Abstract
For the interval system of equations defined by [x] = [A][x]+[b]withρ(|[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.
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Arndt, HR., Mayer, G. On the Solutions of the Interval System [x] = [A][x] + [b]. Reliable Comput 11, 87–103 (2005). https://doi.org/10.1007/s11155-005-3031-7
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DOI: https://doi.org/10.1007/s11155-005-3031-7