gram matrix

An accurate method in Gram matrix of the criteria of observability in linear system

线性系统格拉姆矩阵可观性判别的精细化方法

A simple proof of positive semi-definite of Gram matrix is given , and several important conclusions of Gram determinant are discussed in this paper .

本文给出格拉姆矩阵的半正定性的简单证明，讨论格拉姆行列式的几个重要结论，并应用于一类不等式的证明。

In this paper , We prove some properties of Gram matrix .

本文证明了Gram矩阵的一些性质。

The Positive Semi-definite of Gram Matrix and it 's Application

格拉姆（Gram）矩阵的半正定性及其应用

Some Properties of Gram Matrix

关于Gram矩阵的一些性质

Gram Matrix and Hadamard Inequality

Gram方阵与Hadamard不等式

Because the directly designed controller always has high order , a balanced method based on Gram matrix is applied to reduce the controller order , which still keeps better control effect .

由于直接设计出的控制器阶数较高，采用了一种基于Gram矩阵的均衡降阶方法，降阶后的控制器仍保持了良好的控制效果。

A concept of a variable unit-vector is introduced . A new inequality is built by means of the positive definiteness of Gram matrix .

引入可变单位向量的概念，利用Gram矩阵的正定性创建了一个新的不等式。

A strengthened result of Holder 's inequality is attained by means of the positive definiteness of the Gram matrix and Bernoulli 's inequality .

利用Gram矩阵的正定性和Bernoulli不等式得到Holder不等式的一个加强的结果。

Especially , when the Gram matrix of kernel function is strict positive , then the samples must be linear distinguishable in the feature space which is induced by the kernel function .

特别地，当核函数的Gram矩阵正定时，观测样本集在由核函数导出的高维特征空间中必然线性可分。（2）基于分类间隔的特征选择。

In this paper , we introduce the concept of Gram matrix and study the relations of Gram matrix and positive matrix , obtain a important result : positive matrix must be Gram matrix ;

本文提出了格兰姆矩阵的概念，研究了格兰姆矩阵与正定矩阵的关系，得出了以下重要结论：正定矩阵必为格兰姆矩阵；

Third , if a frame with reproducing kernel form is known , a sequence is constructed via its Gram matrix , and the sufficient and necessary condition which become a frame is proved .

第三，若已知一个再生核函数形式的框架，可以通过其Gram矩阵构造一个点列，并证明这个点列成为框架的充分必要条件。

Half Positive Definitiveness of Gram 's Matrix in Inner-product Space

内积空间中Gram矩阵的半正定性