Title
Convex Combination Of Alternating Projection And Douglas-Rachford Operators For Phase Retrieval
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.
Year
DOI
Venue
2021
10.1007/s10444-021-09861-y
ADVANCES IN COMPUTATIONAL MATHEMATICS
Keywords
DocType
Volume
Nonconvex feasibility, Projection method, Prox-regularity, Transversality, Linear convergence, Phase retrieval, Fourier transform
Journal
47
Issue
ISSN
Citations 
3
1019-7168
0
PageRank 
References 
Authors
0.34
0
3
Name
Order
Citations
PageRank
Thao Nguyen Hieu100.34
Soloviev Oleg200.34
Michel Verhaegen31074140.85