On the Convergence of One Class of the Regularization Methods for Ill-Posed Quadratic Minimization Problems With Constraint
Publications de l'Institut Mathématique, _N_S_97 (2015) no. 111, p. 89
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We study a class of regularization methods for solving least-squares ill-posed problem with a convex constraint.
Convergence and convergence rate results are proven for the problems which satisfy so called power source condition.
All the results are obtained under the assumptions that, instead of exact initial data, only their approximations are known.
@article{10_2298_PIM140923001J,
author = {Milojica Ja\'cimovi\'c and Izedin Krni\'c and Oleg Obradovi\'c},
title = {On the {Convergence} of {One} {Class} of the {Regularization} {Methods} for {Ill-Posed} {Quadratic} {Minimization} {Problems} {With} {Constraint}},
journal = {Publications de l'Institut Math\'ematique},
pages = {89 },
year = {2015},
volume = {_N_S_97},
number = {111},
doi = {10.2298/PIM140923001J},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.2298/PIM140923001J/}
}
TY - JOUR AU - Milojica Jaćimović AU - Izedin Krnić AU - Oleg Obradović TI - On the Convergence of One Class of the Regularization Methods for Ill-Posed Quadratic Minimization Problems With Constraint JO - Publications de l'Institut Mathématique PY - 2015 SP - 89 VL - _N_S_97 IS - 111 UR - http://geodesic.mathdoc.fr/articles/10.2298/PIM140923001J/ DO - 10.2298/PIM140923001J LA - en ID - 10_2298_PIM140923001J ER -
%0 Journal Article %A Milojica Jaćimović %A Izedin Krnić %A Oleg Obradović %T On the Convergence of One Class of the Regularization Methods for Ill-Posed Quadratic Minimization Problems With Constraint %J Publications de l'Institut Mathématique %D 2015 %P 89 %V _N_S_97 %N 111 %U http://geodesic.mathdoc.fr/articles/10.2298/PIM140923001J/ %R 10.2298/PIM140923001J %G en %F 10_2298_PIM140923001J
Milojica Jaćimović; Izedin Krnić; Oleg Obradović. On the Convergence of One Class of the Regularization Methods for Ill-Posed Quadratic Minimization Problems With Constraint. Publications de l'Institut Mathématique, _N_S_97 (2015) no. 111, p. 89 . doi: 10.2298/PIM140923001J
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