基于动力系统求解线性不适定问题的一种迭代方法  

An Iterative Method for Solving Linear Ill-Posed Problems Based on Dynamical Systems

作　　者：孙晶[1] 贺国强[1] 

机构地区：[1]上海大学理学院,上海200444

出　　处：《上海大学学报（自然科学版）》2008年第2期156-160,共5页Journal of Shanghai University:Natural Science Edition

摘　　要：该文基于一个抽象微分方程的二阶Runge-Kutta方法,构造一种求解线性不适定算子方程的迭代方法——中点法,并讨论此方法的收敛性及收敛速率,数值试验的结果也与该理论相符.This paper proposes an iterative method for solving ill-posed operator equations based on dynamical systems and discuss the convergence properties and convergence rates of the method. Numerical examples are given, which is in agreement with the theoretical results.

关 键 词：抽象微分方程 二阶Runge-Kutta方法 残差准则 收敛速率 

分 类 号：O242[理学—计算数学]