| 算子及观测数据都非精确情况下一种新的正则参数选择方法 |
| |
| 引用本文： | 樊树芳,马青华,王彦飞.算子及观测数据都非精确情况下一种新的正则参数选择方法[J].北京师范大学学报(自然科学版),2006,42(1):25-31. |
| |
| 作者姓名： | 樊树芳 马青华 王彦飞 |
| |
| 作者单位： | 北京师范大学数学科学学院,100875,北京;北京联合大学应用文理学院,100038,北京;遥感科学国家重点实验室,中国科学院遥感应用研究所,100101,北京;中国科学院数学与系统科学研究院,100080,北京 |
| |
| 摘 要： | 在考虑算子及右端项都扰动的情况下,研究求解第一类算子方程的正则参数选择方法.提出了一种新的正则参数选择策略:即修正的广义偏差原则(MGDP)并进行了理论分析,数值试验则进一步证明了该方法的有效性.
|
| 关 键 词： | 不适定问题 正则化方法 MGDP |
| 收稿时间： | 2005-06-22 |
| 修稿时间： | 2005年6月22日 |
A NEW METHOD OF CHOOSING REGULARIZATION PARAMETER WITH PERTURBED OPERATOR AND NOISY DATA |
| |
| Fan Shufang,Ma Qinghua,Wang Yanfei.A NEW METHOD OF CHOOSING REGULARIZATION PARAMETER WITH PERTURBED OPERATOR AND NOISY DATA[J].Journal of Beijing Normal University(Natural Science),2006,42(1):25-31. |
| |
| Authors: | Fan Shufang Ma Qinghua Wang Yanfei |
| |
| Institution: | 1.School of Mathematical Sciences, Beijing Normal University, 100875, Beijing, China; 2.Department of Information Sciences, College of Arts and Science, Beijing Union University, 100038, Beijing, China; 3.Institute of Remote Sensing Applications, Chinese Academy of Sciences, 100101, Beijing, China; 4.Academy of Mathematics and System Sciences, Chinese Academy of Sciences, 100080, Beijing, China |
| |
| Abstract: | Many inverse problems in mathematical physics can be considered as an operator equations of the first kind.Essentially,inverse problems are ill-posed,therefore regularization is a must.As is known,the choice of the regularization parameter is a key matter for ensuring proper regularization.The method of iterative choices of regularization parameter with perturbed operator and noisy data for solving operator equations of the first kind is investigated.A modified GDP for finding some reasonable regularization parameters in an efficient manner is proposed.Numerical experiments for integral equations of the first kind are presented to illustrate the efficiency of the proposed algorithms. |
| |
| Keywords: | ill-posed problems regularization MGDP |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
|
