Phase retrieval by linear algebra

Pengwen Chen, Albert Fannjiang, Gi Ren Liu

Research output: Contribution to journalArticlepeer-review

6 Citations (Scopus)


The null vector method, based on a simple linear algebraic concept, is proposed as an initialization method for nonconvex approaches to the phase retrieval problem. For the stylized measurement with random complex Gaussian matrices, a nonasymptotic error bound is derived, stronger than that of the spectral vector method. Numerical experiments show that the null vector method also has a superior performance for the realistic measurement of coded diffraction patterns in coherent diffractive imaging.

Original languageEnglish
Pages (from-to)854-868
Number of pages15
JournalSIAM Journal on Matrix Analysis and Applications
Issue number3
Publication statusPublished - 2017

All Science Journal Classification (ASJC) codes

  • Analysis


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