A steepest descent algorithm for the global minimization of the Tikhonov functional

Author: Ramlau R.

Source: Inverse Problems, Volume 18, Number 2, 2002 , pp. 381-403(23)

Publisher: IOP Publishing

Abstract:

We report on a new iterative approach for finding a global minimizer of the Tikhonov functional with a special class of nonlinear operators F. Assuming that the operator itself can be decomposed into (or approximated by) a sum of a linear and a bilinear operator, we introduce a two-step iteration scheme based on an outer iteration over the regularization parameter and an inner iteration with a steepest descent method. Finally we present numerical results for the reconstruction of the emission function in single-photon emission computed tomography.

Language: English

Document Type: Miscellaneous

Publication date: 2002-01-01

• In this: publication
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• In this Subject: General & Civil Engineering ,  Mathematics and Statistics
• By this author: Ramlau R.

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