In this paper, we compute quadratic rates of asymptotic regularity for the Tikhonov–Mann iteration in W-hyperbolic spaces. This is an extension to a nonlinear setting modified Mann defined recently by Boţ, Csetnek and Meier Hilbert Furthermore, show that Douglas–Rachford forward-backward algorithms with Tikhonov regularization terms are special cases, spaces, our iteration.

This paper studies the regularization of constrained Maximum Likelihood iterative algorithms applied to incompatible ill-posed linear inverse problems. Specifically we introduce a novel stopping rule which defines a regularization algorithm for the Iterative Space Reconstruction Algorithm in the case of Least-Squares minimization. Further we show that the same rule regularizes the Expectation M...

To obtain smooth solutions to ill-posed problems, the standard Tikhonov regularization method is most often used. For the practical choice of the regularization parameter α we can then employ the well-known L-curve criterion, based on the L-curve which is a plot of the norm of the regularized solution versus the norm of the corresponding residual for all valid regularization parameters. This pa...

rational functions are of great interest to engineers and geoscientists. the rational polynomial coefficient (rpc) model as a generalized sensor model has been introduced as an alternative for the rigorous sensor model of the satellite imaging. numerical instability of normal equations is the only single obstacle to the implementation of these functions. practically, estimating rational functio...

One of directions in the development Lomov’s regularization method is approach related to holomorphic singularly perturbed problems, which allows one construct solutions such problems form series powers a small parameter that converge usual sense. For boundary-value problem pseudo-holomorphic continuation very urgent. In this paper, we examine for Tikhonov system and give conditions existence i...