变分不等式证明正则化的线性不适定问题

Regularization of Linear Ill-Posed Problems Proven by Variational Inequalities

学习过线性不适定问题正则化以后,发现关于Bregman距离的线性收敛率的证明,是在古典假设的一个标准原条件下推导出来的.利用变分不等式,我们将在文章中讨论一阶收敛率的情况,即残差法、偏差原则的Tikhonov正则化.

Learning regularization of linear ill-posed problems later,finding out the proof of linear convergence rates with respect to the Bregman distance have been derived under the classical assumption of a standard source condition.Using the method of variational inequalities,we will be discussing convergence rates of first order both for the case of Residual method and Tikhonov regularization with discrepancy principle.