解不适定算子方程的多步正则化梯度法

Multi-step Regularized Gradient Algorithm for Ill-posed Operator Equation

根据求解动力系统的数值方法,得到几个多步正则化梯度法.分别利用先验准则和后验准则,在适当条件下,得到这些方法的统一收敛性.

The paper proposed a family of multi - step algorithms for ill- posed operator equation, which come from the numerical method for dynamics system. Employing a - priori rule and a - posteriori rule respectively, these algorithms are convergent and stable with respect to the error under some conditions.