HIGH-ORDER COPOSITIVE TENSORS AND ITS APPLICATIONS | Zendy

Haibin Chen | Zendy; Yiju Wang | Zendy

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HIGH-ORDER COPOSITIVE TENSORS AND ITS APPLICATIONS

Author(s) -

Haibin Chen,

Yiju Wang

Publication year - 2018

Publication title -

journal of applied analysis and computation

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.55

H-Index - 21

eISSN - 2158-5644

pISSN - 2156-907X

DOI - 10.11948/2018.1863

Subject(s) - complementarity (molecular biology) , tensor (intrinsic definition) , multilinear map , complementarity theory , mathematics , eigenvalues and eigenvectors , multilinear algebra , algebra over a field , order (exchange) , scalar (mathematics) , pure mathematics , computer science , jordan algebra , physics , geometry , finance , current algebra , genetics , nonlinear system , quantum mechanics , economics , biology

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.

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