On the inexactness level of robust Levenberg-Marquardt methods
文献类型：期刊论文
| 作者 | Fischer, A.1; Shukla, P. K.1; Wang, M.2 |
| 刊名 | OPTIMIZATION
 |
| 出版日期 | 2010 |
| 卷号 | 59期号:2页码:273-287 |
| 关键词 | nonlinear equation Levenberg-Marquardt method quadratic convergence nonisolated solution |
| ISSN号 | 0233-1934 |
| DOI | 10.1080/02331930801951256 |
| 英文摘要 | Recently, the Levenberg-Marquardt (LM) method has been used for solving systems of nonlinear equations with nonisolated solutions. Under certain conditions it converges Q-quadratically to a solution. The same rate has been obtained for inexact versions of the LM method. In this article the LM method will be called robust, if the magnitude of the regularization parameter occurring in its sub-problems is as large as possible without decreasing the convergence rate. For robust LM methods the article shows that the level of inexactness in the sub-problems can be increased significantly. As an application, the local convergence of a projected robust LM method is analysed. |
| 资助项目 | Gottlieb Daimler- und Karl Benz-Stiftung[02-13/05] |
| WOS研究方向 | Operations Research & Management Science ; Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000274540100009 |
| 出版者 | TAYLOR & FRANCIS LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/9490]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Fischer, A. |
| 作者单位 | 1.Tech Univ Dresden, Dept Math, Inst Numer Math, Dresden, Germany 2.Chinese Acad Sci, Inst Computat Math & Sci Engn Comp, State Key Lab Sci & Engn Comp, Beijing, Peoples R China |
| 推荐引用方式 GB/T 7714 | Fischer, A.,Shukla, P. K.,Wang, M.. On the inexactness level of robust Levenberg-Marquardt methods[J]. OPTIMIZATION,2010,59(2):273-287. |
| APA | Fischer, A.,Shukla, P. K.,&Wang, M..(2010).On the inexactness level of robust Levenberg-Marquardt methods.OPTIMIZATION,59(2),273-287. |
| MLA | Fischer, A.,et al."On the inexactness level of robust Levenberg-Marquardt methods".OPTIMIZATION 59.2(2010):273-287. |
入库方式： OAI收割
来源：数学与系统科学研究院
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