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arXiv · 2008.06314

A Note on the Finite Convergence of Alternating Projections

Hoa T. Bui·Ryan Loxton·Asghar Moeini
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Abstract

We establish sufficient conditions for finite convergence of the alternating projections method for two non-intersecting and potentially nonconvex sets. Our results are based on a generalization of the concept of intrinsic transversality, which until now has been restricted to sets with nonempty intersection. In the special case of a polyhedron and closed half space, our sufficient conditions define the minimum distance between the two sets that is required for alternating projections to converge in a single iteration.

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Hoa T. Bui, Ryan Loxton, Asghar Moeini. 2020-08-13. A Note on the Finite Convergence of Alternating Projections. https://arxiv.org/abs/2008.06314

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