线性代数

Familiarity with multivariable calculus, linear algebra, and probability and statistics is required.

熟悉多变量微积分，线性代数，概率和统计是必需的。

Some special matrices and numerical characteristics related to iteration solutions of linear systems, convergence and comparison theorems of matrix splittings, preconditioning techniques for iteration solutions of saddle point problems are deeply studied in this thesis.

本文对与大型线性代数方程组迭代求解有关的特殊矩阵和数值特征进行了深入的研究，特别系统地研究了矩阵分裂迭代法的收敛性和比较理论及鞍点问题迭代求解预处理技术。

In the research to demand of International reserves,first, according to the affective character of demand to transition of International reserves, choosing the decision theory of Markov and dynamic transition equation as basic model, the paper has set up two transition methods--- stationary matrix and dynamic matrix, the later matrix has improved the sensitive reaction to time and velocity. Second, combining with knowledge of linear algebra, the paper has analyzed and testified the positive associated relation between transition matrix elements on main diagonal and the convergent speed of system, and explained why international reserves transition embodies the character under new situation and why the transition process can be accelerated by the strike of international idle money. Third,on the quantitative calculating to elements of transition matrix,referring to multiplication theory and decomposing-composing method of system, the paper has transformed main three-factor deciding confidence of international monetary into detail modulus by comparing analysis measure,now the matrix has been decided.

在国际储备的需求分析研究中，本文首先选择马尔可夫转移方程作为基础模型，根据需求对外汇储备结构的影响特点，提出非定常转移矩阵变换方法，拓展了马尔可夫变换对时间和速度的敏感性；结合线性代数知识，分析证明了定常转移矩阵的主对角线元素值的大小与系统的收敛速度的正向关联关系，并利用结论解释了国际货币新动向下外汇储备转换表现出的趋势特点以及国际游资冲击对国际货币结构变化的加速影响；在转移矩阵元素的量化计算上，本文参考乘数理论和系统分解合成原理，采用对比分析方法把影响国际货币信心的三大要素综合量化为转移偏好系数，然后根据转移偏好系数确定转移矩阵的元素值，其中还分别具体给出了定常转移矩阵和非定常转移矩阵的计算方法及在变换中的使用方法，从而不仅在定量分析上应证了定性分析结论，而且反映了随时间变化的美圆、欧元、日圆的比例结构均衡过程。

This article introduced the use of matrix operation of linear algebra in the cut-order planning through this method which simple and easy to understand .

这里我们提供一种方便易行的裁剪计划制定方法——矩阵法，这种方法不但可以让不了解线性代数的技术人员快速准确的实现裁剪分床，也可以通过计算机编程，实现裁剪计划制定的程序化。

Linear algebra matrix multiplication is the most common operation, it is in scientific research and engineering development have a decisive role in raising the efficiency of its operations for many large academic research of the contents of papers here is to analyze the main two a matrix multiplication algorithm.

详细说明：矩阵乘法是线性代数运算中最常见的运算，它在科学研究以及工程开发中都具有举足轻重的作用，提高其运算的效率是很多大型的学术研究中的内容，这边论文是分析主要的两个矩阵乘法算法。

The primary transform is used to solve a lot of important questions, such as finding matrix inversion and standard form.

以初等变换为首要方法，解决线性代数中一类重要问题。

In this paper,new quadratic PEk method and quadratic EPEk method are given for solving a system of linear algebraic equations whose matrix of coefficients is tridiagonal blocked matrix.

建立求解系数矩阵为分块三对角矩阵的线性代数方程组的新型二次PEk方法以及其外插迭代二次EPEk方法，对系数矩阵为对称正定矩阵情形，证明了新型二次PEk方法和二次EPEk方法的可解性和收敛性

Matrix decomposition meams the summation of dividing matrix into several pieces of matrix or product, it is the important in which solved method of some linear algebras problem, its research is significant.

摘要矩阵分解是将一矩阵分解为若干个矩阵的和或乘积的形式，它是解决某些线性代数问题的重要方法，它的研究具有重大的意义。

There are two main analysis techniques of Petri nets, one of which is invariant method. The invariant method is a linear algebraic analysis based on the matrix representation of Petri nets.

Petri网的分析方法有二种：可达树和不变量分析方法，其中，不变量分析方法是一种将矩阵描述应用于Petri网的线性代数分析方法。

Involves the membership function specifically, the operations research, and so on linear algebra, as well as mathematical model of analytic hierarchy process, matrix representation and so on.

具体涉及隶属函数，运筹学，线性代数等数学知识，以及层次分析法，矩阵计算等数学模型。

With Death guitarist Schuldiner adopting vocal duties, the band made a major impact on the scene.

随着死亡的吉他手Schuldiner接受主唱的职务，乐队在现实中树立了重要的影响。

But he could still end up breakfasting on Swiss-government issue muesli because all six are accused of nicking around 45 million pounds they should have paid to FIFA.

不过他最后仍有可能沦为瑞士政府&议事餐桌&上的一道早餐，因为这所有六个人都被指控把本应支付给国际足联的大约4500万英镑骗了个精光。