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arXiv · 1401.7569

Transversality and alternating projections for nonconvex sets

D. Drusvyatskiy·A. D. Ioffe·A. S. Lewis
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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.

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D. Drusvyatskiy, A. D. Ioffe, A. S. Lewis. 2014-01-29. Transversality and alternating projections for nonconvex sets. https://doi.org/10.1007/s10208-015-9279-3

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