Projections onto convex sets: Difference between revisions

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It has long been known to converge globally.<ref>A. Auslender. Methodes Numeriques pour la Resolution des Problems

d’Optimisation avec Constraintes. PhD thesis, Faculte des Sciences, Grenoble, 1969</ref> Furthermore, the method is easy to generalize to more than two sets; some convergence results for this case are in.<ref>Local convergence for alternating and averaged nonconvex projections. A Lewis, R Luke, J Malick, 2007. [httphttps://arxiv.org/abs/0709.0109 arXiv]</ref>

The ''averaged'' projections method can be reformulated as ''alternating'' projections method using a standard trick. Consider the set