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JOURNALS // Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika // Archive

Izv. Vyssh. Uchebn. Zaved. Mat., 2010 Number 12, Pages 20–31 (Mi ivm7157)

This article is cited in 12 papers

The global search in the Tikhonov scheme

M. Yu. Kokurin

Chair of Mathematical Analysis and Theory of Functions, Mari State University, Ioshkar-Ola, Russia

Abstract: The goal of this paper is to justify a general scheme for constructing two-stage iterative solution processes for irregular nonlinear operator equations based on the sequential approximate minimization of locally strongly convex Tikhonov functionals.

Keywords: ill-posed problem, Tikhonov scheme, global optimization, local strong convexity, source-wise representation.

UDC: 517.988

Received: 12.05.2009


 English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2010, 54:12, 17–26

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© Steklov Math. Inst. of RAS, 2026