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JOURNALS // Upravlenie Bol'shimi Sistemami // Archive

UBS, 2012 Issue 36, Pages 39–80 (Mi ubs580)

This article is cited in 10 papers

Systems Analysis

Atomic optimization, part 1: search space transformation and one-dimensional problems

V. V. Pozdyaev

Arzamas Polytechnical Institute of R. E. Alekseev Nizhny Novgorod State Technical University, Arzamas

Abstract: Optimization problems with polynomial objective function and inequality constraints are considered. A transformation of the moment theory-based solution method is presented, which allows to construct equivalent solution algorithms working in the augmented original search space instead of the moment space. One-dimensional problems are analyzed in detail.

UDC: 681.5.011 + 519.853.4
BBK: 32.965 + 22.18


 English version:
Automation and Remote Control, 2013, 74:12, 2069–2092

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© Steklov Math. Inst. of RAS, 2026