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Regularity of collections of sets and convergence of inexact alternating projections

Alexander Y. Kruger (a.kruger***at***federation.edu.au)
Nguyen H. Thao (nhthao***at***ctu.edu.vn)

Abstract: We study the usage of regularity properties of collections of sets in convergence analysis of alternating projection methods for solving feasibility problems. Several equivalent characterizations of these properties are provided. Two settings of inexact alternating projections are considered and the corresponding convergence estimates are established and discussed.

Keywords: Alternating projections, uniform regularity, normal cone, subdifferential

Category 1: Convex and Nonsmooth Optimization (Nonsmooth Optimization )


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Entry Submitted: 01/17/2015
Entry Accepted: 01/18/2015
Entry Last Modified: 03/06/2015

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