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JOURNALS // Trudy Instituta Matematiki i Mekhaniki UrO RAN // Archive

Trudy Inst. Mat. i Mekh. UrO RAN, 2013 Volume 19, Number 1, Pages 258–263 (Mi timm920)

On the optimality of a generalization of M. M. Lavrent'ev's method in the solution of equations with an error in the operator

V. P. Tanana, A. B. Bredikhina

South Ural State University

Abstract: 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.

UDC: 517.948

Received: 26.03.2011



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