查询词典 functional matrix

In Chapter 4, the centro-symmetric solutions of matrix equation A~TXA = B on the linear manifold S ={X ∈ CSR~|||XY - Z||= min, Y,Z ∈ R~|}, using the quotient singular value decomposition of matrix pairs, the necessary and sufficient conditions for the existence and the expressions for the centro-symmetric solutions of matrix equation A~TXA = B on the linear manifold are established.

利用矩阵对的商奇异值分解，给出了这类线性流形上矩阵方程A~TXA=B存在中心对称解的充要条件及其通解表达式。

By using matrix norm, matrix singular value, non-negative matrix theory, the regions of numaerical range and spectum of operator polynomial and the regularity of operator linear pencil are obtained.

8应用矩阵范数理论、矩阵的奇异值理论、非负矩阵的理论、友矩阵、算子的谱理论为工具，获得了算子多项式数值域具有的特性及其包含范围，算子多项式数值域与n-次数值域的关系，最后研究了算子线性束正则性的等价条件及谱分布情况。

The propagation matrix method used widely in stratified media is extended to laterally inho-mogeneous media,and a numerical method known as generalized propagation matrix method for simulating elastic seismic wave propagation in inhomogeneous media is presented by using mixed variable elastic wave equation and matrix exponent solution of system of linear ordinary differential equations.

应用混合变量弹性动力学方程和线性常微分方程组的矩阵指数解法，将层状介质中广泛应用的弹性波传播矩阵解法推广至横向非均匀介质，给出了一种可计算复杂地质体中弹性波传播的广义传播矩阵数值解法。

In this paper,first,we analysis that there is an upper triangular matrix or a lower triangular matrix which is similar to a square matrix.

而当n比较大时，若A中的元素含非零元素比较多，这时求特征多项式有时也比较复杂。

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。

By means of similarity transformation upon the state matrix, an upper triangular matrix or lower triangular matrix is found. The eigenvalues of the original system can be obtained through a series of low-dimension matrixes over the principal diagonal.

该方法对系统状态矩阵进行相似变换，得到分块上三角或下三角矩阵，使原系统特征值可以通过主对角线上一系列相互独立的低维矩阵求得。

Comparing with traditional LU numerical decomposition algorithm to solve each row of lower triangular matrix L and each column of upper triangular matrix U, the proposed method is easy to program and efficient In addition, the structure symmetry of Jacobian matrix and the experience of compiler optimization are also adopted in this research, it makes less required memory for the proposed algorithm and higher calculation efficiency.

这种算法和求取L阵每列和U阵每行的传统LU分解方法相比，具有编程简单、计算效率高的优点。另外，雅可比矩阵结构对称以及编译器优化的经验也应用到文中，使得算法不仅占用内存较少，且效率较高。

Among them Al_(11)La_3 photograph is accumulated as a result of lesser cathode face, to quickening its all round of magnesian matrix corrode do not remove apparent effect; and area of cathode of lumpish Al_8LaMn_4 photograph is larger, form small couple to corrode with matrix, quickened matrix corrode.

其中Al_(11)La_3相由于较小的阴极面积，对加速其四周镁基体的腐蚀不起明显功能；而块状的Al_8LaMn_4相阴极面积较大，和基体构成微电偶腐蚀，加速了基体的腐蚀。

First, multi-conductor transmission lines are cut into pieces, every piece is modeled by a GTC cell. ABCD matrix of transmission lines is obtained via ABCD matrix of GTC cell. Maclaurin series of the matrix are obtained with great ease.

将非均匀、耦合、有耗多导体传输线分段，每段由一频域的GTC模拟，根据GTC的ABCD矩阵得出多导体的ABCD矩阵，接着将其麦克劳林展开式嵌入网络的修改节点方程并求得电路的频域冲击响应，利用指数衰减多项式求得时域冲击响应。

First, multi-conductor transmission lines are cut into pieces, every piece is modeled by a GTC cell. ABCD matrix of transmission lines is obtained via ABCD matrix of GTC cell. Maclaurin series of the matrix are obtained with great ease. The series are entered into the overall circuit MNA equations as a stamp. Then impulse response in S domain is gained.

将非均匀、耦合、有耗多导体传输线分段，每段由一频域的GTC模拟，根据GTC的ABCD矩阵得出多导体的ABCD矩阵，接著将其麦克劳林展开式嵌入网络的修改节点方程并求得电路的频域冲击响应，利用指数衰减多项式求得时域冲击响应。

The witness also told the jury at the Royal Courts of Justice in London that he saw a paparazzo fighting with a member of the public who was trying to stop him taking pictures in the minutes before the emergency services arrived.

他还告诉在伦敦皇家法庭的陪审团，在急救服务到来之前，他当时看见一个狗仔队正和一群阻止他拍照的人打架。

The entire N／C program on a tape is made up of an accumulation of these successive data blocks.

纸带上的整个数控程序由这些连续数据单元连接而成。