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.

中文翻译：

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交替投影和Douglas-Rachford算子的凸组合用于相位检索

我们提出了交替投影和Douglas-Rachford算子的凸组合的收敛性分析，用于解决相位检索问题。通过应用各种数值分析方案并探索相位检索问题的物理和数学特征，建立了由算法生成的迭代的新收敛准则。数值结果证明了该算法在实际相关的仿真中比其他广为人知的投影方法的优势。