- Title
- Stability in linear optimization and related topics. A personal tour
- Creator
- López, Marco
- Date
- 2012
- Type
- Text; Journal article
- Identifier
- http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/165970
- Identifier
- vital:13381
- Identifier
-
https://doi.org/10.1007/s11750-011-0213-9
- Identifier
- ISBN:1134-5764
- Abstract
- This paper is a kind of biased survey of the most representative and recent results on stability for the linear optimization problem. Qualitative and quantitative approaches are considered in this survey, and some infinite-dimensional extensions of the main results to more general problems are also included. In particular the paper deals with the lower/upper semicontinuity of the feasible/optimal set mappings, different types of ill-posedness, distance to ill-posedness, Lipschitz properties of these mappings under different types of perturbations, and estimates of the associated Lipschitz bounds.
- Publisher
- Springer Verlag
- Relation
- TOP Vol. 20, no. 2 (2012), p. 217-244; http://purl.org/au-research/grants/arc/DP110102011
- Rights
- Copyright © 2011 Sociedad de Estadística e Investigación Operativa.
- Rights
- This metadata is freely available under a CCO license
- Subject
- 0102 Applied Mathematics; 0103 Numerical and Computational Mathematics; Feasible and optimal set mappings; Ill-posedness; Infinitely constrained optimization; Lipschitz properties of mappings; Stability
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