Geodesic
About optimality of the M. M. Lavrentiev method when solving equations with operator error
Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematika, mehanika, fizika, no. 5 (2011), pp. 18-22 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

In the article the author analyses the optimality of Lavrentiev method for equations with approximate defined operator for optimality. The accurate error estimate for the solution of the method was obtained.
Keywords: operator equation, optimal method, accuracy appraisal. 
@article{VYURM_2011_5_a2,
     author = {A. B. Bredikhina},
     title = {About optimality of the {M.~M.~Lavrentiev} method when solving equations with operator error},
     journal = {Vestnik \^U\v{z}no-Uralʹskogo gosudarstvennogo universiteta. Seri\^a, Matematika, mehanika, fizika},
     pages = {18--22},
     year = {2011},
     number = {5},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VYURM_2011_5_a2/}
}
TY  - JOUR
AU  - A. B. Bredikhina
TI  - About optimality of the M. M. Lavrentiev method when solving equations with operator error
JO  - Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematika, mehanika, fizika
PY  - 2011
SP  - 18
EP  - 22
IS  - 5
UR  - http://geodesic.mathdoc.fr/item/VYURM_2011_5_a2/
LA  - ru
ID  - VYURM_2011_5_a2
ER  - 
%0 Journal Article
%A A. B. Bredikhina
%T About optimality of the M. M. Lavrentiev method when solving equations with operator error
%J Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematika, mehanika, fizika
%D 2011
%P 18-22
%N 5
%U http://geodesic.mathdoc.fr/item/VYURM_2011_5_a2/
%G ru
%F VYURM_2011_5_a2
A. B. Bredikhina. About optimality of the M. M. Lavrentiev method when solving equations with operator error. Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematika, mehanika, fizika, no. 5 (2011), pp. 18-22. http://geodesic.mathdoc.fr/item/VYURM_2011_5_a2/

[1] Strakhov V. N., Dif. uravnenija, 6:8 (1970), 1490–1495 (in Russ.)

[2] Tanana V. P., Methods of solution of operator equations, Nauka, M., 1981, 156 pp. (in Russ.)