矩阵的矩阵

Firstly, based on natural gradient and nonlinear principle component analysis, a matrix equation is obtained by block recursive updating, and then the matrix equation is solved by using QR factorization and back substitution to obtain the optimal separating matrix.

首先基于自然梯度和非线性主分量分析，构造出按块递归更新的矩阵方程，然后用QR分解和回代法逐块求解该矩阵方程得到最优分离矩阵。

In this paper, the concept of congruent diagonalization of matrix is presented, and the problem of diagonalization of one matrix is generalized.

提出矩阵合同对角化概念，对一个矩阵对角化问题进行推广思考，讨论了二个矩阵的同时对角化问题，取得了一些结果，给出了有关算

When a matrix causes no transformations, you have what is known as a unit or identity matrix.

当一个矩阵的作用没有产生型变时，我们把这个矩阵叫做单位矩阵

This paper discusses and researches some special matrix, and mainly does following several aspects.First, The special products of some matrices, as Fan product, Kronecker product and Hadamard product, are discussed. Some little results such as the Kronecker product of normal matrix is still normal matrix are obtained.

本文对若干特殊矩阵进行了探讨和研究，主要作了以下几方面的工作：第一，本文对一些特殊矩阵的特殊积，如Fan积，Kronecker积，Hadamard积等进行了讨论，得出诸如正规矩阵的Kronecker积仍是正规矩阵等一些结果。

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。

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 this paper,new quadratic PEk method and quadratic EPEk method are given for solving a system of linear algebraic equations whose matrix of coefficients is tridiagonal blocked matrix.

建立求解系数矩阵为分块三对角矩阵的线性代数方程组的新型二次PEk方法以及其外插迭代二次EPEk方法，对系数矩阵为对称正定矩阵情形，证明了新型二次PEk方法和二次EPEk方法的可解性和收敛性

Using a planar target as intermedium, an optimized object function of the position and orientation transformation matrix of the sensor is established; and the matrix, namely registration matrix, is derived from the feature points on the planar target.

采用一个平面靶标作为中介，建立了传感器位姿变换矩阵的优化目标函数，根据靶标上多个特征点求解出该矩阵，即拼接矩阵。

Of the fundamental matrix in (2) satisfies the differential equation =A , it follows that the matrix = itself satisfies the matrix differential equation Because its column vectors are linearly independent, it also follows that the fundamental matrix is nonsingular, and therefore has inverse matrix .

基本矩阵的求解由于（2）中的基本矩阵的列向量满足微分方程A，进而这个矩阵本身就满足矩阵微分方程。

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。