Characterizing a Class of Robust Vector Polynomial Optimization via Sum of Squares Conditions-Reference-Cited by-同舟云学术

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Characterizing a Class of Robust Vector Polynomial Optimization via Sum of Squares Conditions

Published:2023-03-03 Issue:2 Volume:197 Page:737-764
ISSN:0022-3239
Container-title:Journal of Optimization Theory and Applications
language:en
Short-container-title:J Optim Theory Appl

Author:

Sun Xiangkai,Tan Wen,Teo Kok Lay

Funder

ARC of the Piedmont

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Management Science and Operations Research,Control and Optimization

Link

https://link.springer.com/content/pdf/10.1007/s10957-023-02184-6.pdf

Reference46 articles.

1. Ahmadi, A.A., Majumdar, A.: Some applications of polynomial optimization in operations research and real-time decision making. Optim. Lett. 10, 709–729 (2016)

2. Ahmadi, A.A., Parrilo, P.A.: A convex polynomial that is not SOS-convex. Math. Program. 135, 275–292 (2012)

3. Ahmadi, A.A., Parrilo, P.A.: A complete characterization of the gap between convexity and SOS-convexity. SIAM J. Optim. 23, 811–833 (2013)

4. Ben-Tal, A., El Ghaoui, L., Nemirovski, A.: Robust Optimization. Princeton University Press, Princeton (2009)

5. Ben-Tal, A., Nemirovski, A.: Lectures on Modern Convex Optimization: Analysis, Algorithms, and Engineering Applications. SIAM, Philadelphia (2001)

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