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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, 0(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, 0(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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