查询词典 The Matrix

The least norm solutions of symmetric and skew antisymmetric matrix equations (A~TXA, XA — YAD)=(D, 0)are also considered. 3. The least-squares solutions and the least norm solutions of the quaternion matrix equations AX = B and XD = E are studied by using

借助四元数的复表示方法，研究四元数矩阵方程组AX=B，XD=E的最小二乘问题和极小范数解的问题，并对主子阵约束下的方程组的解进行了讨论，得到了它们的显式表示。

Robust aposteriori L〓 filtering to noise inputting matrix uncertainty system can be reduced to the solution of a linear matrix inequality too.

对噪声输入矩阵不确定性情况下的鲁棒L〓验后滤波，本文的解法也归结为一凸优化问题，可有效的求解。

By using generalized inverse of matrix,the sufficient condition of "pole assignment theorem"is proved;and the general expression containing arbitrary parameter is obtained for the feedback of gain matrix.

该方法利用矩阵广义逆理论，证明极点配置定理的充分性条件，并得到反馈增益矩阵的一个含有任意参数的一般表达式。

At first,local connectivity matrix is derived from the modified fuzzy Gabriel graph,then this matrix and the assumptive prototype of global data distribution are used to construct a new clustering performance criterion.

首先用改进的模糊Gabriel图得到样本数据的局域连接矩阵，然后它和数据的全局分布原型假设一起构造新的聚类准则。

Second, when the system does not satisfy such detectability but satisfy other conditions, there is a gain matrix ensuring the asymptotic convergence of the observer error, and the sufficient conditions and the method of solving gain matrix are obtained similarly.

其次， 当系统不满足该可检测性，但满足其它条件时，仍存在使得观测误差渐近收敛的增益矩阵，并类似地得到了增益矩阵满足的充分性条件和计算方法。

Chapter 9: We report a large quantity of numerical experiments of 13 different algebraic multigrid algorithms for solving the Poisson equation, anisotropic equation, equation with cross-derivative terms, general matrix problems with large off-diagonal positive entries, biharmonic equation, Toeplity matrix, elasticity systems, finite element discretization of the Laplacian and even 3D problems. Particular attention is focused on asymptotic convergence factors and CPU-time consumed. Numerical results for many different types of practical problems demonstrate the efficiency and robustness of the proposed algebraic multigrid methods.

第九章：在各种代数多重网格算法的基础上，进行了大量的数值试验，具体给出了十三种不同的代数多重网格方法求解泊松方程，各向异性方程，带混合导数项的方程，带有大的非对角正元素的一般矩阵问题，重调和方程，托普利兹矩阵，弹性力学方程组，拉普拉斯算子的有限元离散，甚至三维问题的较为丰富的数值结果，重点关注它们的渐近收敛因子和所需的CPU时间，来源于不同类型问题的计算结果既为代数多重网格理论分析和算法的改进提供了很实用的资料，同时也证实了本文给出的代数多重网格算法的效绩和稳健性。

In our study on the quantitative Auger analysis three main matrix effects, the escape depth λ, atomic density n and the backscattering factor R, which is the most important matrix parameter, are considered.

本文对信息深度范围内可视作均匀的多元合金，提出一种新的定量俄歇分析方法。

To avoid or reduce re-analysis, we derived the augmentative matrix variation only in summation of the previous matrices time the outside-perturbed parameters by decomposing the element stiffness and mass matrix. The implicit function of amplitude about design variables such as cross-areas and lengths is changed into simplistic function about the perturbed parameters of design variables. Several methods for determining the value of perturbed parameters are detailed.

为避免或减少重分析，将有限元单元阵进行了分解变换组装，使振幅与设计变量如截面面积、长度的复杂隐函数关系转化为对设计变量摄动参数的显式关系，进而将设计变量摄动参数提取在分解后的几个常数刚度阵、质量阵之外，避免了在迭代求解过程中重组刚度阵与质量阵，较快地获得问题的解。

Moreover, the definitions of the first class of weak controllable matrix and its augmented matrix are given.

非线性系统Ⅰ型弱能控矩阵在计算上可能是相当繁复、不够实用的，有必要加以化简。

With this method, the controller of the PWM DC/DC converter is designed. Utilizing augmented matrix to build a tracking control model with no steady error, and through select weighted matrix to perform the no overshoot and dynamic response of system.

通过引入增广矩阵，增加了控制量U*中对误差的积分环节，推导了无静差跟踪控制系统模型；在目标函数的构成参量和形式确定之后，通过选取适当的加权矩阵，实现系统的无超调动态响应。

Looking to bounce back from defeat against Cesena last weekend, the Calabrian boss will be sticking to his tried and tested 4-3-3, with Lopez and Sedivic joined up front in Giampaolo's absence by either Nanni or Plasmati.

鉴于上周末对切塞纳的比赛中反败为胜，这支南方球队将会更坚持其一贯而有效的4-3-3阵型，洛佩斯和塞德维奇将取代受伤缺席的詹保罗，和纳尼或者帕斯马蒂中的一个搭档锋线。

Meanwhile, their exposure to the more freewheeling ways of the West broadened dramatically.

另外，西方较自由的生活方式对年轻人的影响增大。