1) positive semidefinite matrix
半正定矩阵
1.
We first discuss the connections between Euclidian distance matrix and positive semidefinite matrix under the condition that Ax 0=λx 0, λ≥0, x 0=en, A n×n is a positive semidefinite matrix.
本文从半正定矩阵Ａｎ×ｎ满足Ａｘ０＝λｘ０，λ≥０，ｘ０＝ｅ／ｎ这个条件出发，讨论了欧几里得距离矩阵与半正定矩阵的关系，给出了判别一个欧几里得距离矩阵的充要条
2.
This paper is concerned with the problem of real symmetric positive semidefinite matrix pencil under spectral restriction.
本文讨论谱约束下实对称半正定矩阵束的最佳逼近问题，指出一般算法。
3.
There exist great differences between positive semidefinite matrix and positive definite matrixin the inequality research.
半正定矩阵与正定矩阵在不等式的研究上有相当大的区别,将正定矩阵推广至半正定矩阵,需要用Moore Penrose逆来代替一般的逆。
2) positive semi-definite matrix
半正定矩阵
1.
It shows the proof of four points on a circle by the knowledge of determinant;the methods of resolving applied problems by theories about the solution of homogeneous linear equations;and the proof of inequality by positive definite and positive semi-definite matrix.
讨论利用行列式知识证明四点共圆、利用齐次线性方程组解的理论解有关应用题、利用正定与半正定矩阵知识证明不等式等高等代数方法在中学数学中的应用。
2.
In this paper, two inequalities of the positive semi-definite matrix trace are given.
利用矩阵代数的理论与方法,研究了半正定矩阵的不等式问题,给出半正定矩阵迹的两个不等式。
5) positive semi-definite matrices
半正定矩阵
1.
Applying these results, the inequality of Khatri-Rao product about positive semi-definite matrices is generalized to real symmetric matrices, and its inverse inequality and equational condition are also given.
应用这些结果,把一个半正定矩阵Khatri-Rao乘积的不等式推广到实对称矩阵,并给出了它的逆向不等式及其等式条件。
2.
Furthermore,theorem 2 gives and proves a suficient and necessary conditionan for the case of positive semi-definite matrices B by the method of matrices decomposition and block matrice.
给定半正定矩阵B,考虑矩阵可交换问题A惨BA=ABA惨的可解性。
6) 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。
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