Tikhonov泛函近似罚项的灵敏性在反问题中的性质

Research on the Sensitivity of Tikhonov Functional Approximation Penalty Terms in Inverse Problem

根据光滑罚项近似非光滑罚项的研究,基于经典的Tikhonov泛函,在一定的假设条件下,研究讨论Banach空间中Tikhonov近似罚项的灵敏性在反问题中的性质与定理,并表明对于正则化参数是根据广义偏差原理选择的相应的稳定结果.

In order to study the sensitivity of approximate penalization in Tikhonov functional,this paper accords the study of smooth penalty approximate non-smooth penalty,based on the classical Tikhonov functional,and under certain assumptions,we studies and discusseds the properties and theorems of the sensitivity of Tikhonov functional approximation to the inverse problem in Banach spaces.The results show that the regularization parameter is a stable result which is selected according to the principle of the generalized deviation.