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

Blaschke, Barbara; Neubauer, Andreas; Scherzer, Otmar

IMA J. Numer. Anal. 17, No. 3, 421-436 (1997).

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.

Reviewer: V.Berinde (Baia Mare)

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

Keywords:

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