Articles with "polynomial optimization" as a keyword



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Solving Fractional Polynomial Problems by Polynomial Optimization Theory

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Published in 2018 at "IEEE Signal Processing Letters"

DOI: 10.1109/lsp.2018.2864620

Abstract: This letter aims at introducing the framework of polynomial optimization theory to solve fractional polynomial problems (FPPs). Unlike other widely used optimization frameworks, the proposed one applies to a larger class of FPPs, not necessarily… read more here.

Keywords: fractional polynomial; optimization; polynomial optimization; polynomial problems ... See more keywords
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Semidefinite relaxation method for polynomial optimization with second-order cone complementarity constraints

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Published in 2021 at "Journal of Industrial and Management Optimization"

DOI: 10.3934/jimo.2021030

Abstract: Polynomial optimization problem with second-order cone complementarity constraints (SOCPOPCC) is a special case of mathematical program with second-order cone complementarity constraints (SOCMPCC). In this paper, we consider how to apply Lasserre's type of semidefinite relaxation… read more here.

Keywords: relaxation method; optimization; polynomial optimization; second order ... See more keywords