# On Unbounded Tolerable Solution Sets

@article{Sharaya2005OnUT, title={On Unbounded Tolerable Solution Sets}, author={Irene A. Sharaya}, journal={Reliable Computing}, year={2005}, volume={11}, pages={425-432} }

- Published 2005 in Reliable Computing
DOI:10.1007/s11155-005-0049-9

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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## Solving the Linear Interval Tolerance Problem, Mathematics and Computers in Simulation

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## Interval Methods for Systems of Equations

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## Solution of Interval Algebraic Tolerance Problem

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