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JOURNALS // Matematicheskii Sbornik // Archive

Mat. Sb. (N.S.), 1986 Volume 129(171), Number 2, Pages 218–231 (Mi sm1817)

This article is cited in 10 papers

On some algorithms for solving ill-posed extremal problems

A. S. Leonov


Abstract: Variational regularizing algorithms are presented and justified for solving ill-posed extremal problems with an approximately given functional. The algorithms use “non a priori” ways of choosing the regularization parameter according to the generalized residual principle, the generalized quasisolution principle, and the generalized smoothing functional principle for extremal problems.
Bibliography: 17 titles.

UDC: 517.9

MSC: Primary 35R25, 49A99; Secondary 49D30, 58E15, 65K10

Received: 16.01.1985


 English version:
Mathematics of the USSR-Sbornik, 1987, 57:1, 229–242

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© Steklov Math. Inst. of RAS, 2026