References
- H.W.Engl, M.Hanke, A.Neubauer, Regularization of Inverse Problems, Kluwer, Dordrecht, 1996.
- H.W.Engl and O.Scherzer, Convergence rates results for iterative methods for nonlinear ill-posed problems, D.Colton, etc.(eds), Surveys on Solution Method for Inverse Problems, Spring, Vienna/New York, 2000,7-34.
- M.Hanke, A regularizing Levenberg-Marquardt Scheme, with applications to inverse ground- water filtration problems, Inverse Problems, Vol.13(1997),No.1,79-95. https://doi.org/10.1088/0266-5611/13/1/007
- M.Hanke, Regularizing properties of a truncated Newton-CG algorithm for nonlinear inverse problems, Numerical Functional Analysis and Optimization, Vol.18(1997),971-993. https://doi.org/10.1080/01630569708816804
- G.Q.He and L.X.Liu, A kind of implicit iterative methods for ill-posed operator equations, Journal Of Computational Mathematics, Vol.17(1999),No.3,275-284.
- G.Q.He, X.G.Wang, L.X.Liu, Implicit iterative methods with variable control parameters for ill-posed operator equations, Acta Mathematica Scientia, Vol.20B(2000),No.4,485-494.
- G.He and Z.Meng, A newton type iterative method for heat-conduction inverse problems, Applied Mathematics and Mechanics, Vol.28(2007),531-539. https://doi.org/10.1007/s10483-007-0414-y
- A.Leitao and M.Alves, On level set type methods for elliptic cauchy problems, Inverse problems, Vol.23(2007),2207-2222. https://doi.org/10.1088/0266-5611/23/5/023
- G.L.Liu, Fundamentals of Gas Dynamics to Turbomachines, China Machine Press, 1980(in Chinese).
- Z.Meng and Z.Zhao, Newton-type method with double regularization parameters for nonlinear ill-posed problems, Proceedings 2009 IEEE international conference on intelligtent computing and intelligent systems, Vol.2(2009),367-373.
- F.Natter and F.Wubbeling, Mathematical Methods on Image Reconstruction, Philadephia SIAM, 2001.
- S.Pereverzyev, R.Pinnau, and N.Siedow, Regularized fixed-point iterations for nonlinear inverse problems, Inverse Problems, Vol.22(2006),1-22. https://doi.org/10.1088/0266-5611/22/1/001
- R.Ramlau, TIGRA-an iterative algorithm for regularizing nonlinear ill-posed problems, Inverse Problems, Vol.19(2003),No.2,433-465. https://doi.org/10.1088/0266-5611/19/2/312
- A.N.Tikhonov and V.Y.Arsenin, Solutions of Ill-posed Problems, New York: wiley, 1977.