线性代数

基于Excel的线性代数数学实验研究

Mathematics Experiment of Linear Algebra Study Based on Excel Application

解线性代数方程组的传统方法是利用LU分解等直接求解，虽然传统方法具有理论上直接得到真解的优点，但当系数矩阵条件数很大时，存在严重的稳定性问题。

The traditional methods are to solve the linear algebra equations directly , based on matrix factorization such as LU decomposition .

解线性代数方程组的PE方法

The convergence of pseudo-elimination method for solving system of linear algebraic equations

解线性代数方程组的二次PE方法和二次PEk方法

Quadratic PE and PE_k Methods of Solving a System of Linear Algebraic Equations

用线性代数法变Qf矩阵为A矩阵

The Transformation of Qf Matrix into a Matrix by Using Linear Algebraic Method

求解一类块线性代数方程组的LU分解算法

The LU Decomposition Solution for a Class of Block-Linear Algebraic Equations

导出了平面机构综合中经常出现的拟线性代数方程的数学机械化解，利用MATLAB系统强大的符号运算功能，给出了该数学机械化解的实现程序。

A mathematics mechanization on the quasi-linear equations from mechanisms synthesis was created . And the program of MATLAB on the related algorithm was presented .

离散后的三对角线性代数方程组用ADI方法求解。

The discretized tri-dia-gonal linear algebraic equations are solved with ADI method .

结合理想反应器体系的验证表明，数值线性代数去卷积方法处理P曲线和T曲线得到局部RTD是有效的。

The numerical linear algebra deconvolution method was a useful method to obtain the local RTD , verified by ideal reactor systems .

Hadamard矩阵是线性代数中非常重要的概念。

The hadamard matrix is one of the important concepts in the linear algebra .

称由基尔霍夫（Kirchhoff）定律建立的线性代数方程组为基尔霍夫方程组。

The Kirchhoff equations is the linear algebraic equations set up by the Kirchhoff theory .

EDA中的数学基础都是基于线性代数发展而来的，矩阵运算又是线性代数中非常重要的基本算法。

The Mathematic basis of EDA system is linear algebra . And matrix calculation is the basic algorithm in linear algebra .

超立方体连接的分布式存贮MIMD上稠密线性代数方程组求解

Solving Dense Linear Systems on Hypercube Connected MIMD Distributed-Memory System

这个API非常有意义，因为它使我们不必考虑线性代数或图形学课本中讨论的复杂的转换矩阵。

This API is excellent because it frees you from having to think about the kinds of complex transformation matrices commonly discussed in linear algebra or graphics courses and textbooks .

大型稀疏线性代数迭代库在YH机上的高效实现

The Efficient Implementation of a Library for Large Sparse Linear Algebraic Iterations

可见，Maple在处理线性代数可视化教学方面要优于其他数学软件。

It is obvious that Maple is superior to other teaching software in dealing with the visual teaching of the Linear Algebra .

解一类病态线性代数方程组的逐次调整消元（SAE）法

The Successive Adjustment Elimination ( SAE ) Method of Solving some Systems of Linear Equation with Ill-condition

Weierstrass定理在线性代数中的一个应用

An Application of Weierstrass Theorem in Linear Algebra

奇异值分解（SVD）是线性代数中一种重要的矩阵分解技术，一种对数据进行降维处理的方法。

Singular value decomposition ( SVD ) is a very important matrix decomposition technique , and a dimension reduction method in linear algebra .

将网架的联立线性代数方程组看作是泊松（Poisson，S.D.）方程的差分方程。

The linear algebraic equations are solved usually by treating them as difference equations of Poisson 's equation .

将级数解代入边界条件，通过傅立叶级数法可建立有关待定系数E的线性代数方程组。

The series in real form are substituted to the boundary conditions and a set of linear algebraic equations with undeter - mined displacement coefficient ( E ) is obtained by the method of Fouries series .

采用线性代数L2向量空间Householder变换-Norm（范数）构造函数，实现了遥感影像的边缘增强。

The Householder transformation-norm structure function in L_2 vector space of linear algebra is introduced , and the edge enhancement for remote sensing images is realized .

本文将线性代数中的Householder变换加以推广，并用来简化线性组合系统的结构。

In this paper the concept of Householder transformation is extended . This extension is available to simplify the linear composed systems .

给出一个串行模拟在分布式存储MIMD一级3叉树机上求解任意三对角线性代数方程组的分布式迭代算法的C语言程序。

This paper gives a C program used in the analogue-distributed parallel algorithm which is based on the 1-th and 3-nary machine model with MIMD computer of distributed memory to solve a Tri-diagonal system .

基于线性代数与矩阵理论，给出利用LDLT分解计算实对称矩阵特征值的递归算法。

A recursive algorithm for calculating the eigenvalues of a real symmetric matrix based on LDLT decomposition is given .

科技应用：科技人类学本土化的新走向Matlab是一个功能强大的科技应用软件，已列入理工科大学线性代数、时间序列分析、动态系统仿真等专业的教学工具。

Matlab , a scientific and technological application software with its powerful functions , has been used as a teaching tool in linear algebra , the time series analysis , the dynamic system simulation and other special subjects in universities of science and technology .

大量的试验与计算机仿真表明，该经验公式在短信号的分析中优于传统的信息量准则以及基于线性代数方法的奇异值分解（SVD）定阶算法。

A great lot of analysis and experimental results indicate that the experiential formula can give more exact order than traditional methods , such as A1C , B1C , CAT and SVD .

提供两个高效而实用的FORTRAN程序（例行子程序形式），用于对称三对角矩阵的两个计算问题（其一是线性代数方程组的求解，其二是广义特征值问题的计算）。

This paper provides two FORTRAN subroutines for the two computational problems of the symmetric tridiagonal matrix ( solution of the system of liner algebraic equations , and computation of the generalized eigenvalues and eigenvectors ) .

使用二阶或四阶有限差分法，把HFS方程离散化，构成一组拟线性代数本征值问题。

The discretized form of the HFS equation , using second-order or 4th-order finite differences , results in a set of quasi-linear algebraic eigenvalue problems . The coefficient-matrices are dependent on the solutions .

本文采用Fourier变换方法，导出了无限平面不连续位移的弹性解，并利用应力（或位移）边界条件建立了一组求解裂隙表面间断位移的线性代数方程。

By the Fourier transformation method , the elastic solutions of displacement discontinuity in infinite plane have been derived in this paper and one set of linear algebraic equations for solving the value of discontinuous displacement on the crack surface has been established according to stress or displacement boundary conditions .