A Modification of Regularized Newton-Type Method for Nonlinear Ill-Posed Problems

摘要：

A Modification of regularized Newton-type method for nonlinear ill-posed problems is considered. Using an a posteriori stopping rule proposed by Kaltenbacher, the convergence of the method is proved under certain conditions on the nonlinear operator. Optimal convergence rates are also shown under appropriate closeness and smoothness assumptions on the difference of the starting value and the solution. Some special cases of the method are also given. Numerical results confirm the corresponding theoretical statements.

作者: Ze-hong Meng Zhen-yu Zhao Guoqiang He

作者单位: School of Mathematics and Statistics,Zhejiang University of Finance and Economics, 310018 College of Science,Guangdong Ocean University, Zhanjiang, 524088 Department of Mathematics,Shanghai University, 200444

会议类型: 国际会议

会议名称: The Second International Conference on High Performance Computing and Applications(第二届高性能计算及应用国际会议)

会议地点: 上海

会议语种:英文

页码: 295-304

在线出版日期: 2009-08-10（万方平台首次上网日期，不代表论文的发表时间）