Recent progress on the study of copositivity of high-order tensors
In the era of big data,tensors have attracted much attention due to its ability in bearing higher-order and higher-dimensional information,which leads to extensive research on the theory,calcula-tion and application of tensors.As a special structured tensor,the copositive tensor plays an indispensable role in material physics,hypergraph theory,polynomial optimization,tensor complementarity and tensor ei-genvalue complementarity.This paper sorts out and summarizes the progress of numerical verification,al-gorithm and application of high order copositive tensors,and offers potential research avenues for the ad-vancement of large-scale,high-order copositive tensor-related problems in future studies.
copositive tensorhomogeneous polynomialtensor complementaritytensor eigen value
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