Phase Retrieval by Linear Algebra

DOI10.1137/16M1107747zbMath1375.49035arXiv1607.07484OpenAlexW2516450583MaRDI QIDQ5358296

Gi-Ren Liu, Pengwen Chen, Albert C. Fannjiang

Publication date: 20 September 2017

Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1607.07484

zbMATH Keywords

phase retrievalcoded diffraction patternsnull initialization

Mathematics Subject Classification ID

Special problems of linear programming (transportation, multi-index, data envelopment analysis, etc.) (90C08) Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.) (05C70) Optimality conditions for minimax problems (49K35)

Related Items (4)

The numerics of phase retrieval ⋮ Phase retrieval with one or two diffraction patterns by alternating projections with the null initialization ⋮ On connections between amplitude flow and error reduction for phase retrieval and ptychography ⋮ Local saddles of relaxed averaged alternating reflections algorithms on phase retrieval

Uses Software

• Wirtinger Flow

Cites Work

• Phase retrieval with one or two diffraction patterns by alternating projections with the null initialization
• Fourier phase retrieval with a single mask by Douglas-Rachford algorithms
• Absolute uniqueness of phase retrieval with random illumination
• Phase Retrieval via Wirtinger Flow: Theory and Algorithms
• Solving Random Quadratic Systems of Equations Is Nearly as Easy as Solving Linear Systems
• Phase Retrieval Using Alternating Minimization
• An Introduction to Matrix Concentration Inequalities

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