Multilevel Gauss-Newton methods for phase retrieval problems

Journal of Physics A: Mathematical and General

Volumn 39, Issue 16, 2006, Pages 4191-4206

  Seifert, Birger ^a   Stolz, Heinrich ^a   Donatelli, Marco ^b   Langemann, Dirk ^c   Tasche, Manfred ^a  

^a UNIVERSITY OF ROSTOCK   (Germany)

^b UNIVERSITY OF INSUBRIA   (Italy)

^c UNIVERSITY OF LÜBECK   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33645692078     PISSN: 03054470     EISSN: 13616447     Source Type: Journal    
DOI: 10.1088/0305-4470/39/16/007     Document Type: Article

References (12)

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3. Seifert B, Stolz H and Tasche M 2004 Nontrivial ambiguities for blind frequency-resolved optical gating and the problem of uniqueness J. Opt. Soc. Am. B 21 1089-97
4. Webster G and Hilgenfeld R 2002 Perspectives on single molecule diffraction using the X-ray free electron laser Single Molecules 3 61-6
5. Klibanov M V, Sacks P E and Tikhonravov A V 1995 The phase retrieval problem Inverse Problems 11 1-28
6. Van Loan C F 1992 Computational Framework for the Fast Fourier Transform (Philadelphia: SIAM)
7. Engl H W, Kunisch K and Neubauer A 1989 Convergence rates for Tikhonov regularisation of nonlinear ill-posed problems Inverse Problems 5 523-40
8. Plonka G and Tasche M 2005 Fast and numerically stable algorithms for discrete cosine transforms Linear Algebra Appl. 394 309-45
9. Deuflhard P 2004 Newton Methods for Nonlinear Problems (Berlin: Springer)
10. Gerchberg R W and Saxton W O 1972 A practical algorithm for the determination of phase from image and diffraction plane pictures Optik 35 237-46
11. Fienup J R 1982 Phase retrieval algorithms: a comparison Appl. Opt. 21 2758-69
12. Blaschke-Kaltenbacher B and Engl H W 1997 Regularization methods for nonlinear ill-posed problems with applications to phase reconstruction Inverse Problems in Medical Imaging and Nondestructive Testing ed H W Engl, A K Louis and W Rundell (Berlin: Springer) pp 17-35