Geodesic
Conditions of sourcewise representation and rates of convergence of methods for solving ill-posed operator equations. Part I
Numerical methods and programming, Tome 1 (2000) no. 1, pp. 62-82.

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We outline some recent results on rates of convergence of regularization methods for linear ill-posed operator equations in Hilbert and Banach spaces. Special attention is paid to the necessity of sourcewise representation conditions for power estimates of convergence rates of the methods under consideration.
Keywords: linear ill-posed problems, Banach space, regularization
Mots-clés : convergence rate, sourcewise representation. 
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     title = {Conditions of sourcewise representation and rates of convergence of methods for solving ill-posed operator equations. {Part} {I}},
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A. B. Bakushinskii; M. Yu. Kokurin. Conditions of sourcewise representation and rates of convergence of methods for solving ill-posed operator equations. Part I. Numerical methods and programming, Tome 1 (2000) no. 1, pp. 62-82. http://geodesic.mathdoc.fr/item/VMP_2000_1_1_a5/