Heinz Engl, Barbara Kaltenbacher,
"An application of Tikhonov regularization to phase retrieval"
, in Nonlinear World, 1996, B. Blaschke, H.W. Engl, W. Grever, and M. Klibanov, An
application of Tikhonov regularization to phase retrieval, Nonlinear
World 3 (1996), 771-786
Original Titel:
An application of Tikhonov regularization to phase retrieval
Sprache des Titels:
Englisch
Englische Kurzfassung:
The phase reconstruction problem consists of recovering a function from absolute values of its Fourier transform. Since this nonlinear problem is ill-posed, some kind of regularization has to be used to solve it. It is shown
that Tikhonov regularization is a stable and convergent method to solve the problem if the function to be reconstructed is time-limited, or, more generally, belongs to a specific weighted Hilbert space and convergence rates are provided.
Journal:
Nonlinear World
Erscheinungsjahr:
1996
Notiz zum Zitat:
B. Blaschke, H.W. Engl, W. Grever, and M. Klibanov, An
application of Tikhonov regularization to phase retrieval, Nonlinear
World 3 (1996), 771-786
Publikationstyp:
Aufsatz / Paper in sonstiger referierter Fachzeitschrift