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ON LOCAL CONVERGENCE OF THE METHOD OF ALTERNATING PROJECTIONS

Abstract : 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, ∞).
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  • HAL Id : hal-01807098, version 1

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Dominikus Noll, Aude Rondepierre. ON LOCAL CONVERGENCE OF THE METHOD OF ALTERNATING PROJECTIONS. Foundations of Computational Mathematics, Springer Verlag, 2016, 16 (2), pp 425-455. ⟨hal-01807098⟩

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