- Colton, D, and Kress, R, 1998. Inverse Acoustic and Electromagnetic Scattering Theory. Berlin. 1998. p. p. 334.
- Adams, R, 1975. Sobolev Spaces. New York. 1975. p. p. 268.
- Hohage, T, 2001. On the numerical solution of a three-dimensional inverse medium scattering problem, Inverse Problems 17 (2001), pp. 1743–1763.
- Tikhonov, AN, Leonov, AS, and Yagola, AG, 1998. Nonlinear Ill-posed Problems. V.1 and V.2. London. 1998. p. p. 387.
- Bakushinsky, A, and Goncharsky, A, 1994. Ill-posed Problems : Theory and Applications. Dordrecht. 1994. p. p. 258.
- Engl, H, Hanke, M, and Neubauer, A, 1996. Regularization of Inverse Problems. Dordrecht. 1996. p. p. 321.
- Hettlich, F, 1998. The Landweber iteration applied to inverse conductive scattering problems, Inverse Problems 14 (1998), pp. 931–947.
- Hettlich, F, and Rundell, W, 1996. Iterative methods for the reconstruction of an inverse potential problem, Inverse Problems 12 (1996), pp. 251–266.
- Hohage, T, and Schormann, C, 1998. A Newton-type method for a transmission problem in inverse scattering, Inverse Problems 14 (1998), pp. 1207–1227.
- Kozlov, AI, 2002. A class of stable iterative methods for solving nonlinear ill-posed operator equations, Advanced Computing. Numerical Methods and Programming 3 (2002), pp. 180–186, Sec. 1.
- Bazaraa, MS, and Shetty, CM, 1979. Nonlinear Programming. Theory and Algorithms. New York. 1979. p. p. 560.
- Dennis, JE, and Schnabel, RB, 1983. Numerical Methods for Unconstrained Optimization and Nonlinear Equations. New Jersey. 1983. p. p. 378.
- Bakushinsky, AB, and Kokurin, Yu., M, 2002. Iterative Methods for Solving Ill-posed Operator Equations with Smooth Operators. Moscow. 2002. p. p. 192.
- Kleinman, RE, and van den Berg, PM, 1992. A modified gradient method for two-dimensional problems in tomography, Journal of Computational and Applied Mathematics 42 (1992), pp. 17–35.
Free access
On stable iterative methods of gradient type for the inverse medium scattering problem
Reprints and Corporate Permissions
Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?
To request a reprint or corporate permissions for this article, please click on the relevant link below:
Academic Permissions
Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?
Obtain permissions instantly via Rightslink by clicking on the button below:
If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.
Related research
People also read lists articles that other readers of this article have read.
Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.
Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.