Conditions of sourcewise representation and rates of convergence of methods for solving ill-posed operator equations. Part II
Numerical methods and programming, Tome 2 (2001) no. 1, pp. 65-91
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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:
regularization methods, nonlinear operator equations, ill-posed problems.
Mots-clés : sourcewise representation
Mots-clés : sourcewise representation
@article{VMP_2001_2_1_a5,
author = {A. B. Bakushinskii and M. Yu. Kokurin},
title = {Conditions of sourcewise representation and rates of convergence of methods for solving ill-posed operator equations. {Part} {II}},
journal = {Numerical methods and programming},
pages = {65--91},
publisher = {mathdoc},
volume = {2},
number = {1},
year = {2001},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VMP_2001_2_1_a5/}
}
TY - JOUR AU - A. B. Bakushinskii AU - M. Yu. Kokurin TI - Conditions of sourcewise representation and rates of convergence of methods for solving ill-posed operator equations. Part II JO - Numerical methods and programming PY - 2001 SP - 65 EP - 91 VL - 2 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/VMP_2001_2_1_a5/ LA - ru ID - VMP_2001_2_1_a5 ER -
%0 Journal Article %A A. B. Bakushinskii %A M. Yu. Kokurin %T Conditions of sourcewise representation and rates of convergence of methods for solving ill-posed operator equations. Part II %J Numerical methods and programming %D 2001 %P 65-91 %V 2 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/VMP_2001_2_1_a5/ %G ru %F VMP_2001_2_1_a5
A. B. Bakushinskii; M. Yu. Kokurin. Conditions of sourcewise representation and rates of convergence of methods for solving ill-posed operator equations. Part II. Numerical methods and programming, Tome 2 (2001) no. 1, pp. 65-91. http://geodesic.mathdoc.fr/item/VMP_2001_2_1_a5/