Title | ||
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Perturbation Analysis of Error Bounds for Systems of Conic Linear Inequalities in Banach Spaces |
Abstract | ||
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For a general (constrained or unconstrained) system of conic inequalities, we provide sufficient conditions to ensure the existence of a common error bound for each of the systems obtained from the original one when the given data undergoes a small perturbation. Moreover, we also give some dual characterizations on the existence of error bounds for systems of conic inequalities. |
Year | DOI | Venue |
---|---|---|
2005 | 10.1137/03060179X | SIAM Journal on Optimization |
Keywords | Field | DocType |
conic linear inequalities,sufficient condition,error bounds,perturbation analysis,small perturbation,dual characterization,conic inequality,error bound,banach spaces,common error,banach space,normal cone,stability | Mathematical optimization,Perturbation theory,Banach space,Conic optimization,Conic section,Linear inequality,Mathematics,Perturbation (astronomy),Convex cone | Journal |
Volume | Issue | ISSN |
15 | 4 | 1052-6234 |
Citations | PageRank | References |
7 | 0.56 | 5 |
Authors | ||
2 |
Name | Order | Citations | PageRank |
---|---|---|---|
Xi Yin Zheng | 1 | 236 | 24.17 |
Kung Fu Ng | 2 | 311 | 27.85 |