期刊文献+

A FAST CONVERGENT METHOD OF ITERATED REGULARIZATION

A FAST CONVERGENT METHOD OF ITERATED REGULARIZATION
下载PDF
导出
摘要 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 regularization can quicken the convergence speed and reduce the calculation burden efficiently. 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 regularization can quicken the convergence speed and reduce the calculation burden efficiently.
出处 《Acta Mathematica Scientia》 SCIE CSCD 2009年第2期341-348,共8页 数学物理学报(B辑英文版)
关键词 Ill-posed problems iterated regularization Morozov discrepancy principle Ill-posed problems, iterated regularization, Morozov discrepancy principle
  • 相关文献

参考文献7

  • 1Engl H W, Hanke M, Neubauer. A Regularization of Inverse Problems. Dordrecht: Kluwer, 1996
  • 2Hanke M, Neubauer A, Scherzer O. A convergence analysis of the landweber iteration for nonlinear ill-posed problems. J Number Math, 1995, 72:21 37
  • 3Ramlau R. Modified landweber methods for inverse problems. J Number Funct Anal Optimiz, 1999, 20: 79-98
  • 4Hanke M. Accelerated landweber iterations for the solution of ill-posed equations. J Numer Math, 1991, 60:341-373
  • 5Neubauer A. On Landweber iteration for nonlinear ill-posed problems in Hilbert scales. J Numer Math, 2000, 85:309-328
  • 6Bruckner G, Cheng J. Tikhonove regularization for an integer equation of the first kind with logarithmic kernel. J Inverse Ill-posed Problems, 2000, 8:665 675
  • 7Bruckner G, Pereverzev S. Self-regularization of projection method with a posteriori discretization level choice for severely ill-posed problems. J Inverse Ill-posed Problems, 2003, 19:147-151

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部