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实方阵正定的一个充分准则
引用本文:郑秉文.实方阵正定的一个充分准则[J].东北师大学报(自然科学版),1996(4):25-27.
作者姓名:郑秉文
作者单位:吉林电气化高等专科学校
摘    要:给出了判定实方阵天定的充分准则,并利用该准则证明了判定矩阵Hadamard积正定性的两个定理。

关 键 词:正定矩阵  矩阵  特征值  充分准则  实方矩了

A Sufficient Rule of Positive Definiteness About Real Square Matrix
Zheng Bingwen.A Sufficient Rule of Positive Definiteness About Real Square Matrix[J].Journal of Northeast Normal University (Natural Science Edition),1996(4):25-27.
Authors:Zheng Bingwen
Abstract:The characteristics of positive definiteness of atrix has been an interesting problem to us. Recently,judging the necessary and sufficient condition of the characteristics of positive definiteness to a matrix has been published on some publications one by another. This paper gives out a sufficient rule about how to judge the positive definiteness of a real square matrix. Applying this sufficient rule we can also prove two principles about judging the characteristics of positive definiteness of Hadamard product.
Keywords:positive definite matrix  real symmetrical matrix  eigenvalue of a matrix  Hadamard product
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