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@article{Hu2000PerturbationAO, title={Perturbation analysis of global error bounds for systems of linear inequalities}, author={Hui Hu}, journal={Math. Program.}, year={2000}, volume={88}, pages={277-284} }

- Published 2000 in Math. Program.
DOI:10.1007/s101070050017

This paper studies the existence of a uniform global error bound when a system of linear inequalities is under local arbitrary perturbations. Specifically, given a possibly infinite system of linear inequalities satisfying the Slater’s condition and a certain compactness condition, it is shown that for sufficiently small arbitrary perturbations the perturbed system is solvable and there exists a uniform global error bound if and only if the original system is bounded or its homogeneous system… CONTINUE READING