Reference : Global convergence of a non-convex Douglas-Rachford iteration
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Mathematics
http://hdl.handle.net/10993/10883
Global convergence of a non-convex Douglas-Rachford iteration
English
Aragón Artacho, Francisco Javier mailto [University of Luxembourg > Luxembourg Centre for Systems Biomedicine (LCSB) > >]
Borwein, J. M. [> >]
2013
Journal of Global Optimization
57
3
753-769
Yes
International
[en] projection algorithm ; Douglas Rachford algorithm ; global convergence
[en] We establish a region of convergence for the proto-typical non-convex Douglas–Rachford iteration which finds a point on the intersection of a line and a circle. Previous work on the non-convex iteration Borwein and Sims (Fixed-point algorithms for inverse problems in science and engineering, pp. 93–109, 2011) was only able to establish local convergence, and was ineffective in that no explicit region of convergence could be given.
Luxembourg Centre for Systems Biomedicine (LCSB): Systems Biochemistry (Fleming Group)
http://hdl.handle.net/10993/10883
10.1007/s10898-012-9958-4
http://www.scopus.com/inward/record.url?eid=2-s2.0-84863661508&partnerID=40&md5=19912175870a427c63943e07237a5e80

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