查询词典 matrix

In this paper,a definition of basic elementary matrix is given and the conclusion is drawn that any matrix can be resolved into limited basic primary matrix product.

给出基本初等矩阵的定义，得出任何方阵都可分解为有限个基本初等矩阵的乘积的结论。

In this paper, a practical solving method and an expression of general solution of a matrix equation AXB=CYD are given by using matrix techniques and elementary operation s on matrix.

应用矩阵的初等变换技巧，给出了任意域上矩阵方程AXB =CYD的通用表达式及解法。

The brief proof is given for " row elementary operation s keep the linear relationship of column vectors of matrix",by using multiplication of partitioned matrix and the relation between elementary matrix and elementary operation.

利用初等矩阵与初等变换的对应关系及分块矩阵的乘法，给出矩阵的行初等变换不改变其列向量组的线性关系的一个简易证明。

How to judge whether judgement matrix has weak consistency or not is proposed, and the theory and algorithm to find equivalent consistency matrix of weak consistency judgement matrix is designed.

从寻求灰色判断矩阵的所有一致性白化阵、灰元的最小灰域的角度出发，去给出灰色判断矩阵的弱一致性和一致性定义，证明了一致性灰阵中所含信息均为一致性信息，并给出了判定矩阵是否具有弱一致性和寻求弱一致性判断矩阵的等价一致性矩阵的定理和算法。

Strong matrix organization strong matrix organization is the other extreme form of matrix organization .

强矩阵组织强矩阵组织形式是矩阵组织形式的另一个极端。

In this algorithm scheme, the multiplication of inverse matrix and a matrix is executed by the matrix triangular factor decomposition and back-substitution for the solution.

该算法保留了原方程组系数矩阵的稀疏存储方式和稀疏矩阵的运算规则，减少了计算时间和运算过程所需要的存储空间。

By combining the interval mathematics and the finite element analysis, the mass matrix, damping matrix, stiffness matrix and the external loads are represented as interval matrices and vector.

通过结合区间数学和有限元分析，结构质量矩阵、阻尼矩阵、刚度矩阵和外载荷列向量采用区间矩阵和区间向量来描述。

For some shortcomings of unknown quantity numbers in finite element method, QR-method establishes a transformed relationship between a unit node displacement vector and the entire framework of spline node displacement vector,making the structure of the total stiffness matrix, damping matrix, mass matrix directly superimposed in no need of finite element method in the first expansion after the superposition process. So the method greatly simplifies the calculation process and improves computing speed.

针对有限单元法中未知量数目很多的缺点，QR法建立起单元结点位移向量与整个框架样条结点位移向量的转化关系，使得结构总刚度矩阵、阻尼矩阵、质量矩阵可以直接叠加，不需要有限单元法中先扩张后叠加的手续，大大简化了计算过程，提高计算速度。

With proving the isomorph between the function matrix algebra systems and the Boolean algebra s disjunction-conjunction systems,a method of extending the function matrix is proposed,and the expanding theorem of the extended function matrix is proven.

提出了功能矩阵的概念，在证明功能矩阵的代数系统与布尔代数析取合取代数系统同构的基础上，对功能矩阵进行扩展，并证明了扩展功能矩阵的展开定理；利用扩展功能矩阵逐步展开与约简，实现了功能的求解算法。

Boley and Golub used Gauss quadrature formula to solve the inverse problem, but I used other different methods and thoughts. I obtained a new decomposition form of orthogonal matrix consisted by the unit eigenvectors of Jacobi matrix and found the direct relations between the first row and the orther rows of this orthogonal matrix.

Boley和Golub的算法是用高斯求积公式，而本人另辟蹊径，推出了关于Jacobi矩阵单位特征向量组成的正交阵的一种分解形式，并找到此正交阵第一行和其它行的直接联系，由此避免了通过求特征多项式计算尾主子阵的特征值，得到了新的稳定解法。

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。