查询词典 triangular matrix

Lyapunov second method is applied to analysis of partial stability of equilibrium of linear ordinary differential equation with constant coefficients, the problems on partial stable matrix, partial positive definite matrix and Lyapunov matrix equation are studied.

将Lyapunov第二方法用于研究常系数线性系统零解的部分变元渐近稳定性，可引出相关的一些特殊矩阵问题，包括部分稳定矩阵、部分位正定矩阵、矩阵方程的可解性等。

Thisproblem is changed into the matrix approximation problem with matrix inequalities.Further, it is changed into the generalized eigenvalue problem with linear matrix in-equalities. In addition linear state feedback controller is designed.

先将最优控制问题转化为具有矩阵不等式约束的矩阵逼近问题，又转化为具有线性矩阵不等式约束的矩阵广义特征值最小化问题，从而设计了相应系统的线性状态反馈控制器。

In Chapter 2, the D-symmetric solutions of matrix equation A~TXA = B on the linear manifold S ={X ∈ D~(-2)SR~|XZ = Y, Y = Y{D~2Z+D~2Z, Z~TD~2Y = Y~TD~2Z, Y,Z∈ R~}, by applying the generalized singular value decomposition of a matrix pair, the necessary and sufficient conditions for the existence and the expressions for the D-symmetric solutions of matrix equation A~TXA — B on the linear manifold are established.

运用矩阵对的广义奇异值分解，给出了这类线性流形上矩阵方程A~TXA=B存在D对称解的充要条件及其通解的表达式。另外给出了它的D对称最小二乘解的表达式。

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。

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 constrained matrix equation problem is to find the solution of a matrix equation in a constrained matrix set.

约束矩阵方程问题是在满足一定约束条件的矩阵集合中求矩阵方程解的问题。

Many will continue to choose to live in duality and in conflict.

许多人将继续选择活在二元对立性和冲突中。

I find that students of the University of Physical Education all wear sportswear at first sight.

我发现：体育大学的学生乍一看，都是穿运动衣，大家都一样