Nonlinear methods for inverse problems

The general inverse problem is formulated as a nonlinear operator equation. The solution of this via the Newton-Kantorovich method is outlined. Fréchet differentiability of the operator is given by the implicit function theorem. We also consider questions such as uniqueness, stability and regulariza...

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Bibliographic Details
Main Author: Connolly, T. John
Language:en
Published: University of Canterbury. Mathematics 2013
Online Access:http://hdl.handle.net/10092/8563