Transversality and Alternating Projections for Nonconvex Sets

نویسندگان

  • Dmitriy Drusvyatskiy
  • Alexander D. Ioffe
  • Adrian S. Lewis
چکیده

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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عنوان ژورنال:
  • Foundations of Computational Mathematics

دوره 15  شماره 

صفحات  -

تاریخ انتشار 2015