Iterating Bregman Retractions
نویسندگان
چکیده
The notion of a Bregman retraction of a closed convex set in Euclidean space is introduced. Bregman retractions include backward Bregman projections, forward Bregman projections, as well as their convex combinations, and are thus quite flexible. The main result on iterating Bregman retractions unifies several convergence results on projection methods for solving convex feasibility problems. It is also used to construct new sequential and parallel algorithms.
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عنوان ژورنال:
- SIAM Journal on Optimization
دوره 13 شماره
صفحات -
تاریخ انتشار 2003