| 变分不等式证明正则化的线性不适定问题 |
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| 引用本文： | 杨茜,季光明,郭二玲. 变分不等式证明正则化的线性不适定问题[J]. 太原师范学院学报(自然科学版), 2012, 0(3): 19-21 |
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| 作者姓名： | 杨茜 季光明 郭二玲 |
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| 作者单位： | 成都理工大学管理科学学院 |
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| 摘 要： | 学习过线性不适定问题正则化以后,发现关于Bregman距离的线性收敛率的证明,是在古典假设的一个标准原条件下推导出来的.利用变分不等式,我们将在文章中讨论一阶收敛率的情况,即残差法、偏差原则的Tikhonov正则化.
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| 关 键 词： | 正则化 变分不等式 Tikhonov正则化 收敛率 |
Regularization of Linear Ill-Posed Problems Proven by Variational Inequalities |
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| Yang Xi Ji Guangming Guo Erling. Regularization of Linear Ill-Posed Problems Proven by Variational Inequalities[J]. Journal of Taiyuan Normal University:Natural Science Edition, 2012, 0(3): 19-21 |
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| Authors: | Yang Xi Ji Guangming Guo Erling |
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| Affiliation: | Yang Xi Ji Guangming Guo Erling(College of Management Science,Chengdu University of Technology,Chengdu 610059,China) |
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| Abstract: | Learning regularization of linear ill-posed problems later,finding out the proof of linear convergence rates with respect to the Bregman distance have been derived under the classical assumption of a standard source condition.Using the method of variational inequalities,we will be discussing convergence rates of first order both for the case of Residual method and Tikhonov regularization with discrepancy principle. |
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| Keywords: | regularization variational inequalities Tikhonov regularization convergence rates |
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