线性代数

In particular the semi-linear transformation of a single, the study of the Lie algebra structure, and the existence of classification play an important role.

特别是半单的线性变换，对研究李代数的结构、存在与分类，起到重要作用。

Based on analyzing the weighted coefficient matrix of the reconstruction linear model, the convergence speed of ART is enhanced by optimizing the selection order of projections during iteration. The whole performance of the system has been improved. The 12-electrode capacitance tomgraphy system is mounted in the oil/gas/water loop and it is used to monitor oil/gas two-phase flow upwards through vertical pipelines.

为了减少代数重建算法的时间开销，本文从图像重建线性模型的权系数矩阵出发，通过优化各投影在迭代过程中的选取顺序来改善ART算法的收敛特性，使成像系统仅需增加较小的时间开销就可提高系统的成像质量，从而提高了成像系统的整体性能。

The problem of solving the linear matrix equation is one of the importantstudy fields of the numerical linear algebra.

线性矩阵方程的求解问题是数值代数的重要研究领域之一。

The existence of potential 〓、Ω is proved in linear functional space theories.

用线性函数空间理论证明了位函数〓、Ω的存在性；指出了现有文献在退化矢量位〓的唯一性证明中所存在的问题，并重新给予了证明；证明了位函数〓、Ω在导体与导体、导体与非导体界面上自然满足分界面条件；针对汽轮发机端部的轴对称涡流场，讨论了位函数〓、Ω的泛函及有限元代数方程组的形成。

Field; characteristic ; group inverse of matrix; linear map; symmetric matrix

基础科学，数学，代数、数论、组合理论域；特征；群逆；线性映射；对称矩阵

T studied linear transformations using matrix algebra, he/she/it can get the gist of what?

吨利用矩阵代数研究线性变换，他/她/它可以得到什么？

Some important applications of structure matrix in the tensor product multilinear mapping are given. Compared with the method of matrix algebra knowledge, the proposed method enjoys obvious advantages.

给出了结构矩阵在解决张量积多重线性映射问题时的一些重要应用，经过与用矩阵代数知识解决此问题相比较对照，更显示出用结构矩阵解决问题的优越性。

Rose found a new way called algebraic perturbation method for solving nonsingular linear equations.

Rose在1974年首先提出了用代数扰动的方法求解非奇异线性方程组，随后，L.B。

The basic idea of the method is as follows: an algebraic theorem is used to avoid computing the composition and multiplication of B-spline basis function by Blossom and Polar form, and to reduce the computation by solving linear equations.

基本思想是：运用代数基本定理避免通常B样条基函数复合所采用的极形式以及非常烦琐复杂的开花运算，把B样条基函数的复合、乘积运算转化为求解线性方程组。

This paper adopts new algebra structure of quaternion matrix,to study how to apply a variety of iterative algorithm to quaternion linear systems.

本文通过引入四元数矩阵的新代数结构表示运算，研究如何将多种迭代算法应用于四元数线性系统上。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。