矩阵

In the second part, we gave several basic and essential knowledge of inverse eigenvalue problems for Jacobi matrices: such as the properties of tridiagonal matrices, Jacobi matrices, orthogonal polynomials, Gauss quadrature formula and inverse eigenvalue problem for Jacobi matrices.

第二部分介绍了求解Jacobi矩阵反问题的基础：三对角矩阵和Jacobi矩阵，正交多项式，高斯积分方法的性质和Jacobi矩阵特征值反问题。

In terns of the general theory of linear algebra, reduced matrix for the operator M are similar to a Jordan matrix J, namely M = S~lJS .

当约化矩阵M不可对角化时，根据线形代数的一般理论，这时约化矩阵M与一个约当矩阵J相似，即M=S~(-1)JS，其中S是关于k，q_0的任意可逆矩阵。

The aim of this paper is to study the generalized inverse of matrices on rings, the generalized inverse of morphism and partial ordering of matrices.

矩阵广义逆的研究包括环上矩阵的广义逆，范畴中态射的广义逆，广义逆矩阵的计算和广义逆矩阵的应用等。

Unlike the previous method, however, the proposed algorithm obtains the new transformed matrix by taking the conjugate operation to the forward and backward spatial smoothing covariance matrix of the received data, so that the modified covariance differencing matrix which is a Hermitian matrix of zero real part can lower the computation load effectively during the eigenvalue decomposition.

不同于以前的算法，提出的算法通过对接收数据的前后向空间平滑协方差矩阵进行共轭运算得到新的变换矩阵，因此修正后的协方差差分矩阵是个实部为零的厄米特矩阵，从而有效地降低了特征分解过程的计算量。

The using of the technologies of DOA in the orientation estimating of interference is discussed, then an evolutive ESPRIT algorithm is put forward which avoids the eigendecomposition and is easily achieved. To the MUSIC algorithm, an easy eigendecomposition algorithm for Hermitian matrix is presented. It breaks away form the complex matrix decomposition such as QR algorithm. Basing on the whole matrix, the algorithm makes use of the multiplication operation of matrix and vector, which attains simpleness and is fit for DSP. In the field of DOA estimating of correlation interferences, spatial smoothing algorithm consumes too many array units.

讨论了DOA技术在干扰源方位估计中的应用，提出了一种ESPRIT演变算法，该算法避开了特征值分解，实现简便；在MUSIC算法的实现中提出了一个Hermitian矩阵特征值分解算法，该算法摆脱了复杂矩阵分解，从矩阵整体出发，主要的运算是矩阵与矢量的乘运算，算法简单，非常适合DSP芯片实现；在相关源的DOA估计中，空间平滑技术使阵元的损失非常大，本文提出了一种进一步降低阵元消耗的平滑技术—随机空间增益法，其在运算量上的增加很小，但对于相干源的去相关确是有效的。

The so-call'exportable equation'is found by nonlinear geometry method for general non-autonomous chaotic control systems which coefficient matrix of control term is functional matrix contained system variables. The homeomorphic transformation of coordinate is found under specified conditions, the coefficient matrix of control term can be transformed as constant matrix, the synchronization among chaotic systems can be realized by common control methods.

针对一般的非自治混沌控制系统中控制项系数矩阵是含有系统变量的函数矩阵，利用非线性几何线性化的方法找出所谓的"输出方程"，在一定的条件下求出坐标的同胚变换，将控制项系数矩阵变换为常矩阵，然后利用常规的控制方法进行混沌系统之间的同步化。

Through promoting matrix counter ,this article simply introduced the multinomial matrix ,compared with the good and bad points of the two counter algorithms in different, illustrated the utilization of counter in solving homogeneous line good equation sets, and discussed the decomposition of the Multiple polynomial matrix.

本文对逆矩阵的简单介绍后，阐述了多项式矩阵逆的定义及性质，比较了两种多项式矩阵逆的算法。讨论了在不同情况下利用逆在解线性齐次方程组的方法。最后探讨了多元多项式矩阵的分解问题。

Based on a delay-dependent bounded real lemma, the condition under which a decentralized robust H(subscript ∞) output feedback controller exists is derived and it is available to be attributed to a solution to the problem of nonlinear matrix inequality which can be expressed in terms of a homotopy function properly selected. Then, with the homotopic iteration method and the Schur complement lemma introduced, the solution can be converted into an iterative solution to the linear matrix inequality.

基于一个时滞依赖有界实引理，将系统鲁棒分散H动态输出反馈控制器的解归结为一个非线性矩阵不等式的求解问题；选取适当的同伦函数来表示该非线性矩阵不等式，采用同伦迭代算法及Schur补引理，将求解非线性矩阵不等式转化为线性矩阵不等式的迭代求解问题。

In this paper, we present the sufficient and necessary condition for the sum of a identity matrix and a generalized cyclic matrix is nonsingular, and obtain the formal representation of the relative gain array of the sum matrix.

本文给出了单位矩阵与广义循环矩阵的和矩阵的非奇异的充要条件，得到了这样和矩阵的相对增益阵列的显示表达式。

Since an elementary reflection in the form of a Householder matrix can reduce any orthogonal matrix to this constrained form, a series of such reflections can bring any orthogonal matrix to the identity; thus an orthogonal group is a

因为 Householder 正交矩阵形式的基本反射可把任何正交矩阵简约成这种约束形式，一系列的这种反射可以把任何正交矩阵变回单位矩阵；因此正交群是

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。