Runge–Kutta type total variation regularization for nonlinear inverse problems
作者:
Highlights:
• RK type TV regularization for the nonlinear ill-posed problems is constructed.
• This method introduced Bregman distance as regularization functional.
• Under appropriate stopping rule this method with noise is convergent.
• Numerical tests testify the method for problems with discontinuous solutions.
摘要
•RK type TV regularization for the nonlinear ill-posed problems is constructed.•This method introduced Bregman distance as regularization functional.•Under appropriate stopping rule this method with noise is convergent.•Numerical tests testify the method for problems with discontinuous solutions.
论文关键词:Nonlinear ill-posed problems,Runge–Kutta type,Total variation,Regularization,Bregman distance
论文评审过程:Received 6 April 2012, Revised 27 September 2013, Available online 18 December 2013.
论文官网地址:https://doi.org/10.1016/j.cam.2013.12.012