查询词典 matrix norm

Chapter 1 mainly introduce some elementary concepts about matrix: consistently ordered matrix, matrix norm, nonnegative matrix and famous Perron-Frobenius theorem.

介绍了矩阵的一些基本概念：相容次序矩阵、矩阵范数、非负矩阵及著名的Perron-Frobenius定理等。

By using matrix norm, matrix singular value, non-negative matrix theory, the regions of numaerical range and spectum of operator polynomial and the regularity of operator linear pencil are obtained.

8应用矩阵范数理论、矩阵的奇异值理论、非负矩阵的理论、友矩阵、算子的谱理论为工具，获得了算子多项式数值域具有的特性及其包含范围，算子多项式数值域与n-次数值域的关系，最后研究了算子线性束正则性的等价条件及谱分布情况。

By the definition and properties of matrix norm, a corollary expressed by matrix norm is obtained.

又利用矩阵范数的定义及性质，得出了一个以范数形式表示的推论。

In the case of discrete systems, some simple stability criteria are given in terms of matrix norm and the spectral radius of matrix, which are delay-independent and are therefore valid for any large delay.

对带滞后的线性定常离散广义系统，则通过矩阵的范数与谱半径建立了一些形式简单的稳定性判据，用它们判别系统的稳定性时，不会因滞后的增大而明显地增加计算量。

Analyzing the inner configuration of the covariance matrix, a new multiple targets DOA tracking algorithm is presented based on a matrix norm minimization technique.

摘要该文分析了协方差矩阵的内部结构，得到了一种具有较低运算量的基于范数最小准则的多目标DOA跟踪算法。

Applying Lyapunov function method and the property of the matrix measure and the matrix norm, some new sufficient conditions for asymptotic stable independent of delay of the linear systems with multiple time delay are presented.

综合利用Lyapunov 函数方法，结合矩阵测度和矩阵范数的性质，通过加强不等式，给出线性多时滞系统时滞无关渐近稳定的新的充分条件。

Inverse eigenvalue problem; Constrained matrix equation problem; Procrustes problem; Matrix norm; Optimal approximation solution

矩阵逆特征值问题；约束矩阵方程问题； Procrustes问题；矩阵范数；最佳逼近解

Keywords constrained matrix equation problem;sub matrix constraint problem; matrix norm; optimal approximation solution;least-squares solution

约束矩阵方程问题；子矩阵约束问题；矩阵范数；最佳逼近解；最小二乘解

Firstly, we select features by using CHI distribution. Secondly, we cluster the selected features by using an improved method which based on density. In virtue of the sort distribution information, we reduce the number of features twice and the information lost few. Lastly, based on the sort of texts, we use the distributing of probability to express text with matrix. By using matrix norm, we realized the text categorization.

首先通过分布对特征项进行选择，然后使用一种改进的基于密度聚类方法对选择后的特征项进行聚类，借助类别分布信息，在尽量减少信息缺失的前提下先后两次对文本特征维数进行了压缩；在基于类别概率分布的模式下实现文本的矩阵表示，借助矩阵理论进行文本分类。

By comparing the matrix theory over number field,we mainly discussed the quaternion matrix norm theory,the quaternionic determinant,the complex number expression of the quaternion matrix and the quarternion linear matrix equation.

通过对比一般域上矩阵理论，本文主要从四元数矩阵范数理论、四元数矩阵行列式、四元数矩阵的复表示以及四元数线性方程组和线性矩阵方程四个方面阐述了四元数矩阵理论。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。