11155-007-9033-x
Publisher site
See Article on Publisher Site

### Abstract

This is a contribution to solvability of linear interval equations and inequalities. In interval analysis we usually suppose that values from different intervals are mutually independent. This assumption can be sometimes too restrictive. In this article we derive extensions of Oettli-Prager theorem and Gerlach theorem for the case where there is a simple dependence structure between coefficients of an interval system. The dependence is given by equality of two submatrices of the constraint matrix.

### Journal

Reliable ComputingSpringer Journals

Published: Jun 2, 2007

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