Strong solvability of linear interval systems of inequalities with simple dependencies

Abstrakt

This paper is concerned with strong solvability of linear interval inequalities. In traditional interval analysis, we suppose that values from different intervals are mutually independent.

But this assumption can be sometimes too restrictive. We derive extensions of classical results for the case when there is a simple dependence structure between coefficients of an interval system.

The dependency is given by equality of two sub-matrices of the constraint matrix. We apply the approach to strong solvability of complex interval linear systems of inequalities.

Klíčová slova

• Interval matrix
• Strong solutions
• Linear interval inequalities
• Dependencies