假定约束是可行、规范的，对于目标函数为正定或半正定的情形，得到了全局最优解的充要条件。
Under the cases that the objective function is positive definite or positive semidefinite, the necessary and sufficient conditions to characterize global optimal solution are obtained.
通过给出几个实例，介绍了利用二次型的半正定性证明不等式的方法。
The author introduce the method of applying positive semi-definite quadratic form to prove inequality by giving several examples.
本文以半正定矩阵为工具，统一了一类几何不等式，获得了一个相当一般的结果。
In this paper, we use semi-definite matrix to generalize geometric inequalities and obtain a general result.
给出了实部半正定矩阵的一种判定方法，并给出了该判定方法的算法。
A criterion for the real part positive semidefiniteness matrix is presented, and the algorithm for this criterion is given.
用这个方法修正的刚度矩阵不仅满足特征方程，而且是唯一的对称半正定矩阵。
The stiffness matrix corrected by the method not only satisfies the characteristic equation, but also is the unique symmetric positive semidefinite matrix.
本文给出的半正定二次型的若干判别方法及半正定对应系数矩阵的一些相关性质。
The paper gives a number of methods for differentiating half positive definite quadratic form and some relevant properties in respect to half positive definite corresponding coefficient matrix.
这些性质类似于通常的半正定矩阵及正定矩阵的性质。
These properties are similar to properties of positive semi-definite matrices and positive definite matrices.
对给定的特征值和对应的特征向量，提出了对称正交对称半正定矩阵逆特征值问题及最佳逼近问题。
From given eigenvalues and eigenvectors, the inverse eigenvalue problem of symmetric ortho-symmetric positive semi-definite matrices and its optimal approximate problem were considered.
当特征根难以求出而特征根的对称式易求时，半正定矩阵的算术平方根可直接由矩阵的本身的性质来表示。
On the other hand, square roots of semi-positive matrices can be expressed by the symmetric expression of eigenvalues, if the eigenvalues of semi-matrices are difficult to compute.
提出了一种新的采用半正定规划的盲干扰抑制算法。
A novel blind interference cancellation algorithm is proposed using positive semidefinite programming.
利用实对称矩阵的半正定之等价条件给出了复正半定矩阵的几个等价条件。
Some equivalent representations of complex positive semi definite matrices are given by using equivalent conditions of positive semi definite of real symmetric matrix.
用这个方法修正的刚度矩阵不仅满足特征方程，而且是唯一的对称半正定矩阵。
The stiffness matrix corrected by the method not only satisfies the characteristic equation, but also is the …
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。
Meanwhile the paper set up a new method to gain the standard form of a real symmetry matrix.
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。
Meanwhile the paper set up a new method to gain the standard form of a real symmetry matrix.
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