| On a Monotone Ill-posed Problem |
| |
| 作者姓名： | Nguyen BUONG |
| |
| 作者单位： | Vietnamese Academy of Science and Technology, Institute of Information Technology, 18, Hoang Quoc Viet, q. Cau Giay, Ha Noi, Vietnam |
| |
| 基金项目： | This work is supported by Vietnamese Fundamental Program in Natural Sciences, N. 121104 |
| |
| 摘 要： | A class of a posteriori parameter choice strategies for the operator version of Tiknonov regularization （including variants of Morozov＇s and Arcangeli＇s methods） is proposed and used in investigating the rate of convergence of the regularized solution for ill-posed nonlinear equation involving a monotone operator in Banach space.
|
| 关 键 词： | 病态问题 单调性 Tikhonov调整 选择策略 收敛性 非线性病态方程 |
| 收稿时间： | 2002-01-23 |
| 修稿时间： | 2002-01-232002-05-16 |
On a Monotone Ill–posed Problem |
| |
| Nguyen BUONG.On a Monotone Ill-posed Problem[J].Acta Mathematica Sinica,2005,21(5):1001-1004. |
| |
| Authors: | Nguyen Buong |
| |
| Institution: | (1) Vietnamese Academy of Science and Technology, Institute of Information Technology, 18, Hoang Quoc Viet, q. Cau Giay, Ha Noi, Vietnam |
| |
| Abstract: | A class of a posteriori parameter choice strategies for the operator version of Tikhonov
regularization (including variants of Morozov's and Arcangeli's methods) is proposed and used in investigating the rate of
convergence of the regularized solution for ill–posed nonlinear equation involving a monotone operator in Banach space.
This work is supported by Vietnamese Fundamental Program in Natural Sciences, N. 121104 |
| |
| Keywords: | Monotone operators Tikhonov regularization |
| 本文献已被 维普 SpringerLink 等数据库收录！ |
