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The Method for Determining Regularization Parameters with Perturbed Operators

HU Bin;XIA Yun;YU Jian-hua;School of Science,East China Institute of Technology;  
Based on the non-standard generalized discrepancy principle,a simple iteration method is given for choosing regularization parameters with perturbed operator and noise data for the Tikhonov regularization method,which is a classical method for solving ill-posed problems. And it is clarified that the proposed iteration method is a linear model function algorithm. Furthermore,the simple iteration method for choosing regularization parameters is proved to be converging under some conditions by using the linear model function method. Numerical experiments show that the method is efficient.
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