Reduced and regular properties of formal triangular matrix rings;
同时，关于形式三角矩阵环也有类似的同构式。
This article gives a Formula for finding inverse matrices of upper (down) triangular matrix.
本文给出了上(下)三角形矩阵的一个求逆公式。
We study in this paper the structure of additive mappings on triangular matrix algebras which preserve commutativity.
本文研究了三角矩阵代数上保持交换性的可加映射的结构。
A substance is through the primary transformation into an upper triangular matrix, the transformation matrix is a unit lower triangular matrix.
实质上是将A通过初等行变换变成一个上三角矩阵，其变换矩阵就是一个单位下三角矩阵。
The authors characterize the forms of additive invertable operators preserving inverse matrix of the upper triangular matrix space over a field which characteristic is not 2 or 3 .
刻划了特征不为2及3的域上的上三角矩阵空间保逆矩阵的可逆加法算子的形式。
Aim To study new ranking methods of ranking problem on complementary judgment matrix with triangular fuzzy Numbers.
目的研究解决元素为三角模糊数的互补判断矩阵排序问题的新方法。
LU decomposition is a triangular decomposition approach of non-singular matrix, and the digital image can be seen as a matrix.
LU分解是一种将非奇异矩阵进行三角分解的方法，而数字图像也可以看作矩阵。
The influence coefficient matrix of the linear axisymmetric triangular element and the input vector expression are derived.
推导了轴对称线性三角形元的影响系数矩阵和输入向量公式；
In this paper, triangular method and matrix method have been suggested inorder to determine singular position of mechanisms.
该文提出确定机构奇异位置的两种方法：三角化法和矩阵法。
Some concepts such as triangular fuzzy number consistent complementary judgement matrix, etc., are given and a linear objective programming model is established.
提出了三角模糊数一致性互补判断矩阵等概念，建立了一个线性目标规划模型。
This paper studies the multi-attribute decision making problem, in which the decision information takes the form of triangular fuzzy number complementary judgement matrix.
研究了决策信息以三角模糊数互补判断矩阵形式给出的多属性决策问题。
Full rank decomposition of matrix and triangular decomposition of strongly full rank can well be realized by elementary transformation method of matrix.
通过矩阵的初等变换可实现矩阵的满秩分解和强满秩矩阵的三角分解。
This paper studies the decision making problem with finite alternatives, in which the decision information takes the form of triangular fuzzy number complementary judgement matrix.
研究了决策信息以三角模糊数互补判断矩阵形式给出的有限方案决策问题。
The calculated rigidity matrix is convergent everywhere, including these triangular toroidal element closed to the symmetrical axis.
如果用这种新的形状函数，则由此计算求得的刚度矩阵，不论三角圆环有限元的位置是否靠近轴线。
This paper constructs irregular LDPC codes of unequal error protection with a parity check matrix in a lower triangular.
采用了近似下三角校验阵的形式，构造了一类具有不等错误保护的非规则ldpc码。
According to the concept of the triangular fuzzy number, this paper constructs a fuzzy judgement matrix.
根据模糊三角数的概念构造判断矩阵，据模糊三角数比较大小的原理进行层次单排序；
In this paper, we present an algorithm to accurately compute the exponential of a triangular essentially nonnegative matrix.
本文给出了一个计算本质非负三角阵的指数函数的高精度算法。
Matrix's triangular decomposition (LU decomposition) is the simplest and most basic kind of decomposition in matrix decomposition.
矩阵的三角分解(LU分解)是矩阵分解中最简单、最基础的一种。
Elements by the highly-accuracy six-node triangular element are divided. Stiffness matrix and mass matrix of sandwich panel are established and then deduced dynamical equations of finite elements.
应用高精度的六节点三角形单元进行单元划分，建立复合夹层板的刚度矩阵、质量矩阵并推导有限元动力学方程。
The name of it comes from the lower-triangular form of system matrix in state-space equations when it is linear.
这一名称来源于下三角结构线性系统写成状态空间表达式后，系统矩阵中所表现出的下三角形状；
Based on the discrete points on the surface of auto body, a sparse-matrix searching method is used to generate triangular meshes automatically.
基于车身曲面的离散点，文章利用稀疏阵法搜寻法来自动生成三角形曲面。
Plane wave expansion techniques and transfer matrix method are used to study the two-dimensional photonic crystal with a triangular lattice of dielectric cylinders in air.
提出了用正、负折射率介质层交替排列构成的一维光子晶体模型，并且用传输矩阵法计算了该模型的透射谱，从理论上分析了其带隙结构。
Plane wave expansion techniques and transfer matrix method are used to study the two-dimensional photonic crystal with a triangular lattice of dielectric cylinders in air.
提出了用正、负折射率介质层交替排列构成的一维光子晶体模型，并且用传输矩阵法计算了该模型的透射谱，从理论上分析了其带隙结构。
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