Finite dimensional realization of a quadratic convergence yielding iterative regularization method for ill-posed equations with monotone operators

作者:

Highlights:

摘要

Recently Jidesh et al. (2015), considered a quadratic convergence yielding iterative method for obtaining approximate solution to nonlinear ill-posed operator equation where F: D(F) ⊆ X → X is a monotone operator and X is a real Hilbert space. In this paper we consider the finite dimensional realization of the method considered in Jidesh et al. (2015). Numerical example justifies our theoretical results.

论文关键词:Nonlinear ill-posed equations,Adaptive method,Monotone operator,Quadratic convergence,Projection method

论文评审过程:Received 28 July 2015, Accepted 21 October 2015, Available online 12 November 2015, Version of Record 12 November 2015.

论文官网地址:https://doi.org/10.1016/j.amc.2015.10.051