求解线性积分方程的压缩投影离散的Landweber算法

A Compressed Multiscale Projection Method for Solving Linear Integral Equtions Via Landweber Method

研究了求解线性积分方程的多尺度压缩投影离散的Landweber算法,提出了Landweber迭代终止指标的停止准则,与传统的投影算法比较,减少了计算量,确保了近似解的最优收敛性.算例表明了该方法的有效性.

In this paper,a compressed multiscale projection method for solving linear integral equations is studied and a stopping rule is proposed to choose the termination index of Landweber iteration.Compared with the traditional projection algorithm,it reduces the amount of calculation and ensures the optimal convergence of the approximate solution.Numerical examples are given to demonstrate the efficiency and accuracy of the proposed.