Quality of the Solution Sets of Parameter-Dependent Interval Linear Systems
Evgenija D. Popova · ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik · 2002
Consider linear systems whose matrix and right-hand side vector depend affine-linearly on parameters varying within prescribed bounds. We present some sufficient conditions under which the interval hull (or some bounds) of the solution set of a parametrised interval linear system coincides with the interval hull (or bounds) of the non-parametric interval linear system corresponding to the parametric one.