1) generalized real positive matrix
广义实正定矩阵
2) general positive definite real matrix
广义正定实矩阵
1.
In this paper,we give a general spectral resolution of real matrix and some properties eigenvalue of a general positive definite real matrix.
:给出实矩阵的广义谱分解式 ,讨论广义正定实矩阵的特征根的一些性质 。
3) generalized positive definite matrix
广义正定矩阵
1.
Generalization for definition of asymmetrical generalized positive definite matrix;
非对称广义正定矩阵定义的再推广
2.
Based on the definitions of generalized positive definite matrix, a further study of it is made in the present paper, and several new results are obtained as a consequence.
本文利用广义正定矩阵的概念 ,对其作进一步的研究 ,并由此得出广义正定矩阵的几个新结果。
3.
The definition of generalized positire definite matrax is given,namely:real square matrix of order n A is called generalized positive definite matrix,if X≠0∈R n×1 , X′AX>0.
给出了广义正定矩阵的定义：设Ａ∈Ｍｎ（ Ｒ） ，Ａ′≠Ａ，若对任意Ｘ≠０ ∈Ｒｎ×１ ，都有Ｘ′ＡＸ＞ ０，则称方阵Ａ是广义正定的；并研究了广义正定矩阵的一些判别方法。
4) generalized positive semidefinite matrix
广义半正定矩阵
1.
In this paper we generalize and improve Oppenhein s inequality for generalized positive semidefinite matrix.
在广义半正定矩阵上推广、改进了Oppenheim不等式。
5) generalized positive definite matrices
广义正定矩阵
1.
Study on further generalized positive definite matrices;
更广义正定矩阵的推广研究
2.
Some properties of Kronecker product and Hadamard product of generalized positive definite matrices over the quaternion division ring;
四元数体上广义正定矩阵的Kronecker积和Hadamard积的一些性质
3.
Properties of generalized positive definite matrices
关于广义正定矩阵的几个性质
6) generalized positive definite complex matrix
广义正定复矩阵
1.
When the concept of the generalized positive definite complex matrix is introduced,we should also discuss corresponding properties and structures which are undoubtedly meaningful to enrich the content of the matrix theory.
当引入广义正定复矩阵这个概念之后,也应该讨论它相应的性质与结构,这对丰富矩阵论的内容无疑是有意义的。
补充资料：正定矩阵
设m是n阶实系数对称矩阵， 如果对任何非零向量
x=(x_1,...x_n) 都有 xmx^t>0，就称m正定。
正定矩阵在相似变换下可化为标准型， 即单位矩阵。
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条