@Article{JCM-26-37,
author = {Zhongying Chen, Yao Lu, Yuesheng Xu and Hongqi Yang},
title = {Multi-Parameter Tikhonov Regularization for Linear Ill-Posed Operator Equations},
journal = {Journal of Computational Mathematics},
year = {2008},
volume = {26},
number = {1},
pages = {37--55},
abstract = {<p style="text-align: justify;">We consider solving linear ill-posed operator equations. Based on a multi-scale decomposition for the solution space, we propose a multi-parameter regularization for solving the equations. We establish weak and strong convergence theorems for the multi-parameter regularization solution. In particular, based on the eigenfunction decomposition, we develop a posteriori choice strategy for multi-parameters which gives a regularization solution with the optimal error bound. Several practical choices of multi-parameters are proposed. We also present numerical experiments to demonstrate the outperformance of the multi-parameter regularization over the single parameter regularization.</p>},
issn = {1991-7139},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/jcm/8609.html}
}