【摘要】 矩阵∈AR^n×n称为实广义正定矩阵,如果对任意非零向量 X∈Rⁿ,有XTAX>0成立。本文讨论了矩阵的kronecker积。Hadamard积和矩阵乘积的正定性,给出相应一些性质。更多还原

【Abstract】 A matrix A∈R^{nx n}is called a real generalized positive definite matrix if x^TAx>0 for every nonzero （column）vector x∈Rⁿ. This paper discussed the several properties of matrix positive definiteness of Kronecker products, Hadamard products and the product matrix.更多还原