A FAST ITERATIVE METHODS FOR SOLVING THE ILL-POSED INTEGRAL EQUATION BASED ON THE OPTIMAL PROJECTION METHODS
最优投影策略下解病态积分方程的快速迭代算法

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. Compared 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 experiments are given to illustrate the efficiency of the method.