矩阵论

二十世纪六十年代，美国矩阵论专家Marcus研究了秩1保持这一核心问题，1991年M。

After that , in the 1960s , American matrix theory expert Marcus had studied the core problem of preserving rank one .

Minkowski不等式是经典的不等式之一，它在几何、最优化控制、矩阵论、算子理论、函数等各方面都有重要的应用。

Minkowski inequality is one of the classical inequality , it has important applications in geometry , optimal control , matrix theory , operator theory , function and so on .

本文利用矩阵论的方法研究Hausdorff矩问题。著名矩阵论学者R。

Using the theory of matrices , this paper discusses the Hausdorff moment problems .

以矩阵论的相关理论为依据，论证在不同的坐标系下，应力张量满足相似变换的特性；并通过Ansys有限元分析软件与Matlab数值计算软件构建实验平台对此加以验证。

Based on the theory of matrix , this paper focuses on the similarity of stress tensor in different coordinate systems and then an instance performed by Ansys and Matlab is given to validate this conclusion .

矩阵论中矩阵的分解是很重要的内容。本文借助于矩阵的Jordan标准形给出一种方阵分解为二对称阵之积的初等证明方法。

In this Paper , is Given the elementary method of proof about the factorization of a square matrix into two symmetric matrices in Matric Thoery The basis is the Jordan 's normal form .

本文给出了一种不利用李群论，而仅凭微分流形和矩阵论的一些基本知识便能算出dim（O（n；R））的方法。

This paper gives a method by which we can calculate the dim ( O ( n ; R )) . The method is obtained only by using basic knowledge of differential manifold and matrix theory , but without using Lie group Theory .

为进一步研究一类混沌系统的完全同步问题，针对非扩散Lorenz系统，以矩阵论和Lyapunov稳定性理论为基础，提出了一种线性双向耦合的全局混沌同步方案。

The problem of complete synchronization for a kind of chaotic system is discussed . Considering the diffusionless Lorenz system , a linearly bidirectional coupled global chaos synchronization scheme is proposed based on the Lyapunov stabilization theory and matrix theory .

EIT技术的理论基础实质上是数学物理的反问题，如何求解EIT重建方程涉及到偏微分方程、有限元理论、数值计算、矩阵论、非线性方程组求解、病态问题、误差分析等领域。

As an Inverse Problem of Mathematical Physics , how to solve it involves Partial Differential Equations , Finite Element Method , Numerical Analysis , Matrix Theory , Nonlinear Equations , Error Analysis , Ill-posed Problem , etc.

立体矩阵论初步（Ⅱ）&单位体阵与体阵的逆

Foundations of Cuboidal Matrix Theory (ⅱ) & Identity Matrix and Inverse Matrix

矩阵论几个基本定理的新证明

The New Proof of Basic Theorems in Theory of Matrix

基于矩阵论的空间相似变换分析

Analysis of Spacial Similarity Transformation Base on Theory of Matrix

基于矩阵论的智能建筑集成系统多维空间描述

Multi-Dimensional Space Description of Intelligent Building Integration System Based on Matrix Theory

在这些模型讨论中主要运用矩阵论等经典的数学方法，并得到了许多好的结果。

We mainly apply matrix to the model , and get some good answer .

方法利用组合论和矩阵论方法。

Methods By combinatorial and matrix theoretical methods .

与经典插值问题相关的矩阵论

Matrix theory associated with classical interpolation problem

图论在矩阵论中的一个应用

The Application of Graph Theory to Matrix

本文提出示例学习的一种计算理论，扩张矩阵论。

A computational theory of learning from examples , extension matrix theory , is presented .

算子补问题不仅是一种深入学习，研究矩阵论和算子理论的途径，而且它有着广泛的应用背景。

Operator completion problems provide an excellent mechanism to understand matrix structure and operator theory more deeply .

线性代数，多重线性代数与矩阵论论著者的学术群落

On the Paper Author Academic Group of Chiness Linear and Multilinear Algebra and Matrix Theory Investigate and Analyse

本文利用矩阵论的方法讨论截断矩问题，无穷矩问题以及带不等号的矩问题。

The truncated moment , infinite moment and inequality moment problems are discussed by using the theory of matrices .

近几十年，线性保持问题已经成为矩阵论中最活跃的课题之一。

In past decade , linear preserver problem has been one of the most active subjects in matrix theory .

模式识别是研究分类识别理论和方法的科学，在理论上涉及到代数学、矩阵论、概率论、图论、模糊数学、最优化理论等等众多学科的知识，其内涵可概括为信息处理、分析、决策。

Pattern recognition theory comes down to algebra , matrix theory , probability theory , graph theory , fuzzing mathematics and optimization theory .

近几十年来，保持问题已成为国际矩阵论研究中一个十分活跃的领域。

During the past few decades , one of the very active research areas in matrix theory is the study of preserver problems .

近代数学的一些学科，如代数结构理论与泛函分析可以在矩阵论中寻找到它们的根源。

Some subjects of modern mathematics , such as the algebraic structure theory and functional analysis , would be found in the Matrix theory .

本文试图以马克思主义劳动价值理论为指导，以矩阵论为工具，描述了制订商品基础价格的全过程；

This Paper tries to describe the whole process for deter-mining the base prices of commodities with matrix theory , guided by Marxi t theory of labour value .

这些课题不能说是完全无遗漏的，但可以看到各领域的研究人员用随机矩阵论所做的工作。

The topics represented are by no means exhaustive but are meant to be indicative of the work done by researchers in diverse communities involving random matrix theory .

作为这门课程设计作业的一部分，我们鼓励学生探索随机矩阵论更深更细的应用领域。

As part of the project assignment for this course , students are encouraged to explore an area where random matrix theory has been applied in greater detail .

本文指出文的定义及性质均是矩阵论中已有定义及已知性质，并进一步探讨了矩阵的直积的一些新的性质。

In this paper , we point out the definition and nature in [ 1 ] has already been solved and give some nature for kronecker product of matrix .

本文主要的内容为概述组合矩阵论的发展，介绍一些基本知识，以及本原矩阵的三种类型的广义指数。

The main content of this article summarizes the development of combinatorial matrix theory , introduces some basic knowledge of it , and three kinds of generalized exponents of boolean matrix .

而且在线性保持问题的研究过程中，发现了大量的一般化的处理方法以及特殊技巧，这些方法技巧为矩阵论的研究做出了突出贡献。

And during the process of researching linear preservers , researchers have obtained lots of general methods and special skills , which make a great contribution to the research on matrix theory .