The Cyclic Douglas–rachford Method for Inconsistent Feasibility Problems

نویسنده

  • JONATHAN M. BORWEIN
چکیده

We analyse the behaviour of the newly introduced cyclic Douglas–Rachford algorithm for finding a point in the intersection of a finite number of closed convex sets. This work considers the case in which the target intersection set is possibly empty. 1. Preliminaries and Notation Throughout we assume H is a (real) Hilbert space with inner product 〈·, ·〉 and induced norm ‖ · ‖. We use → (resp. w. ⇀) to denote norm (resp. weak) convergence. We consider the convex feasibility problem

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تاریخ انتشار 2013