The method is formulated by combining the homotopy perturbation technique. The penalty term is allowed to be nonsmooth to include L 1 -norm or total variation- ...

Jan 9, 2018 · Abstract:In this paper, we discuss the construction, analysis and implementation of a novel iterative regularization scheme with general ...

This paper investigates the construction, analysis and implementation of a novel iterative regularization scheme with general convex penalty term for ...

In this paper, we introduce a novel nonlinear projected iterative method to solve the ill-posed inverse problems in Banach spaces. This method is motivated by ...

The inner iteration is performed by the non-stationary iterated Tikhonov method. The remarkable point is that the penalty terms can be general convex functions.

TL;DR: A novel Kaczmarz type method for solving inverse problems which can be written as systems of nonlinear operator equations in Banach spaces by combining ...

An accelerated Kaczmarz type method for nonlinear inverse problems in Banach spaces with uniformly convex penalty. J. Comput. Appl. Math. (2021). P.C. Hansen ...

We investigate the method of asymptotical regularization for the stable approximate solution of nonlinear ill-posed problems F(x) = y in Hilbert spaces. The ...

This work investigates regularization methods aimed at finding stable approximate solutions for linear and nonlinear operator equations in Banach spaces ...

The proposed method uses general convex penalty terms to reconstruct nonsmooth solutions of inverse problems. Instead of an a priori choice, the regularization ...