- Title
- A Remark on the Convergence of the Douglas-Rachford Iteration in a Non-convex Setting
- Creator
- Giladi, Ohad
- Relation
- ARC.DP160101537 http://purl.org/au-research/grants/arc/DP160101537
- Relation
- Set-Valued and Variational Analysis Vol. 26, Issue 2, p. 207-225
- Publisher Link
- http://dx.doi.org/10.1007/s11228-018-0477-4
- Publisher
- Springer
- Resource Type
- journal article
- Date
- 2018
- Description
- 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.
- Subject
- Douglas-Rachford iteration; Lyapunov function; KL-stability; convergence
- Identifier
- http://hdl.handle.net/1959.13/1446468
- Identifier
- uon:42879
- Identifier
- ISSN:1877-0533
- Language
- eng
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