Ronny Ramlau 2002 Inverse Problems 18 381 doi:10.1088/0266-5611/18/2/306
Ronny Ramlau
Show affiliationsWe 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 α 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.
47A07 Forms (bilinear, sesquilinear, multilinear)
65D15 Algorithms for functional approximation
Issue 2 (April 2002)
Received 25 September 2001
Published 7 March 2002
Ronny Ramlau 2002 Inverse Problems 18 381
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