On the local convergence of the Douglas-Rachford algorithm

J. Douglas, H.H. Rachford. On the numerical solution of heat conduction problems in two or three space variables, Transactions of the AMS 82 (1956), 421–439

1956

Earlier work this paper cites.

P.-L. Lions, B. Mercier. Splitting algorithms for the sum of two nonlinear operators. SIAM Journal on Numerical Analysis 16 (1979), 964–979

1979

Earlier work this paper cites.

L. Elsner, I. Koltracht, M. Neumann. Convergence of sequential and asynchronous nonlinear paracontractions, Numerische Mathematik 62 (1992), 305–319

1992

Earlier work this paper cites.

H.H. Bauschke, P.L. Combettes, D.R. Luke. Finding best approximation pairs relative to two closed convex sets in Hilbert spaces. Journal of Approximation Theory 127 (2004), 178–192

2004

Earlier work this paper cites.

V. Elser, I. Rankenburg, P. Thibault. Searching with iterated maps, Proceedings of the National Academy of the U.S.A. 104(2) (2007), 418–423

2007

Cited alongside, same era.

H.H. Bauschke, P.L. Combettes. Convex Analysis and Monotone Operator Theory in Hilbert Space , Springer, 2011

2011

Cited alongside, same era.

F.J. Aragón Artacho, J.M. Borwein, M.K. Tam. Recent results on Douglas–Rachford methods. Serdica Mathematical Journal 39 (2013), 313–330

2013

Cited alongside, same era.

H.H. Bauschke, D. Noll. On cluster points of alternating projections. Serdica Mathematical Journal

2013

Cited alongside, same era.

H.H. Bauschke, V.R. Koch. Projection methods: Swiss Army knives for solving feasibility and best approximation problems with halfspaces. Contemporary Mathematics , in press

Cited in the paper.

http://www.geogebra.org/cms/en/

Cited in the paper.

R. Hesse, D.R. Luke. Nonconvex notions of regularity and convergence of fundamental algorithms for feasibility problems, SIAM Journal on Optimization 23(4) (2013), 2397–2419

2013

Later among the works it cites.

R. Hesse, D.R. Luke, P. Neumann. Projection methods for sparse affine feasibility: results and counterexamples, arXiv:1307.2009v1 [math.OC] 8 Jul 2013

Original

2013

Later among the works it cites.

D. Noll, A. Rondepierre. On local convergence of the method of alternating projections. arXiv:1312.5681v1 [math.OC] 19 Dec 2013]

Original

2013

Later among the works it cites.