Geodesic
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. 
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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/

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[3] Ivanov V. K., Vasin V. V., Tanana V. P., Teoriya lineinykh nekorrektnykh zadach i ee prilozheniya, Nauka, M., 1978, 206 pp. | MR

[4] Bredikhina A. B., “Ob optimalnosti metoda M. M. Lavrenteva pri reshenii uravnenii s oshibkoi v operatore”, Vestn. YuUrGU, 2011, no. 5, No 32(249) (Matematika. Fizika. Mekhanika), 18–22