论文标题
修改了迭代的Tikhonov方法，用于求解非线性不良方程的系统
Modified iterated Tikhonov methods for solving systems of nonlinear ill-posed equations
论文作者
论文摘要
我们研究了迭代的Tikhonov方法，再加上Kaczmarz策略，用于获得稳定的非线性操作员方程式的稳定解决方案。我们表明所提出的方法是一种收敛的正则化方法。在嘈杂数据的情况下，我们提出了一个修改，即所谓的迭代迭代Tikhonov-Kaczmarz方法，其中引入了一系列放松参数并使用了不同的停止规则。还提供了此方法的收敛分析。
We investigate iterated Tikhonov methods coupled with a Kaczmarz strategy for obtaining stable solutions of nonlinear systems of ill-posed operator equations. We show that the proposed method is a convergent regularization method. In the case of noisy data we propose a modification, the so called loping iterated Tikhonov-Kaczmarz method, where a sequence of relaxation parameters is introduced and a different stopping rule is used. Convergence analysis for this method is also provided.
