2017
Том 69
№ 12

# Approximate solution of linear operator eqmtions in a Banach space by Yu. D. Sokolov's Method

Luchka A. Y.

Abstract

Yu. D. Sokolov's method was applied to obtain approximate solutions (16) of the linear operator equation (2) in a Banach space. The sufficient condition $L_k < 1$ (29) for the convergence of the process is derived; estimates of the error (41), (42) and (44) are given; and the efficacy of Yu. D. Sokolov's method is illustrated by examples.

Citation Example: Luchka A. Y. Approximate solution of linear operator eqmtions in a Banach space by Yu. D. Sokolov's Method  // Ukr. Mat. Zh. - 1961. - 13, № 1. - pp. 39-52.

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