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math.OC2018
On the convergence rate improvement of a splitting method for finding the resolvent of the sum of maximal monotone operators
Shin-ya Matsushita
This paper provides a new way of developing the splitting method which is used to solve the problem of finding the resolvent of the sum of maximal monotone operators in Hilbert spa…
math.OC2016
Convergence analysis of variants of the averaged alternating modified reflections method
Shin-ya Matsushita
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…