In this paper, we show how it is possible to use convex polyhedra for solving linear interval systems without using preconditioning. We first show how to derive, from an enclosure of □ Σ (( A ), ( b )), a polyhedron which contains the convex hull of the solution set. Then, a simplex-like method enables us to find a new outer inclusion. Moreover, the constraints obtained may be used to compute an inner inclusion of □ Σ (( A ), ( b )).
Linear Algebra and its Applications – Elsevier
Published: Sep 15, 1998
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