查询词典 moment matrix

Using minimum upper bound and matrix Riccati equation, a robust lower guaranteed cost fault tolerant controller is designed for interval matrix systems with performance index in a finite or infinite time interval. The systems under consideration have uncertainties both in system matrix and input matrix.

利用最小上界及矩阵Riccati方程，给出了系统矩阵和输入矩阵均含有不确定性时，区间矩阵系统有限时间及无限时间保低成本鲁棒容错控制器设计方法。

We analyze the essence of affine reconstruction and prove the sufficient conditions that a reversible matrix can be an infinite plane homography matrix and we can not uniquely decide an infinite plane homography matrix from fundamental matrix.

详细分析了仿射重构的本质，证明了可逆矩阵为无穷远平面单应矩阵的充分条件，以及从基本矩阵无法唯一确定无穷远平面单应矩阵。

It usually takes a long time to fill the impedance matrix when using higher-order MoM. To solve this problem, the properties of the impedance matrix elements and the involved integral are investigated. Then it is proposed to take advantage of the symmetry of impedance matrix and the integral table to expedite the impedance matrix filling.

针对高阶矩量法阻抗矩阵填充时间很长的问题，从阻抗矩阵元素本身的性质和积分计算过程入手，提出了应用阻抗矩阵对称性和积分表方法两种加快阻抗矩阵填充的手段。

In Chap 3, we give the definitions of left inverse and right inverse; present the fast algorithms of left inverse and right inverse for Toeplitz matrix, Hankel matrix, Loewner matrix and Vandermonde matrix with mxn order.

第三章先给出左逆及右逆的定义，然后分别给出了求m×n阶Toeplitz矩阵、Hankel矩阵、Loewner矩阵、Vandermonde矩阵的左逆及右逆的快速算法。

This is the so-called Duerlite algorithms: from the bottom row of the matrix A do elementary transformation, the diagonal elements into the bottom left of zero, and then show the effect of these lines is equivalent to transform the left by a unit lower triangular matrix, this series of unit lower triangular matrix inverse is the product of L matrices, it is also a unit lower triangular matrix.

这正是所谓的杜尔里特算法：从下至上地对矩阵A做初等行变换，将对角线左下方的元素变成零，然后再证明这些行变换的效果等同于左乘一系列单位下三角矩阵，这一系列单位下三角矩阵的乘积的逆就是L矩阵，它也是一个单位下三角矩阵。

Among thses matrices, bidiagonal matrix and approximately lower triangular array matrix have determinate construction and can provide linear encoding algorithm, and both subscript matrices, masking matrix and permutation matrix need to be redesigned.

其中双对角线矩阵和近似下三角阵列矩阵是确定结构的，具有高速线性编码的功能；而两种下标矩阵、模板矩阵和置换矩阵均具有类随机结构特征，可以根据需要进行再设计。

For this purpose,by using the geometry mean method that the product of corresponding factors from the different judgement matrix,for the different judgement matrix built by each expert in the group decision-making,the mean judgement matrix,or the judgement matrix of group decision-making,...

并利用严密的数学方法证明了"所构造的矩阵能保持一致性和满意性"的重要结论。该方法运算简单，不仅为AHP群决策判断矩阵的建立提供了一种有效的方法，而且为群决策的研究提供了一定的理论依据。

Then, we set up the double-row monodromy matrix of the Hamiltonian, the transfer matrix and the reflection equation of the system with the help of the scattering matrix and the reflecting matrix.

接着借助量子反散射方法，运用两体散射矩阵和反射矩阵，构造了双行monodromy矩阵、转移矩阵和系统的边界反射方程，从而详细证明了系统的精确可解性。

However, the properties of nilpotent matrix have not been much explored although its definition is given in discussing the multiplication of matrix, As special forms of matrixes, nilpotent matrix plays a key role not only in the theory of matrix but also in actual application.

幂零矩阵作为特殊矩阵无论在矩阵理论方面，还是在实际应用方面都有重要的意义。

The algorithm has following properties: Although the merit function has the form of least squares of a system of overdetermined equations, in the Newton equation of our algorithm, only the coefficient matrix of the system of overdetermined equations is used instead of its product as in Guass-Newton method for solving the least squares problems. That is, our Newton method is more like that for the system of nonlinear equations rather than that for LSPs. The global convergence is obtained for VLCP with vertical block P_0 + R_0 matrix; The local quadratic convergence rate is proved under the condition that the solution is BD-regular; Although there is only a Newton equation in our algorithm, the finite convergence property can be shown if matrix is vertical block P— matrix (without the hypotheses of strict complementarity).

该算法具有下列特点：所构造的价值函数虽然具有超定方程组的最小二乘问题的形式，但在基此建立的Newton算法中，其Newton方程的形式更象非线性方程组的Newton法中的Newton方程，仅利用了超定方程组的系数矩阵本身的信息，避免了一般最小二乘问题的Guass-Newton法中必须计算系数矩阵的乘积的工作量；对竖块P_0+R_0矩阵的垂直线性互补问题，算法具有全局收敛性；在解是BD-正则条件下，证明了算法的局部二次收敛性；虽然算法只含一个Newton方程，但对竖块P-矩阵垂直线性互补问题，算法具有有限步收敛性。

Now she was hungry and angry.She began to smoulder.

现在她又饿又气，她开始流露难以抑制的怒火。

You have placed our iniquities before You, Our secret sins in the light of Your presence.

诗90：8 你将我们的罪孽摆在你面前、将我们的隐恶摆在你面光之中。