Generalized Semi-infinite Polynomial Optimization and Semidefinite Programming Relaxations

This paper focuses on the study of a generalized semi-infinite programming, where the objective and the constraint functions are all real polynomials.We present amethod for finding ts global minimizers and global minimum using a hierarchy of semidefinite programming relaxations and prove the converg...

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Bibliografiset tiedot
Päätekijät: Liguo Jiao, Jae Hyoung, Phạm, Tiến Sơn
Aineistotyyppi: Journal article
Kieli:English
Julkaistu: 2024
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Linkit:https://scholar.dlu.edu.vn/handle/123456789/3630
https://doi.org/10.1007/s40306-024-00551-7
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Yhteenveto:This paper focuses on the study of a generalized semi-infinite programming, where the objective and the constraint functions are all real polynomials.We present amethod for finding ts global minimizers and global minimum using a hierarchy of semidefinite programming relaxations and prove the convergence result for the method. Numerical experiments are presented to show the efficiency of the proposed algorithm.