Geodesic
Necessary conditions for the power convergence rate of a class of iterative
Numerical methods and programming, Tome 3 (2002) no. 1, pp. 93-109.

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We study the rate of convergence of a class of iterative methods for solving nonlinear ill-posed equations with operators possessing sectorial derivatives. It is found that the condition of sourcewise representation for an initial residual with a positive exponent (which is sufficient for power convergence estimates with the same exponent) is actually close to a necessary one and cannot be substantially weakened.
Keywords: nonlinear operators, differentiable operators, operator equations, Banach space, iterative methods
Mots-clés : sourcewise condition, convergence rate. 
@article{VMP_2002_3_1_a5,
     author = {M. Yu. Kokurin and V. V. Klyuchev},
     title = {Necessary conditions for the power convergence rate of a class of iterative},
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     pages = {93--109},
     publisher = {mathdoc},
     volume = {3},
     number = {1},
     year = {2002},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMP_2002_3_1_a5/}
}
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M. Yu. Kokurin; V. V. Klyuchev. Necessary conditions for the power convergence rate of a class of iterative. Numerical methods and programming, Tome 3 (2002) no. 1, pp. 93-109. http://geodesic.mathdoc.fr/item/VMP_2002_3_1_a5/