【Coll. 1023】Prof. Ye Zhang: A new class of iterative regularization methods for inverse problems with non-negativity constraint

时间：2019-10-21 浏览：264次

**Speaker: **Associate Professor Ye Zhang, Shenzhen MSU-BIT University

`Abstract: In order to obtain a stable non-negative approximate solution, I will develop two novel non-negativity preserving iterative regularization methods. `

`In contrast to the projected Landweber iteration, which has only weak convergence w.r.t. noise for the regularized solution, `

`the newly introduced regularization methods exhibit the strong convergence. The convergence result for the imperfect forward model, as well as the convergence rates, are discussed. `

`Two new discrepancy principles are developed for a posteriori stopping of our iterative regularization algorithms. `

As an application of new approaches, we consider a biosensor problem, which is modelled as a two dimensional Fredholm integral equation of the first kind.

**报告时间****：**2019-10-23 10:30-11:30

**报告地点：**中国人民大学，数学科学研究院（环境楼）316会议室