Some studies on the Tikhonov regularization method with additional assumptions for noise data
In this paper, the Tikhonov regularization method was used to solve the nondegenerate compact linear operator equation, which is a well-known ill-posed problem. Apart from the usual error level, the noise data were supposed to satisfy some additional monotonic condition. Moreover, with the assumption that the singular values of operator have power form, the improved convergence rates of the regularized solution were worked out.