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1)  generalized metapositive definite complex matrix
广义次正定复矩阵
2)  extended sub-positive definite matrix
广义次正定矩阵
1.
The property of extended sub-positive definite matrix is studied further by means of the method of matrix analysis to obtain the lower estimated Oppenheim inequality of Hadamard multiplication determinant(belonging) to two extended sub-positive definite matrices under more general conditions and improve the past(results) in the adaptation range and estimated exactness.
用矩阵分析的方法,通过对广义次正定矩阵性质的进一步研究,得到了更一般条件下的两个广义次正定矩阵的Hadamard乘积的行列式下界估计的Oppenheim不等式,在适用范围和估计精度上都改进了已有的相应结果。
3)  sub-generalized positive definite matrix
次广义正定矩阵
1.
In this paper is presented the definition of the sub-generalized positive definite matrix, and the inverse problem of matrix equation AX=B on the sub-generalized positive definite matrix is studied.
给出了次广义正定矩阵的定义 ,研究了矩阵方程AX =B在次广义正定矩阵类上的反问题 。
4)  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。
5)  complex generalized positive definite matrix
复广义正定矩阵
1.
To In this paper,the definition of complex generalized positive definite matrix is given,its fundamental properties are studied,and its equivalent characteristics are established.
本文给出了复广义正定矩阵的概念,研究了其基本性质,建立了复广义正定矩阵的若干等价特征。
2.
The concepts of complex metapositive definite matrix and complex generalized positive definite matrix are presented,several inequalities of the norm of determinant are established,thus Ostrowski Taussky s inequality and Oppenheim s theorem are generalized.
给出复亚正定矩阵和复广义正定矩阵的概念,建立了它们的行列式模的几个不等式,推广了Ostrowski-Taussky不等式和Oppenheim定
3.
In this paper,Oppenheim s theorem of complex generalized positive definite matrix of (CP) D n type is established,thus some known results are generalized.
建立了(CP)Dn类复广义正定矩阵的Oppenheim定理,推广了已有结
6)  Generalized complex positive definite matrix
广义复正定矩阵
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。
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