| 一种解非线性反问题的正则化方法 |
| |
| 引用本文： | 李佳,王薇,韩波.一种解非线性反问题的正则化方法[J].黑龙江大学自然科学学报,2009,26(1). |
| |
| 作者姓名： | 李佳 王薇 韩波 |
| |
| 作者单位： | 哈尔滨工业大学数学系,哈尔滨,150001 |
| |
| 摘 要： | 求解实Hilberr空间中的非线性不适定算子方程F(x)=y.对修正的三阶牛顿法进行正则化,以获得新的修正Levenberg-Marquardt迭代格式.在适当的条件下应用广义偏差原则,对该迭代格式的收敛性进行了分析与证明,并通过求解参数识别问题说明该方法的有效性.
|
| 关 键 词： | 非线性不适定问题 正则化 参数识别 |
A regularization method for solving nonlinear inverse problems |
| |
| LI Jia,WANG Wei,HAN Bo.A regularization method for solving nonlinear inverse problems[J].Journal of Natural Science of Heilongjiang University,2009,26(1). |
| |
| Authors: | LI Jia WANG Wei HAN Bo |
| |
| Institution: | College of Science;Harbin Institute of Technology;Harbin 150001;China |
| |
| Abstract: | In order to solve the nonlinear ill-posed operator equation in Hilbert space,a modified Newton method is regularized to obtain a modified Levenberg-Marquardt iterative form.Using the discrepancy principle as a stopping criterion,the convergence of this regularization method is investigated under appropriate assumptions.Numerical experiments solving parameter identification problem are presented to illustrate the performance of the method and show its advantages. |
| |
| Keywords: | nonlinear ill-posed problems regularization parameter identification |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
|
