A Remark on the Convergence of the Douglas–Rachford Iteration in a Non-convex Setting

被引：0
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作者：
Ohad Giladi
机构：
[1] University of Newcastle,School of Mathematical and Physical Sciences
来源：
Set-Valued and Variational Analysis | 2018年 / 26卷
关键词：
Douglas–Rachford iteration; Lyapunov function; -stability; 49N60; 47J25; 39A22;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Using a known construction of a Lyapunov function, it is shown that the Douglas–Rachford iteration with respect to a sphere and a line in a Hilbert space converges to the intersection point in a fashion which is stronger than uniform convergence on compact sets.
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页码：207 / 225
页数：18
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