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

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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. 
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     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},
     publisher = {mathdoc},
     number = {5},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VYURM_2011_5_a2/}
}
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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/