9月17日 金其年教授学术报告

发布时间:2013-09-10

题 目：Landweber iteration of Kaczmarz type with general non-smooth convex penalty functionals

报告人：Dr. Qinian Jin
(Australian National University)

时 间： 9月17日（周二） 下午4：00-5：00

地 点：数学楼104室

Abstract:
The determination of solutions of many inverse problems usually requires a set of measurements which leads to solving systems of ill-posed equations. In this talk we consider the Landweber iteration of Kaczmarz type with general uniformly convex penalty functional. The method is formulated by using tools from convex analysis. The penalty term is allowed to be non-smooth to include $L^1$ and total variation (TV) like penalty functionals, which are significant in reconstructing special features of solutions such as sparsity and piecewise constancy in practical applications. Under reasonable conditions, we establish the convergence of the method. Finally we present numerical simulations on tomography problems and parameter identification in partial differential equations to indicate the performance. This is a joint work with Wei Wang.

报告人简介：
个人主页：https://researchers.anu.edu.au/researchers/jin-q

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