On Difference-of-SOS and Difference-of-Convex-SOS Decompositions for Polynomials-Reference-Cited by-同舟云学术

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On Difference-of-SOS and Difference-of-Convex-SOS Decompositions for Polynomials

Published:2024-05-24 Issue:2 Volume:34 Page:1852-1878
ISSN:1052-6234
Container-title:SIAM Journal on Optimization
language:en
Short-container-title:SIAM J. Optim.

Author:

Niu Yi-Shuai¹^ORCID,Le Thi Hoai An²^ORCID,Pham Dinh Tao³

Affiliation:

1. Beijing Institute of Mathematical Sciences and Applications, Beijing, 101408, China.

2. University of Lorraine and Institut Universitaire de France-IUF, LCOMS, Metz, F-57000, France.

3. National Institute of Applied Sciences of Rouen, Laboratory of Mathematics, France.

Funder

National Natural Science Foundation of China

Key Construction National

Research Grants Council

Publisher

Society for Industrial & Applied Mathematics (SIAM)

Reference48 articles.

1. DC decomposition of nonconvex polynomials with algebraic techniques

2. DSOS and SDSOS Optimization: More Tractable Alternatives to Sum of Squares and Semidefinite Optimization

3. NP-hardness of deciding convexity of quartic polynomials and related problems

4. A Complete Characterization of the Gap between Convexity and SOS-Convexity

5. A convex polynomial that is not sos-convex

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