1) metapositive definite complex matrix
次正定复矩阵
1.
This paper includes theorems such as the one that the real parts of the sub-characteristic values belonged to an n-square metapositive definite complex matrix are positive,and that if JA is a normal composite matrix,then A is a metapositive definite complex matrix if and only if the real part of the sub-characteristic value belonged to A is real.
研究了复矩阵的次正定性的性质和一系列充分必要条件,得到了“n阶次正定复矩阵的次特征值实部为正”与“当JA为复正规矩阵时,A是次正定复矩阵的充分必要条件是A的次特征值实部为正”等结论;讨论并给出了矩阵乘积是次正定复矩阵的充分和充要条件;得到了与著名的Ostrowski-Taussky不等式、Hadamard不等式、Oppenhein不等式等相应的重要结果。
2) complex metapositive sub-definite matrix
复次亚正定矩阵
1.
The sub-definite of matrix generalize Fischer s results on a positive definite matrix to the complex metapositive sub-definite matrix,to get a new conlusion.
笔者讨论了复次亚正定矩阵的一些性质及行列式不等式,解决A,A n2的上界、下界问题,进一步研究了分块矩阵的次正定性,将Fischer关于正定矩阵的结果推广到复次亚正定矩阵上,从而得到新的结论;利用A A次正定性,推导出Khatri-Rao乘积的次正定性。
3) metapositive definite matrix
次正定矩阵
1.
This paper points out a mistake in paper,and then presents a determinant inequality of metapositive definite matrix which corrects the mistake in paper,and extends the results of paper,finally,gives out several determinant inequalities of metapositive definite matrix and extends some results of determinant inequalities of positive definite matrix to metapositive definite matrix.
首先指出了文 [1]中定理 7的错误 ,给出一个行列式不等式 ,改正了文 [1]的错误且推广了文 [3]的结果 ,进而 ,又给出了次正定矩阵行列式的其它一些不等式 ,将正定矩阵的某些结论推广到次正定矩阵
4) metapositive definite matrices
次正定矩阵
1.
Some in-equalities for the determinants of metapositive definite matrices were discussed.
继续研究次正定矩阵的理论，给出了次正定矩阵行列式的几个不等式。
2.
The necessary and suf- ficient conditions of metapositive definite matrices are discussed and an inequality for the determinants of metapositive definiter matrices is given.
我们讨论了次正定矩阵的判别法,给出了次正定矩阵的行列式的一个不等式。
5) positive sub-definite matrix
次正定矩阵
1.
The text for making every variety positive definite matrix and positive sub-definite matrix to unification, the concept of almost positive definite matrix is given, and its properties and determinant theories are discussed, and many new results are obtained.
本文研究了各类正定矩阵与次正定矩阵的基本性质及行列式理论,提出了准正定矩阵的概念,获得了许多新的结果,推广了Hadamard、Openheim、Ostrowski-Taussky与Minkowski等著名不等式以及屠伯埙、杨新民等的有关结果,扩大了Minkowski不等式的指数范围。
2.
In this paper,we first give out a partial order of generalized scour complement and an inequality of determinant about positive sub-definite matrix.
给出了次正定矩阵广义Schur补的一个偏序和一个行列式不等式,并将正定厄米特矩阵的一个不等式推广到次正定矩阵广义Schur补上。
6) generalized metapositive definite complex matrix
广义次正定复矩阵
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。
参考词条