【摘要】 采用待定法证明了二阶及上 (下 )三角矩阵A∈PD 的充要条件 ,把广义正定性问题转化为实对称矩阵A∈PD 的正定性问题 ,与文 [1]比较降低了证明难度 ,大大简化了证明过程。更多还原

【Abstract】 In this paper, using the undetermined-way, we prove that necessary and sufficient conditions for generalized positive definiteness of matrix are obtained under second order matrix and upper (or lower) triangular matrix, we change generalized positive definiteness into positive definiteness of real symmetric matrix.更多还原