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Alternating Projections with Applications to Gerchberg-Saxton Error Reduction

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Abstract

We consider convergence of alternating projections between non-convex sets and obtain applications to convergence of the Gerchberg-Saxton error reduction method, of the Gaussian expectation-maximization algorithm, and of Cadzow’s algorithm.

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  1. Institut de Mathématiques, Université de Toulouse, Toulouse, France

    Dominikus Noll

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  1. Dominikus Noll
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Dedicated to R.T. Rockafellar on the occasion of his 85th anniversary

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Noll, D. Alternating Projections with Applications to Gerchberg-Saxton Error Reduction. Set-Valued Var. Anal 29, 771–802 (2021). https://doi.org/10.1007/s11228-021-00585-1

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