Name
Abstract | ||
|---|---|---|
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. |
Year | DOI | Venue |
|---|---|---|
2009 | 10.1007/978-3-642-11842-5_40 | Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) |
Keywords | Field | DocType |
optimal convergence rate,special case,nonlinear ill-posed problem,appropriate closeness,regularized newton-type method,numerical result,certain condition,smoothness assumption,corresponding theoretical statement,nonlinear operator | Convergence (routing),Well-posed problem,Mathematical optimization,Nonlinear system,Computer science,Closeness,A priori and a posteriori,Nonlinear operators,Smoothness,Stopping rule | Conference |
Volume | Issue | ISSN |
5938 LNCS | null | 16113349 |
ISBN | Citations | PageRank |
3-642-11841-0 | 0 | 0.34 |
References | Authors | |
1 | 3 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Ze-hong Meng | 1 | 19 | 2.07 |
| Zhen-yu Zhao | 2 | 0 | 0.34 |
| Guo-qiang He | 3 | 0 | 0.34 |