矩阵的矩阵

Positive definite matrix ; \ inverse matrix ; \ Schur complement of matrix

正定矩阵；逆矩阵；矩阵的Schur补

In this paper, we get several properties about this kind of matrix including three adequate conditions and two contract forms according to the important properties of regular matrix and exchangeable matrix.

利用正规矩阵和乘积可交换矩阵的重要性质，给出了亚正定矩阵的三个充分条件以及其合同矩阵的两个分解形式。

In Chapter 3, we discuss the synchronization of coupled dynamical systems on condition that the external coupling matrices are n × n irreducible symmetric real matrices with zero row sum and nonnegative off-diagonal elements and internal coupling matrices are m × m asymmetric matrices.

在第三章我们讨论了耦合动力系统中，当外部耦合矩阵是n×n阶实对称不可约，行和为零且对角线以外的元素非负的矩阵，内部耦合矩阵是m×m阶非对称矩阵时耦合系统的同步问题。

Chapter 2 is devoted to the discussion of the synchronization of coupled dynamical systems with the external coupling matrices being n × n irreducible circulant real matrices having zero row sum and nonnegative off-diagonal elements and internal coupling matrices being m × m symmetric positive definite matrices.

在第二章我们讨论了耦合动力系统中，当外部耦合矩阵是n×n阶实循环不可约，行和为零且对角线以外的元素非负的矩阵，内部耦合矩阵是m×m阶对称正定矩阵时耦合系统的同步问题。

Seeing image as a matrix, the method applied singular value decomposition on image matrix to decompose image information to a series of sub-spaces correspond to singular value and singular value vector, and then by reconstruction of image matrix using effective singular value to remove noising.

从矩阵的角度出发，通过对图像矩阵进行奇异值分解，将包含图像信息的矩阵分解到一系列奇异值和奇异值矢量对应的子空间中，然后通过有效奇异值重构图像矩阵达到去噪目的。

This paper investigates the smallest singular value of matrices, the spectral radius of the iterative matrix, the minimal eigenvalue of irreducible M-matrices and some spectral properties of tensor product of matrices.

本文主要研究了矩阵最小奇异值，迭代矩阵的谱半径，不可约M矩阵的最小特征值以及矩阵张量积的一些谱性质。

However in studying the transpose of matrix much focus has been given on the definition of symmetric matrix and anti-symmetric matrix while their properties have not been fully explored.

在高等代数中矩阵是研究问题很重要的工具，在讨论矩阵转置时给出了对称矩阵和反对称矩阵的定义，但对它们的性质研究很少。

An obvious appproach to study the properties of Toeplitz matrix is to approximate them by sequences asymptotically equivalent of circulant matrices and then applying the results developed thus far.

在研究Toeplitz矩阵的性质时用循环矩阵来渐进等价或近似能得到很好的结果，这样有关循环矩阵和渐进等价等结论能够运用到Toeplitz矩阵的讨论中。

The HIP algorithm transforms the channel matrix column orthogonally based on Householder transform to avoid the operation of upper triangular matrix and sort the channel matrix only once.

该算法对信道矩阵按列进行Householder正交变换，避免了求上三角矩阵的运算并且仅对信道矩阵进行1次排序。

In addition, incorresponding solution set of the equation.The explicit expression of the nearest matrix to a given matrix in the Frobenius noum have been provided.

另外，研究了矩阵方程的自反矩阵解集，利用矩阵的分解，导出自反矩阵问题的最佳逼近解。

I didn't watch TV last night, because it .

昨晚我没有看电视，因为电视机坏了。

Since this year, in a lot of villages of Beijing, TV of elevator liquid crystal was removed.

今年以来，在北京的很多小区里，电梯液晶电视被撤了下来。