Abstract
The paper studies multidimensional optimization problems with a polynomial objective function and constraints in the form of polynomial matrix inequalities. The author suggests a transformation of the solution method based on the theory of moments. This transformation allows to reduce appreciably the computational complexity of the method, still preserving its applicability to optimization problems of the above class.
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Original Russian Text © V.V. Pozdyayev, 2013, published in Upravlenie Bol’shimi Sistemami, 2013, No. 43, pp. 217–239.
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Pozdyayev, V.V. Atomic optimization. II. Multidimensional problems and polynomial matrix inequalities. Autom Remote Control 75, 1155–1171 (2014). https://doi.org/10.1134/S0005117914060150
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DOI: https://doi.org/10.1134/S0005117914060150