论文信息 - On the Landweber iteration for nonlinear ill-posed problems

On the Landweber iteration for nonlinear ill-posed problems

We review convergence conditions and regularization properties of Landweber iteration applied to nonlinear ill-posed operator equations. A number of examples is given to illustrate the preassumptions required for the inherent regularization of Landweber iteration. Counterexamples are constructed which show that assumptions of this kind are necessary.

O. SCHERZER | A. BINDER | M. HANKE

[1] H. Engl,et al. Convergence rates for Tikhonov regularisation of non-linear ill-posed problems , 1989 .

[2] R. Kress,et al. Inverse Acoustic and Electromagnetic Scattering Theory , 1992 .

[3] M. Hanke. Accelerated Landweber iterations for the solution of ill-posed equations , 1991 .

[4] K. Kunisch,et al. Stability for parameter estimation in two point boundary value problems. , 1986 .

[5] B. Hofmann,et al. On the degree of ill-posedness for nonlinear problems , 1994 .