查询词典 diagonalizable matrix

Construct the three-dimensional manifold element covering hexahedron, provide cover displacement function, strain matrix, stiffness matrix and stress matrix of the three-dimensional manifold element by the previous research work.

6在前人研究的基础上，构造了六面体有限覆盖的三维流形单元，推导了三维流形单元覆盖位移函数、应变矩阵、刚度矩阵、荷载矩阵等表达式。

This paper overviews the various algorithms for least square collocation, discusses the matrix QR decomposition, derives the relationship between QR decomposition and generalized inverse matrix, and obtains least square inverse used for calculating matrix. In addition, the estimation formula for least square collocation by QR decomposition and its accuracy formula are derived. A case study is conducted using gravity anomaly test and calculation to demonstrate that the QR method is correct and valid in least-square collocation calculation.

分析了目前采用的最小二乘配置法解算方法，在讨论了矩阵的QR分解方法的基础上，推导得出了矩阵QR分解与广义逆矩阵的关系，得出了可以直接利用QR分解求解矩阵的最小二乘逆，并推导了应用QR分解求解最小二乘配置的估值计算公式和精度估算公式，最后通过重力异常实例进行了计算，得出矩阵的QR分解用于最小二乘配置解算的正确性和可行性。

The decomposition theorem becomes a bridge connecting fuzzy matrix theory with Boolean matrix theory, so we start this problem from Boolean matrix.

由于分解定理建立了模糊矩阵和布尔矩阵之间的桥梁，所以我们首先从布尔矩阵开始对这个问题展开研究。

Studying the positive definitiveness of the covariance matrix from discrete data is important to design the sampling plan and provides the base for the data analysis.However, there have been few outcomes about the positive definitiveness of covariance matrix, most of which have been restricted to the Covariance-matrix of continuous sample.

研究离散型样本协方差矩阵的正定性有助于判断是否可以降低样本的维数，有利于优化抽样个数，为抽样调查的优化设计方案提供一定的理论基础；为基于特征根的多元统计分析提供理论指导。

Research Triangle Toeplitz matrix nature Diagonal extended to a non-zero constant for the formation of the matrix above 1.30 Toeplitz matrix.

研究三角Toeplitz矩阵性质，推广到对角线上为非零的一个常数的形如上三角Toeplitz矩阵的矩阵的情况。

Matrix is an important mathematical concept,which is among the major research fields of Algebra study . Diagonalization of the matrix is the key content of Matrix Theory.

矩阵是数学中的一个重要的基本概念，是代数学的一个主要研究对象，而矩阵的对角化是矩阵论中的一个重点内容。

We then diagonalize the matrix C and obtain the eigenvalue spectrum and eigenvectors. The large eigenvalues which go beyond the upper bound of the random matrix, i.e., the Wishart matrix, reflect the local correlations between stocks. The largest eigenvalue corresponds to the market mode, and next large eigenvalues represent the interactions between stocks in a same sector.

进一步，通过对角化，我们得到矩阵C的特征值谱和特征向量，超过随机的Wishart矩阵特征值谱上边界的特征值反映了股票间的局域关联，其中最大的特征值对应于市场模式，其余的次大特征值代表了同一板块内股票间的相互作用。

The first part is basic concept and axioms: Gives the definition and the basic theorem of diagonally dominant matrix, M-matrix, H-matrix which involve in this paper.

第一部分为基本概念和定理：给出本文所涉及的对角占优矩、M-矩阵、H-矩阵的基本概念和定理。

Generalized diagonally dominant matrix、 M-matrix andH-matrix play an important role in numerical algebra、economy、cybernetics theory and so on.

对角占优矩阵、M-矩阵、H-矩阵是应用范围很广的特殊矩阵类，它们在数值代数、数量经济学、控制理论等领域都有重要作用。

In chapter one, firstly, we introduce the properties of αdiagonally dominant matrix and some exists determination conditions of generalized strictly diagonally dominant matrix, then we give some new results for the criteria of generalized strictly diagonally dominant matrix, finally, we show the validity of these conclusions.

在第一章中，首先引述了α-对角占优矩阵的性质及已有的一些判定条件，给出了判定广义严格对角占优矩阵的几个新的结论，最后说明了这些结论的有效性。

He's a pretty westernised kind of guy.

他是一个非常西化的人。

National spirit is the moral kingpin for a nation to realize common ideal and goal.

一、中华民族精神的基本内涵党的十六大报告指出：在五千多年的发展中，中华民族形成了以爱国主义为核心的团结统一、爱好和平、勤劳勇敢、自强不息的伟大民族精神。