Title
Perturbation Analysis of Error Bounds for Systems of Conic Linear Inequalities in Banach Spaces
Abstract
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 Zheng123624.17
Kung Fu Ng231127.85