A Runge–Kutta type modified Landweber method for nonlinear ill-posed operator equations |
| |
Authors: | W Wang B HanL Li |
| |
Institution: | Department of Mathematics, Harbin Institute of Technology, Harbin 150001, China |
| |
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. |
| |
Keywords: | 65J20 65R30 |
本文献已被 ScienceDirect 等数据库收录! |
|