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

Research output: Contribution to journalArticleScientificpeer-review

4 Downloads (Pure)

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.

Original languageEnglish
Article number33
Number of pages25
JournalAdvances in Computational Mathematics
Volume47
Issue number3
DOIs
Publication statusPublished - 2021

Keywords

  • Fourier transform
  • Linear convergence
  • Nonconvex feasibility
  • Phase retrieval
  • Projection method
  • Prox-regularity
  • Transversality

Fingerprint Dive into the research topics of 'Convex combination of alternating projection and Douglas–Rachford operators for phase retrieval'. Together they form a unique fingerprint.

Cite this