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An SDP Method for Copositivity of Partially Symmetric Tensors

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  • Chunyan Wang
  • Haibin Chen
  • Haitao Che

Abstract

In this paper, we consider the problem of detecting the copositivity of partially symmetric rectangular tensors. We first propose a semidefinite relaxation algorithm for detecting the copositivity of partially symmetric rectangular tensors. Then, the convergence of the proposed algorithm is given, and it shows that we can always catch the copositivity of given partially symmetric tensors. Several preliminary numerical results confirm our theoretical findings.

Suggested Citation

  • Chunyan Wang & Haibin Chen & Haitao Che, 2020. "An SDP Method for Copositivity of Partially Symmetric Tensors," Mathematical Problems in Engineering, Hindawi, vol. 2020, pages 1-8, August.
    • Handle: RePEc:hin:jnlmpe:5894518
    DOI: 10.1155/2020/5894518
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