1) almost positive definite matrix
准正定矩阵
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.
For unifying the research into a variety of positive definite matrices and positive sub-definite matrices,the concept of almost positive definite matrix is given.
为了统一研究各类正定矩阵与次正定矩阵,提出了准正定矩阵的概念,研究了它及其Hadamard积与Kronecker积的基本性质,获得了许多新的结果,改进并推广了实对称阵的Schur定理、华罗庚定理及Minkowski、Ky Fan等著名不等式,扩大了Minkowski不等式的指数范围,并将各类正定矩阵与次正定矩阵统一起来。
2) almost positive subdefinite matrix
准次正定矩阵
1.
The properties and determinant theories of the almost positive subdefinite matrix and determi- nant are discussed.
研究准次正定矩阵的性质及行列式理论。
3) positive definite matrix
正定矩阵
1.
Research on the fast calculation model of positive definite matrix in-situ replacement;
正定矩阵原位替换快速解算模型研究
2.
A sufficient condition of determination a real symmetry matrix into a positive definite matrix;
判定实对称矩阵为正定矩阵的一个充分条件
3.
Oppenheim s inequality over real Symetric positive definite matrix;
实对称正定矩阵上的Oppenheim不等式
4) positive matrix
正定矩阵
1.
Beginning with the basic conceptualism,an optimizing mode is employed to decide weight in general condition and obtained a series of weight methods of covariance matrix which is positive matrix.
文章引入了加权平均量的自收敛性来描绘被评价分数的随机变量的稳定性,以概率论理论为基础,得到了一般情况下权重系数确定的优化模型和协方差矩阵为正定矩阵的一系列的确定权的方法,建立了一套较完整的确定权重系数的理论。
2.
The coefficient matrix of the equations is a kind of positive matrix.
这种方程组的系数矩阵是正定矩阵 ,可用平方根法求解。
3.
According to the definition of subde finite positive matrix, which given by C.
根据 Johnson给出的亚正定矩阵的定义 ,给出了一个关于亚正定矩阵的充分条件 。
5) positive definite matrices
正定矩阵
1.
In this paper,some new sufficient conditions for verifying the generalized positive definite matrices are given and the relative results reported in the literature are extended.
给出了广义正定矩阵的若干充分条件 ,拓广了广义正定矩阵的相关结果。
2.
The paper have proved (1) if A and B are positive definite matrices and AB=BA.
证明了关于正定矩阵迹的两个命题：（１）设Ａ、Ｂ为ｍ阶正定矩阵，且。
3.
B are both positive definitematrices,n a natural number,is it true for tr(AB)~n≤tr(A~nB~n) In this paper,we prove that if A B are both positive definite matrices of rank 2,then the above inequality is true.
B 均为正定矩阵,n 为自然数,是否有:tr(AB)~n≤tr(A~nB~n)本文证明了当 A。
6) positively definite matrix
正定矩阵
1.
As a result,a kind of positively definite matrix is achieved.
对一类极值问题进行了认真讨论和分析 ,给出了一类行列式的计算 ,并推广了阶乘的概念 ,且得到一类正定矩阵。
2.
By using the method of constructing positively definite matrix,some new results for robust stability of uncertain time_delay systems are derived,and the stability degree is also discussed.
利用构造正定矩阵的方法 ,给出了判别不确定时滞系统鲁棒稳定的几个新结果 ,同时讨论了这类系统的稳定度 。
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