一种快速收敛的迭代正则化方法  

A Fast Convergent Method of Iterated Regularization

作　　者：吕小红[1] 吴传生[1] 周俊[1] 

机构地区：[1]武汉理工大学理学院,武汉430070

出　　处：《吉林大学学报（理学版）》2009年第2期269-272,共4页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金(批准号:60473081)

摘　　要：对于线性不适定问题,基于Landweber迭代正则化方法提出一种快速收敛的迭代正则化方法,依据Morozov偏差原理,采用后验选取正则化参数的方法得到了最优渐近收敛阶的正则化解.数值实验结果表明,该方法可以加快收敛速度,降低计算量.For linear ill-posed problems, the paper presents a fast convergent method of iterated regularization based on the idea of Landweber iterated regularization, and a method of a-posteriori choice by the Morozov discrepancy principle, by which the optimum asymptotic convergence order of the regularized solution is obtained. Numerical test shows that the method of iterated regularization can quicken the convergence speed, reduce the calculation burden efficiently.

关 键 词：不适定问题 迭代正则化 Morozov偏差原理 

分 类 号：O241[理学—计算数学]