Perturbation analysis of global error bounds for systems of linear inequalities

@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}
}
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