On the Solutions of the Interval System [x] = [A][x]+[b]

摘要

For the interval system of equations defined by [x] = [A][x]+[b] with ρ(|[A]|) ≥ 1 we derive a necessary and sufficient criterion for the existence and uniqueness of solutions [x]. Generalizing former results we allow the absolute value |[A]| of [A] to be reducible.