On Steepest-Descent-Kaczmarz methods for regularizing systems of nonlinear ill-posed equations
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摘要
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 nonlinear problem related to the testing of semiconductor devices.
论文关键词:Nonlinear systems,Ill-posed equations,Regularization,Steepest-descent method,Kaczmarz method
论文评审过程:Available online 19 March 2008.
论文官网地址:https://doi.org/10.1016/j.amc.2008.03.010