Adaptive Strategy for the Damping Parameters in an Iteratively Regularized Gauss–Newton Method

O. Scherzer and M. Gulliksson
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O. Scherzer: Universität Linz
M. Gulliksson: Umeå University

Journal of Optimization Theory and Applications, 1999, vol. 100, issue 1, No 8, 180 pages

Abstract: Abstract In this paper, a convergence analysis of an adaptive choice of the sequence of damping parameters in the iteratively regularized Gauss–Newton method for solving nonlinear ill-posed operator equations is presented. The selection criterion is motivated from the damping parameter choice criteria, which are used for the efficient solution of nonlinear least-square problems. The performance of this selection criterion is tested for the solution of nonlinear ill-posed model problems.

Keywords: Nonlinear ill-posed problems; parameter identification; nonlinear least-square problems; iteratively regularized Gauss–Newton method (search for similar items in EconPapers)
Date: 1999
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DOI: 10.1023/A:1021773116353

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