80 citations · 471 across the 28 of their papers we have counts for
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math.OC2015★ 53 cited
Convergence rate analysis for averaged fixed point iterations in the presence of Hölder regularity
Jonathan M. Borwein, Guoyin Li, Matthew K. Tam
In this paper, we establish sublinear and linear convergence of fixed point iterations generated by averaged operators in a Hilbert space. Our results are achieved under a bounded…
math.OC2015★ 31 cited
Global Behavior of the Douglas-Rachford Method for a Nonconvex Feasibility Problem
Francisco J. Aragón Artacho, Jonathan M. Borwein, Matthew K. Tam
In recent times the Douglas-Rachford algorithm has been observed empirically to solve a variety of nonconvex feasibility problems including those of a combinatorial nature. For man…