摘要
本文证明了实对称矩阵成为双正矩阵或严格双正矩阵的充分必要条件,此充分必要条件与所考虑实对称阵之主子矩阵的特征值及特征向量有关。
In this paper,we prove necessary and sufficient conditions that a real symmetric matrix be copositive or strictly copositive.The conditions are given in terms of the eigenvalues and eigenvectors of the principal submatrices of the matrix concerned.
