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

作者：Giladi Ohad^*

来源：Set-Valued and Variational Analysis, 2018, 26(2): 207-225.

DOI：10.1007/s11228-018-0477-4

• Douglas-Rachford iteration
• Lyapunov function
• KL-stability

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.

• 出版日期2018-6