On the optimality of a~generalization of M.\,M.~Lavrent'ev's method in the solution of equations with an error in the operator
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 19 (2013) no. 1, pp. 258-263
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The optimality of M. M. Lavrent'ev's method for equations with approximately given operator is investigated. An exact estimate is obtained for the error of this method.
Keywords:
operator equation, optimal method, error estimate.
@article{TIMM_2013_19_1_a25,
author = {V. P. Tanana and A. B. Bredikhina},
title = {On the optimality of a~generalization of {M.\,M.~Lavrent'ev's} method in the solution of equations with an error in the operator},
journal = {Trudy Instituta matematiki i mehaniki},
pages = {258--263},
publisher = {mathdoc},
volume = {19},
number = {1},
year = {2013},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TIMM_2013_19_1_a25/}
}
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%0 Journal Article %A V. P. Tanana %A A. B. Bredikhina %T On the optimality of a~generalization of M.\,M.~Lavrent'ev's method in the solution of equations with an error in the operator %J Trudy Instituta matematiki i mehaniki %D 2013 %P 258-263 %V 19 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/TIMM_2013_19_1_a25/ %G ru %F TIMM_2013_19_1_a25
V. P. Tanana; A. B. Bredikhina. On the optimality of a~generalization of M.\,M.~Lavrent'ev's method in the solution of equations with an error in the operator. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 19 (2013) no. 1, pp. 258-263. http://geodesic.mathdoc.fr/item/TIMM_2013_19_1_a25/