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A Runge–Kutta type modified Landweber method for nonlinear ill-posed operator equations
- Source :
-
Journal of Computational & Applied Mathematics . Mar2008, Vol. 212 Issue 2, p457-468. 12p. - Publication Year :
- 2008
-
Abstract
- Abstract: In this paper, we investigate the convergence behavior of a Runge–Kutta type modified Landweber method for nonlinear ill-posed operator equations. In order to improve the stability and convergence of the Landweber iteration, a 2-stage Gauss-type Runge–Kutta method is applied to the continuous analogy of the modified Landweber method, to give a new modified Landweber method, called R–K type modified Landweber method. Under some appropriate conditions, we prove the convergence of the proposed method. We conclude with a numerical example confirming the theoretical results, including comparisons to the modified Landweber iteration. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 03770427
- Volume :
- 212
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Journal of Computational & Applied Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 28072710
- Full Text :
- https://doi.org/10.1016/j.cam.2006.12.021