On Unbounded Tolerable Solution Sets

  title={On Unbounded Tolerable Solution Sets},
  author={Irene A. Sharaya},
  journal={Reliable Computing},
We prove that the nonempty tolerable solution set of the interval linear system Ax = b is unbounded if and only if the interval matrix of the system has linearly dependent degenerate columns. Also, we prove that the tolerable solution set may be represented as a sum of the linear subspace {c  R | Ac = 0} and a bounded convex polyhedron and propose a way for suitable estimation of unbounded tolerable solution sets. 

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