截断策略下正则化参数的后验选择方法

A Posteriori Parameter Choice Strategy Based on the Truncated Projection Method

基于截断投影方法,构造了求解半正定病态积分方程的Lavrentiev截断快速算法,给出了先验误差估计,并提出了新的后验参数选择准则,与传统投影方法相比得到了相同的最优收敛率,但内积的计算个数少于传统投影方法.

In this paper,a fast truncated Lavrentiev method is established for solving the semi-definite ill-posed integral equation based on the optimization of projection method.We proposed a priori error estimates and a new posteriori parameter choice strategy.Compared with the traditional projection technique,we obtain the same optimal convagence rate,but less than the number of inner products caculation.