paper

Transversality and alternating projections for nonconvex sets

arXiv:1401.7569 · doi:10.1007/s10208-015-9279-3

Abstract

We consider the method of alternating projections for finding a point in the intersection of two closed sets, possibly nonconvex. Assuming only the standard transversality condition (or a weaker version thereof), we prove local linear convergence. When the two sets are semi-algebraic and bounded, but not necessarily transversal, we nonetheless prove subsequence convergence.

16 pages

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