caa a22 4500 475769767 CHVBK 20180406123616.0 cr unu---uuuuu 170329e20000801xx s 000 0 eng 10.1007/s101070050017 doi (NATIONALLICENCE)springer-10.1007/s101070050017 Hu H. Department of Mathematical Sciences, Northern Illinois University, DeKalb, IL 60115, USA, e-mail: hu@math.niu.edu, US aut Perturbation analysis of global error bounds for systems of linear inequalities [Elektronische Daten] [H. Hu] Abstract. : 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 has a strict solution. Springer-Verlag Berlin Heidelberg, 2000 Key words: global error bounds - infinite and finite systems of linear inequalities - residual functions nationallicence Mathematical Programming Springer-Verlag 88/2(2000-08-01), 277-284 0025-5610 88:2<277 2000 88 10107 https://doi.org/10.1007/s101070050017 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s101070050017 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Hu H. Department of Mathematical Sciences, Northern Illinois University, DeKalb, IL 60115, USA, e-mail: hu@math.niu.edu, US aut NATIONALLICENCE 773 0- Mathematical Programming Springer-Verlag 88/2(2000-08-01), 277-284 0025-5610 88:2<277 2000 88 10107 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer