矩阵分解是矩阵计算的重要工具。
Matrix decomposition is an important tool for matrix computation.
本文系统的研究了四元数矩阵分解理论。
In this paper, decomposition of a quaternion matrix is systemically studied.
矩阵分解在很多领域获得了广泛的应用。
Matrix decomposition has been widely applied in many fields.
听起来像是一个经典的矩阵分解我的任务。
递推方程是由基于矩阵分解公式的交叉等式导出的。
The recursive equation is derived from a cross - identity basal on a formula of matrix analysis .
矩阵分解的校正技术是数值线性代数中最有效的工具之一。
The matrix factorization and its modification is one of the most effective techniques in numerical linear algebra.
提出一种带有正则约束的非负矩阵分解算法(RCNMF)。
An algorithm with regularization constrains for nonnegative matrix factorization (RCNMF) is proposed.
的输出反馈控制器的增益矩阵的矩阵分解的方法，通过构造的。
The gain matrices of the output feedback controller are also constructed by means of the method of matrix decomposition.
本文给出用特征矩阵分解与初等行变换求A的一系列幂的简捷方法。
This paper shows some simple methods to calculate the powers of A using the characteristic matrix decomposition and the elementary row operation.
矩阵的三角分解(LU分解)是矩阵分解中最简单、最基础的一种。
Matrix's triangular decomposition (LU decomposition) is the simplest and most basic kind of decomposition in matrix decomposition.
利用矩阵分解和系统变换的技巧，得到广义随机系统的集值滤波方程。
By using the techniques of the matrix decomposition and the system transformation, the set-valued filtering for stochastic singular linear systems is also designed.
本文用矩阵分解法给出该反问题在正定矩阵类及正交矩阵类中的通解。
General solutions of above inverse problem in positive definite matrix and in orthogonal matrix are given here by using factorization method of matrix.
非负矩阵分解具有非负性和局部性的特点，是一种新型的特征提取方法。
Non-negative matrix factorization has non-negative and local characteristics, and it is a new feature extraction method.
非负矩阵分解算法简单，易于实现，并且具有降维、收敛和稀疏等特性。
Moreover, NMF algorithm is simple and easy to implement and it has features such as dimension-lowering and sparse convergence.
本文主要是论述稀疏非负矩阵分解算法在矿产资源定量预测中的应用研究。
In this article, the sparse non-negative matrix factorization algorithm is applied to quantitative predict the mineral resources.
为此首先基于矩阵分解构造出新的参数化方程，选取必然等价自适应控制律。
First, a new type of parameterization equation is constructed based on matrix factorization and the certainty-equivalence adaptive control law is chosen.
本文对用于DOA估计的矩阵分解法进行了分析，证明了它是一种子空间方法。
The matrix decomposition method for DOA estimation is analyzed. It is proved that the method is a subspace method.
基于矩阵分解方法对过程变量进行分类，提出了一种广泛适用的数据协调算法。
A universal method of data reconciliation based on classifying all process variables by matrix decomposition is proposed.
非负矩阵分解过程中，适当地选取特征空间的维数能够获得原始数据的局部特征。
The local feature based representation could be obtained by choosing suitable dimension of the feature subspace in NMF.
本文借助于非负矩阵分解算法，提出了一种基于非负因子分析的模糊文本聚类方法。
Inspired by the nonnegative matrix factorization algorithm, we put forward an fuzzy text clustering method based on nonnegative factor analysis.
摘要：非负矩阵分解方法是基于局部特征的特征提取方法，已经成功用于人脸识别。
Absrtact: Non - negative matrix factorization (NMF) is a method of parts - based feature extraction, it has been already applied to face recognition successfully.
奇异值分解是将一矩阵分解为一个对角矩阵和两个正交矩阵，奇异值分解有着非常好的性质。
By decomposing a matrix into one diagonalizable matrix and two orthogonal matrixes, singular value decomposition has very good properties.
为提高一般6r机器人逆运动学算法的精度和效率，提出一种基于符号运算和矩阵分解的优化算法。
In order to improve the accuracy and efficiency of the inverse kinematics algorithm for general 6r robots, an optimized algorithm was proposed based on symbolic processing and matrix decomposition.
实验结果表明提出的两种特征提取方法在识别率方面整体上好于原非负矩阵分解特征提取（NMF）方法。
The experimental results on Olivetti Research Laboratory (ORL) face database and YALE face database show that the new methods are better than original NMF in terms of recognition rate.
非负矩阵分解（NMF）要求分解得到的左矩阵为列满秩，这限制了它在欠定盲分离（UBSS）中的应用。
The decomposed left matrix of Non-negative Matrix Factorization (NMF) is required to be full column rank, which limits of its application to Underdetermined Blind Source Separation (UBSS).
这种方法以矩阵分解为工具，结合平衡点的渐近稳定判据，用分解矩阵的稳定性决定平衡点的全局渐近稳定性。
This method takes the matrix resolving as a tool, combined with criterion of progressive stability and determines the equilibrium point by stability of matrix resolving.
在机动加速度“当前”统计自适应卡尔曼滤波算法的基础上，引入了基于Q - R矩阵分解的自适应卡尔曼滤波算法。
Based on the algorithm of maneuvering acceleration current statistical model adaptive filtering, the adaptive kalman filtering algorithm based on QR matrix decomposition is presented in this paper.
矩阵分解是将一个矩阵分解为比较简单的或具有某种特性的若干矩阵的和或乘积，这是矩阵理论及其应用中常见的方法。
Matrix decomposition is making a complex matrix been equal to sums or products of many matrixes, and these matrixes are simpler or possessing some peculiarities.
采用矩阵分解的方法，从柯林斯衍射积分公式出发，对高斯光束通过失调空间滤波器的传输特性进行了分析，得到了相应的解析式。
Based on the method of matrix decomposition, and the Collins diffraction integral formulae, the propagation characteristics of a Gaussian beams passing through misaligned spatial filter are studied.
采用矩阵分解的方法，从柯林斯衍射积分公式出发，对高斯光束通过失调空间滤波器的传输特性进行了分析，得到了相应的解析式。
Based on the method of matrix decomposition, and the Collins diffraction integral formulae, the propagation characteristics of a Gaussian beams passing through misaligned spatial filter are studied.
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