1) 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
2) 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。
3) 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。
4) sub-Hermite sub-definite matrix
次Hermite次正定矩阵
5) 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。
6) metapositive semi_definite matrix
次半正定矩阵
1.
The recurrence discrimination method of the metapositive semi_definite matrix is given,and the subcontract standard form of the metapositive semi_definite matrix is discussed.
给出了次半正定矩阵的递归判别法，讨论了次半正定矩阵的次合同标准形。
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