Convex combination of alternating projection and Douglas–Rachford operators for phase retrieval

Journal article (2021)

Authors

Hieu Thao Nguyen Can Tho University, Team Raf Van de Plas - Mechanical, Maritime and Materials Engineering
O.A. Soloviev Team Raf Van de Plas - Mechanical, Maritime and Materials Engineering , Flexible Optical B.V.
M.H.G. Verhaegen Team Raf Van de Plas - Mechanical, Maritime and Materials Engineering
Research Group
Team Raf Van de Plas (Mechanical, Maritime and Materials Engineering) (TU Delft)
Copyright: © 2021 Hieu Thao Nguyen, O.A. Soloviev, M.H.G. Verhaegen
DOI: https://doi.org/10.1007/s10444-021-09861-y
More Info
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Published Date

2021

Language

English

Faculty

Mechanical, Maritime and Materials Engineering

Department

Delft Center for Systems and Control

Research Group

Team Raf Van de Plas

Abstract

We present the convergence analysis of convex combination of the alternating projection and Douglas–Rachford operators for solving the phase retrieval problem. New convergence criteria for iterations generated by the algorithm are established by applying various schemes of numerical analysis and exploring both physical and mathematical characteristics of the phase retrieval problem. Numerical results demonstrate the advantages of the algorithm over the other widely known projection methods in practically relevant simulations.