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Zbl 0881.65050
Blaschke, Barbara; Neubauer, Andreas; Scherzer, Otmar
On convergence rates for the iteratively regularized Gauss-Newton method. (English)
[J] IMA J. Numer. Anal. 17, No.3, 421-436 (1997). ISSN 0272-4979; ISSN 1464-3642/e

The paper is concerned with the solution of ill-posed nonlinear operator equations by means of the iteratively regularized Gauss-Newton method. A convergence theorem of the method as well as an a priori stopping rule are given in Section 2, while an a posteriori stopping rule is obtained in Section 3.
[V.Berinde (Baia Mare)]

MSC 2000:: *65J15 Equations with nonlinear operators (numerical methods)
65J20 Improperly posed problems (numerical methods in abstract spaces)
47J25 Methods for solving nonlinear operator equations (general)

Keywords: regularized Gauss-Newton method; nonlinear ill-posed problems; a priori stopping rule; a posteriori stopping rule

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