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Upravlenie Bol'shimi Sistemami, 2015, Issue 54, Pages 66–85
(Mi ubs799)
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Mathematical Control Theory
Dual form reduction in the atomic optimization method
V. V. Pozdyaev Arzamas Polytechnical Institute of R.E. Alekseev Nizhny Novgorod State Technical University
Abstract:
Unidimensional optimization problems with polynomial objective function and inequality constraints are considered. For problems dual to their linear relaxations a transformation is presented that makes them compatible with the atomic optimization method, both in its basic and in the generalized form with a reduced number of atoms.
Keywords:
nonlinear programming, matrix inequalities, polynomial inequalities, moment theory.
Citation:
V. V. Pozdyaev, “Dual form reduction in the atomic optimization method”, UBS, 54 (2015), 66–85; Autom. Remote Control, 78:5 (2017), 940–952
Linking options:
https://www.mathnet.ru/eng/ubs799 https://www.mathnet.ru/eng/ubs/v54/p66
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Statistics & downloads: |
Abstract page: | 159 | Full-text PDF : | 59 | References: | 37 |
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