- On local convergence of the method of alternating projections Dominikus Noll(Dominikus.Nollwanadoo.fr) Aude Rondepierre(Aude.Rondepierremath.univ-toulouse.fr) Abstract: The method of alternating projections is a classical tool to solve feasibility problems. Here we prove local convergence of alternating projections between subanalytic sets A,B under a mild regularity hypothesis on one of the sets. We show that the speed of convergence is O$(k^{-\rho})$ for some $\rho\in(0,\infty)$. Keywords: Alternating projections,local convergence, subanalytic set, sets intersecting separably, sets intersecting tangentially, constraint qualification, Hölder regularity Category 1: Convex and Nonsmooth Optimization (Other ) Citation: Université de Toulouse, Institut de Mathématiques, december 19, 2013 Download: [PDF]Entry Submitted: 12/19/2013Entry Accepted: 12/19/2013Entry Last Modified: 12/19/2013Modify/Update this entry Visitors Authors More about us Links Subscribe, Unsubscribe Digest Archive Search, Browse the Repository Submit Update Policies Coordinator's Board Classification Scheme Credits Give us feedback Optimization Journals, Sites, Societies Optimization Online is supported by the Mathematical Optmization Society.