中文摘要：

基于最优的投影方法，构造了求解病态积分方程的截断快速Tikhonov迭代算法，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．同时，给出了后验参数选择办法．算例证实了算法的有效性．

英文摘要：

In this paper, an adaptive discretization Tikhonov iterative method is established for solving the ill-posed integral equation based on the optimization of projection method. Com- pared with the usual projection technique, we obtain the best order to accuracy, but less inner products. Also,a posteriori parameter choice strategies is proposed. Finally, numerical ex- periments are given to illustrate the efficiency of the method.