Optimal methods for solving ill-posed problems with sourcewise representated solutions
Fundamentalʹnaâ i prikladnaâ matematika, Tome 4 (1998) no. 3, pp. 1029-1046
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The new class of stable methods for solving linear ill-posed problems is proposed. These methods take into account the information about sourcewise representation of normal pseudosolution to be sought. They are optimal in order of accuracy. Furthemore, these algorithms have the additional property of adaptiveness.
@article{FPM_1998_4_3_a10,
author = {A. S. Leonov and A. G. Yagola},
title = {Optimal methods for solving ill-posed problems with sourcewise representated solutions},
journal = {Fundamentalʹna\^a i prikladna\^a matematika},
pages = {1029--1046},
year = {1998},
volume = {4},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/FPM_1998_4_3_a10/}
}
TY - JOUR AU - A. S. Leonov AU - A. G. Yagola TI - Optimal methods for solving ill-posed problems with sourcewise representated solutions JO - Fundamentalʹnaâ i prikladnaâ matematika PY - 1998 SP - 1029 EP - 1046 VL - 4 IS - 3 UR - http://geodesic.mathdoc.fr/item/FPM_1998_4_3_a10/ LA - ru ID - FPM_1998_4_3_a10 ER -
A. S. Leonov; A. G. Yagola. Optimal methods for solving ill-posed problems with sourcewise representated solutions. Fundamentalʹnaâ i prikladnaâ matematika, Tome 4 (1998) no. 3, pp. 1029-1046. http://geodesic.mathdoc.fr/item/FPM_1998_4_3_a10/