基数为2的极小零支集的极值余正矩阵
Extremal copositive matrices with minimal zero supports of cardinality two
摘要：
设$A \in {\cal C}^n$是具有单位对角线的极值余正矩阵.则$A$的极小零点都有基数2的支集当且仅当$A$的元素都来自集合$\{-1,0,1\}$。因此，基数为2的具有最小零支撑的极值余正矩阵正是Hoffman和Pereira在1973年刻画的极值$\{-1,0,1\}$单位对角矩阵通过对角标度得到的矩阵.
英文摘要：
Let $A \in {\cal C}^n$ be an extremal copositive matrix with unit diagonal. Then the minimal zeros of $A$ all have supports of cardinality two if and only if the elements of $A$ are all from the set $\{-1,0,1\}$. Thus the extremal copositive matrices with minimal zero supports of cardinality two are exactly those matrices which can be obtained by diagonal scaling from the extremal $\{-1,0,1\}$ unit diagonal matrices characterized by Hoffman and Pereira in 1973.
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