Modified Iterative Runge-Kutta-Type Methods for Nonlinear Ill-Posed Problems

被引：5
|
作者：
Pornsawad, Pornsarp [1 ]
Boeckmann, Christine [2 ]
机构：
[1] Silpakorn Univ, Dept Math, Fac Sci, Nakhon Pathom 73000, Thailand
[2] Univ Potsdam, Inst Math, Potsdam, Germany
来源：
NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION | 2016年 / 37卷 / 12期
关键词：
Nonlinear ill-posed problems; Runge-Kutta methods; regularization methods; Holder-type source condition; stopping rules; GAUSS-NEWTON METHOD; CONVERGENCE ANALYSIS; LANDWEBER ITERATION; REGULARIZATION; PARAMETER; RATES;
D O I：
10.1080/01630563.2016.1219744
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This work is devoted to the convergence analysis of a modified Runge-Kutta-type iterative regularization method for solving nonlinear ill-posed problems under a priori and a posteriori stopping rules. The convergence rate results of the proposed method can be obtained under a Holder-type sourcewise condition if the Frechet derivative is properly scaled and locally Lipschitz continuous. Numerical results are achieved by using the Levenberg-Marquardt, Lobatto, and Radau methods.
引用
收藏
页码：1562 / 1589
页数：28
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