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On convergence rates for the iteratively regularized Gauss-Newton method. (English) Zbl 0881.65050
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.

MSC:
65J15 Numerical solutions to equations with nonlinear operators
65J20 Numerical solutions of ill-posed problems in abstract spaces; regularization
47J25 Iterative procedures involving nonlinear operators
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