@article {Ramlau:2002:0266-5611:381, author = "Ramlau R.", title = "A steepest descent algorithm for the global minimization of the Tikhonov functional", journal = "Inverse Problems", volume = "18", year = "2002", 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.

", pages = "381-403(23)", url = "http://www.ingentaconnect.com/content/iop/ip/2002/00000018/00000002/art00306" }