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Upravlenie Bol'shimi Sistemami, 2013, Issue 43, Pages 95–123
(Mi ubs676)
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This article is cited in 3 scientific papers (total in 3 papers)
Mathematical Control Theory
Atomic optimization, part 2: multidimensional problems and polynomial matrix inequalities
V. V. Pozdyaev Arzamas Polytechnical Institute of R. E. Alekseev Nizhny Novgorod State Technical University
Abstract:
We investigate multidimensional optimization problems with polynomial objective function and polynomial matrix inequality constraints and suggest a transformation of the moment-theory-based solution technique. It allows reducing significantly the computational complexity while keeping the ability to solve the problems of the class under consideration.
Keywords:
nonlinear programming, matrix inequalities, polynomial inequalities, moment theory.
Citation:
V. V. Pozdyaev, “Atomic optimization, part 2: multidimensional problems and polynomial matrix inequalities”, UBS, 43 (2013), 95–123
Linking options:
https://www.mathnet.ru/eng/ubs676 https://www.mathnet.ru/eng/ubs/v43/p95
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Statistics & downloads: |
Abstract page: | 249 | Full-text PDF : | 72 | References: | 48 | First page: | 2 |
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