- Title
- Set regularities and feasibility problems
- Creator
- Kruger, Alexander; Luke, Russell; Thao, Nguyen
- Date
- 2018
- Type
- Text; Journal article
- Identifier
- http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/165248
- Identifier
- vital:13237
- Identifier
-
https://doi.org/10.1007/s10107-016-1039-x
- Identifier
- ISBN:0025-5610
- Abstract
- We synthesize and unify notions of regularity, both of individual sets and of collections of sets, as they appear in the convergence theory of projection methods for consistent feasibility problems. Several new characterizations of regularities are presented which shed light on the relations between seemingly different ideas and point to possible necessary conditions for local linear convergence of fundamental algorithms
- Publisher
- Springer Verlag
- Relation
- Mathematical Programming Vol. 168, no. 1-2 (2018), p. 279-311; http://purl.org/au-research/grants/arc/DP160100854
- Rights
- Copyright © 2016, Springer-Verlag Berlin Heidelberg and Mathematical Optimization Society.
- Rights
- Open Access
- Rights
- This metadata is freely available under a CCO license
- Subject
- 0102 Applied Mathematics; 0103 Numerical and Computational Mathematics; 0802 Computation Theory and Mathematics; Alternating projections; CHIP; Clarke regularity; Douglas-Rachford; Holder regularity; Metric regularity; Normal cone; Normal qualification condition; Prox-regularity; Transverslity; Weak-sharp minima
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