论文标题
关于算法与Tikhonov正则化项的收敛性
On the convergence of algorithms with Tikhonov regularization terms
论文作者
论文摘要
我们考虑了Krasnosel'ski \uı-Mann的强烈收敛性修改版本，带有Tikhonov正则化术语的前向后卫和Douglas-Rachford算法，由RaduBoţ，Ernöcsetnek和Dennis Meier介绍。我们获得了这些经过修改的迭代的定量信息，即渐近规律性和亚抗性的速率。此外，我们的论点避免使用顺序弱的紧凑性，并仅使用投影参数的弱形式。
We consider the strongly convergent modified versions of the Krasnosel'ski\uı-Mann, the forward-backward and the Douglas-Rachford algorithms with Tikhonov regularization terms, introduced by Radu Boţ, Ernö Csetnek and Dennis Meier. We obtain quantitative information for these modified iterations, namely rates of asymptotic regularity and metastability. Furthermore, our arguments avoid the use of sequential weak compactness and use only a weak form of the projection argument.
