A string averaging method based on strictly quasi-nonexpansive operators with generalized relaxation
Optimization and Control
2021-05-03 v1 Numerical Analysis
Numerical Analysis
Abstract
We study a fixed point iterative method based on generalized relaxation of strictly quasi-nonexpansive operators. The iterative method is assembled by averaging of strings, and each string is composed of finitely many strictly quasi-nonexpansive operators. To evaluate the study, we examine a wide class of iterative methods for solving linear systems of equations (inequalities) and the subgradient projection method for solving nonlinear convex feasibility problems. The mathematical analysis is complemented by some experiments in image reconstruction from projections and classical examples, which illustrate the performance using generalized relaxation.
Cite
@article{arxiv.2104.14832,
title = {A string averaging method based on strictly quasi-nonexpansive operators with generalized relaxation},
author = {Touraj Nikazad and Mahdi Mirzapour},
journal= {arXiv preprint arXiv:2104.14832},
year = {2021}
}
Comments
arXiv admin note: text overlap with arXiv:1706.06675