Morozov's discrepancy principle and Tikhonov-type functionals
Morozov's discrepancy principle and Tikhonov-type functionals
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DOI：
10.1088/0266-5611/25/1/015015
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发表时间：
2009-01-01
期刊：
影响因子：
2.1
通讯作者：
Bonesky, Thomas
中科院分区：
文献类型：
--
作者：
Bonesky, Thomas
本文讨论了著名的莫罗佐夫差异原理。我们证明了该原理可以作为一个后验选择规则来确定Tikhonov正则化的正则化参数，考虑比经典二次正则化更一般的惩罚项。我们展示了正则化性质和收敛速率。
This paper deals with the well-known discrepancy principle of Morozov. We show that the principle can be used as an a posteriori choice rule for determining the regularization parameter of Tikhonov regularization considering more general penalty terms than the classical quadratic one. We show regularization properties as well as convergence rates.