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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:
65J15Equations with nonlinear operators (numerical methods)
65J20Improperly posed problems; regularization (numerical methods in abstract spaces)
47J25Iterative procedures (nonlinear operator equations)