Convergence analysis of variants of the averaged alternating modified   reflections method
  This paper presents new variants of the averaged alternating modified reflections (AAMR) method for the best approximation problem. Under a mild constraint qualification, we first show its weak convergence and then establish a convergence rate. Furthermore, under a standard interior-point-like condition, we show that the method has a finite termination property. 
Shin-ya Matsushita
math.OC