A. De Cezaro, M. Haltmeier, A. Leitao, O. Scherzer
Published 2008-01-20, updated 2008-08-03Version 3
We investigate modified steepest descent methods coupled with a loping Kaczmarz strategy for obtaining stable solutions of nonlinear systems of ill-posed operator equations. We show that the proposed method is a convergent regularization method. Numerical tests are presented for a linear problem related to photoacoustic tomography and a non-linear problem related to the testing of semiconductor devices.
Comments: 22 pages (8 figures). For this version we have corrected some typos and also have corrected Equation (25) in the proof of Theorem 3.3
Journal: Applied Mathematics and Computation 202 (2008), pp. 596-607
On projective Landweber-Kaczmarz methods for solving systems of nonlinear ill-posed equations
Regularization of systems of nonlinear ill-posed equations: I. Convergence Analysis
Regularization of systems of nonlinear ill-posed equations: II. Applications
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