Semidefinite program duals for separable polynomial programs involving box constraints (Q1985290)
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scientific article; zbMATH DE number 7187335
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Semidefinite program duals for separable polynomial programs involving box constraints |
scientific article; zbMATH DE number 7187335 |
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Semidefinite program duals for separable polynomial programs involving box constraints (English)
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7 April 2020
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A dual problem to a separable polynomial optimization problem with box constraints is proposed, by means of sums of squares univariate polynomials, and it is shown that it can be reformulated as a semidefinite programming problem. A corresponding strong duality statement is provided under convexification and Slater-type qualification conditions. Illustrating examples are given, too.
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polynomial program
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semidefinite linear program
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dual problem
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Slater's condition
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box constraint
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