Adaptive strategy for the damping parameters in an iteratively regularizedGauss-Newton method

Authors
Scherzer, O Gulliksson, M
Citation
O. Scherzer et M. Gulliksson, Adaptive strategy for the damping parameters in an iteratively regularizedGauss-Newton method, J OPTIM TH, 100(1), 1999, pp. 161-180
Citations number
14
Categorie Soggetti
Engineering Mathematics
Journal title
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS
ISSN journal
00223239 → ACNP
Volume
100
Issue
1
Year of publication
1999
Pages
161 - 180
Database
ISI
SICI code
0022-3239(199901)100:1<161:ASFTDP>2.0.ZU;2-Z
Abstract
In this paper, a convergence analysis of an adaptive choice of the sequence of damping parameters in the iteratively regularized Gauss-Newton method f or solving nonlinear ill-posed operator equations is presented. The selecti on criterion is motivated from the damping parameter choice criteria, which are used for the efficient solution of nonlinear least-square problems. Th e performance of this selection criterion is tested for the solution of non linear ill-posed model problems.