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In this paper, we study the success rate of the reconstruction of objects offinite extent given the magnitude of its Fourier transform and its geometricalshape. We demonstrate that the commonly used combination of the hybrid inputoutput and error reduction algorithm is significantly outperformed by anextension of this algorithm based on randomized overrelaxation. In most cases,this extension tremendously enhances the success rate of reconstructions for afixed number of iterations as compared to reconstructions solely based on thetraditional algorithm. The good scaling properties in terms of computationaltime and memory requirements of the original algorithm are not influenced bythis extension.

Improved success rate and stability for phase retrieval by including randomized overrelaxation in the hybrid input output algorithm