Acta mathematica scientia,Series B ›› 2009, Vol. 29 ›› Issue (2): 341-348.doi: 10.1016/S0252-9602(09)60034-5

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A FAST CONVERGENT METHOD OF ITERATED REGULARIZATION

Huang Xiaowei, Wu Chuansheng, Wu Di   

  1. School of Sciences, Wuhan University of Technology, Wuhan 430070, China
  • Received:2006-12-01 Online:2009-03-20 Published:2009-03-20

Abstract:

This article presents a fast convergent method of iterated regularization based on the idea of Landweber iterated regularization, and a method for a-posteriori choice by the Morozov discrepancy principle and the optimum asymptotic convergence order of the regularized solution is obtained. Numerical test shows that the method of iterated regu-larization can quicken the convergence speed and reduce the calculation burden efficiently.

Key words: Ill-posed problems, iterated regularization, Morozov discrepancy principle

CLC Number: 

  • 47A52
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