Fast Rank-One Alternating Minimization Algorithm for Phase Retrieval

The phase retrieval problem is a fundamental problem in many fields, which is appealing for investigation. It is to recover the signal vector x ~ ∈ C d from a set of N measurements b n = | f n ∗ x ~ | 2 , n = 1 , … , N , where { f n } n = 1 N forms a frame of C d . Existing algorithms usually use a...

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Bibliographic Details
Published in:	Journal of scientific computing Vol. 79; no. 1; pp. 128 - 147
Main Authors:	Cai, Jian-Feng, Liu, Haixia, Wang, Yang
Format:	Journal Article
Language:	English
Published:	New York Springer US 01.04.2019 Springer Nature B.V
Subjects:	Algorithms Computational Mathematics and Numerical Analysis Convergence Convex analysis Efficiency Fourier transforms Hilbert space Mathematical and Computational Engineering Mathematical and Computational Physics Mathematics Mathematics and Statistics Optimization Phase retrieval Polynomials Splitting Theoretical Alternating minimization Non-convex optimizaton Alternating gradient descent Phase retrieval Rank-one
ISSN:	0885-7474, 1573-7691
Online Access:	Get full text
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