Convex combination of alternating projection and Douglas-Rachford\n operators for phase retrieval

2020/02/05 by Nguyen Hieu Thao, Thao, Nguyen Hieu, Oleg Soloviev +3
Engineering · Physics and Astronomy · #65K05 #65K15 #65Z05 Secondary 49K40 #78A45 #90C26 #Advanced X-ray Imaging Techniques #FOS: Mathematics #G.1.3 #G.1.6 #Non-Destructive Testing Techniques #Numerical Analysis (math.NA) #Primary 49J53 #X-ray Spectroscopy and Fluorescence Analysis

paper · pdf · doi:10.48550/arxiv.2002.01678

openalex publication_date 2020/02/05 · openalex created_date 2022/07/26 · openalex updated_date 2026/07/28

Abstract

We present the convergence analysis of convex combination of the alternating\nprojection and Douglas-Rachford operators for solving the phase retrieval\nproblem. New convergence criteria for iterations generated by the algorithm are\nestablished by applying various schemes of numerical analysis and exploring\nboth physical and mathematical characteristics of the phase retrieval problem.\nNumerical results demonstrate the advantages of the algorithm over the other\nwidely known projection methods in practically relevant simulations.\n

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