Improved Tikhonov regularization Research and Applied in Inverse Problem

机译：改进了Tikhonov正规化研究并应用于反问题

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The regularization which constructs with the first filter function is precisely the Tikhonov regularization. This article has proven the Tikhonov functional minimization problem is decides suitably, namely satisfies the solution the existence, the solution unique reconciliation to rely on continuously the data stability; and this minimization problem in solves the first class equation equally the normal equation. The numerical simulation experiment's result indicated that distinguishes the inverse with the regular reduction solution parameter to have the numerical precision to be high and the stability is good and convergence rate quick characteristic.

机译：使用第一个过滤功能构造的正则化正是Tikhonov规范。本文已证明Tikhonov功能最小化问题是合适的，即满足解决方案的存在，解决方案独特的和解依靠连续数据稳定;并且这种最小化问题在解决第一类方程中等正常方程。数值模拟实验结果表明，与常规缩减解决方案参数的反向区分为具有高度的数值精度，稳定性良好且收敛速度快速特性。

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《International Conference on Intelligent Structure and Vibration Control》|2011年||共4页
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Yamian Peng; Kaili Wang; Huancheng Zhang;
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中图分类 TP18-53;
关键词
Partial differential equation; Inverse problem; Tikhonov regularization; Ill-pose;

机译：部分微分方程;反问题;Tikhonov规则化;ILL-POSE;

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2. Tikhonov regularization in L~p applied to inverse medium scattering [J] . Lechleiter A., Kazimierski K.S., Karamehmedovi? M. Inverse Problems: An International Journal of Inverse Problems, Inverse Methods and Computerised Inversion of Data . 2013,第7期

机译：L〜p中的Tikhonov正则化应用于逆介质散射
3. Tikhonov regularization applied to the inverse problem of option pricing: convergence analysis and rates [J] . Egger H, Engl HW Inverse Problems: An International Journal of Inverse Problems, Inverse Methods and Computerised Inversion of Data . 2005,第3期

机译：Tikhonov正则化应用于期权定价的反问题：收敛分析和费率
4. TIKHONOV REGULARIZATION METHODS FOR INVERSE MIXED QUASI-VARIATIONAL INEQUALITIES [J] . Journal of nonlinear and convex analysis . 2020,第2期

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5. Improved Tikhonov regularization Research and Applied in Inverse Problem [C] . Yamian Peng, Kaili Wang, Huancheng Zhang International Conference on Intelligent Structure and Vibration Control . 2011

机译：改进了Tikhonov正规化研究并应用于反问题
6. A “Divide and Conquer” Approach to Estimating Tikhonov Regularization Parameter Via Leave-One-Out Cross-Validation for Function-On-Function Regression [D] . Wang, Yichuan. 2020

机译：通过休假逐个函数回归估算Tikhonov正规化参数的“分割和征服”方法
7. Considering New Regularization Parameter-Choice Techniques for the Tikhonov Method to Improve the Accuracy of Electrocardiographic Imaging [O] . Judit Chamorro-Servent, Rémi Dubois, Yves Coudière -1

机译：为Tikhonov方法考虑新的正则化参数选择技术以提高心电图成像的准确性
8. Tikhonov regularization applied to the inverse problem of option pricing: convergence analysis and rates [O] . Herbert Egger, Heinz W. Engl 2005

机译：Tikhonov正则化应用于期权定价的反问题：收敛性分析和费率

Improved Tikhonov regularization Research and Applied in Inverse Problem

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