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In the framework of iterative regularization techniques for large-scale linear ill-posed problems, this paper introduces a novel algorithm for the choice of the regularization parameter when performing the Arnoldi-Tikhonov method. Assuming that we can apply the discrepancy principle, this new strategy can work without restrictions on the choice of the regularization matrix. Moreover this method is also employed as a procedure to detect the noise level whenever it is just overestimated.doi:10.1016/j.cam.2013.07.023 fatcat:waaetw2vgbbbhna5tjqo5r6xzq