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Test of copositive tensors
- Source :
- Journal of Industrial & Management Optimization. 15:881-891
- Publication Year :
- 2019
- Publisher :
- American Institute of Mathematical Sciences (AIMS), 2019.
-
Abstract
- In this paper, an SDP relaxation algorithm is proposed to test the copositivity of higher order tensors. By solving finitely many SDP relaxations, the proposed algorithm can determine the copositivity of higher order tensors. Furthermore, for any copositive but not strictly copositive tensor, the algorithm can also check it exactly. Some numerical results are reported to show the efficiency of the proposed algorithm.
- Subjects :
- 0209 industrial biotechnology
021103 operations research
Control and Optimization
Applied Mathematics
Strategy and Management
Mathematics::Optimization and Control
0211 other engineering and technologies
02 engineering and technology
Relaxation algorithm
Mathematics::Spectral Theory
Atomic and Molecular Physics, and Optics
020901 industrial engineering & automation
Symmetric tensor
Order (group theory)
Applied mathematics
Polynomial optimization
Tensor
Business and International Management
Electrical and Electronic Engineering
Computer Science::Databases
Mathematics
Subjects
Details
- ISSN :
- 1553166X
- Volume :
- 15
- Database :
- OpenAIRE
- Journal :
- Journal of Industrial & Management Optimization
- Accession number :
- edsair.doi...........1a504d5ed528a8666eb26b8f58f737c5
- Full Text :
- https://doi.org/10.3934/jimo.2018075