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JOURNALS // Matematicheskii Sbornik // Archive

Mat. Sb. (N.S.), 1977 Volume 104(146), Number 2(10), Pages 314–333 (Mi sm3880)

On optimal algorithms for operator equations of the first kind with a perturbed operator

V. P. Tanana


Abstract: In this paper the optimality of some methods for solving linear operator equations of the first kind with a perturbed operator is investigated, and unimprovable error estimates for these methods in a class of solution are derived.
Bibliography: 17 titles.

UDC: 517.951

MSC: Primary 65J05; Secondary 47A50

Received: 27.05.1976


 English version:
Mathematics of the USSR-Sbornik, 1977, 33:2, 281–297

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