HIGH-ORDER COPOSITIVE TENSORS AND ITS APPLICATIONS

Haibin Chen; Yiju Wang

doi:10.11948/2018.1863

2018 Volume 8 Issue 6

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Haibin Chen, Yiju Wang. HIGH-ORDER COPOSITIVE TENSORS AND ITS APPLICATIONS[J]. Journal of Applied Analysis & Computation, 2018, 8(6): 1863-1885. doi: 10.11948/2018.1863

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Haibin Chen, Yiju Wang. HIGH-ORDER COPOSITIVE TENSORS AND ITS APPLICATIONS[J]. Journal of Applied Analysis & Computation, 2018, 8(6): 1863-1885. doi: 10.11948/2018.1863

HIGH-ORDER COPOSITIVE TENSORS AND ITS APPLICATIONS

School of Management Science, Qufu Normal University, Rizhao, Shandong, 276800, China

Fund Project:

Abstract

Abstract

With the coming of the big data era, high-order high-dimensional structured tensors received much attentions of researchers' in recent years, and now they are developed into a new research branch in mathematics named multilinear algebra. As a special kind of structured tensor, the copositive tensor receives a special concern due to its wide applications in vacuum stability of a general scalar potential, polynomial optimization, tensor complementarity problem and tensor eigenvalue complementarity problem. In this review, we will give a simple survey on recent advances of high-order copositive tensors and its applications. Some potential research directions in the future are also listed in the paper.
- Copositive tensor /
- tensor complementarity problem /
- homogeneous polynomial /
- tensor eigenvalue /
- hypergraphs
MSC: 65H17;15A18;90C30

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References

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