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2016

On Local Convergence of the Method of Alternating Projections

3 years 17 days ago
On Local Convergence of the Method of Alternating Projections
The method of alternating projections is a classical tool to solve feasibility problems. Here we prove local convergence of alternating projections between subanalytic sets A, B under a mild regularity hypothesis on one of the sets. We show that the speed of convergence is O(k−ρ) for some ρ ∈ (0, ∞). Key words. Alternating projections · local convergence · subanalytic set · sets intersecting separably · sets intersecting tangentially · constraint qualification · Hölder regularity AMS Classification. Primary: 65K10. Secondary: 90C30, 32B20, 47H04, 49J52
Dominikus Noll, Aude Rondepierre
Added 03 Apr 2016
Updated 03 Apr 2016
Type Journal
Year 2016
Where FOCM
Authors Dominikus Noll, Aude Rondepierre
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