Geodesic
A class of stable iterative methods for solving nonlinear ill-posed operator equations
Numerical methods and programming, Tome 3 (2002) no. 1, pp. 180-186

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We justify a general scheme for constructing iterative methods intended to solve nonlinear ill-posed operator equations. Some known methods as well as new ones can be generated on the basis of this scheme. It is proved that the methods we propose are stable with respect to perturbations in input data. Several aspects of practical implementation of the scheme are also discussed.
Keywords: nonlinear operators, differentiable operators, operator equations, ill-posed problems, approximate data, stable methods, iterative processes. 
@article{VMP_2002_3_1_a15,
     author = {A. I. Kozlov},
     title = {A class of stable iterative methods for solving nonlinear ill-posed operator equations},
     journal = {Numerical methods and programming},
     pages = {180--186},
     publisher = {mathdoc},
     volume = {3},
     number = {1},
     year = {2002},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMP_2002_3_1_a15/}
}
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A. I. Kozlov. A class of stable iterative methods for solving nonlinear ill-posed operator equations. Numerical methods and programming, Tome 3 (2002) no. 1, pp. 180-186. http://geodesic.mathdoc.fr/item/VMP_2002_3_1_a15/