-

 

 

 




Optimization Online





 

On local convergence of the method of alternating projections

Dominikus Noll(Dominikus.Noll***at***wanadoo.fr)
Aude Rondepierre(Aude.Rondepierre***at***math.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: 12/19/2013
Entry Accepted: 12/19/2013
Entry Last Modified: 12/19/2013

Modify/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
Mathematical Optimization Society