@Article{JCM-26-37, author = {}, 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 = {
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.
}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/8609.html} }