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Summary: The concept of matrix and its determinant computing, matrix determinant, matrix sub-block with the elementary transformation, invertible matrix, rank of matrix; vector and its computation, the linear relationship between vector, vector group of rank; linear equations of the nature and structure of linear equations; matrix eigenvalue and eigenvector, similar to matrix and matrix diagonalization conditions, the standard quadratic form with the normal forms, quadratic and symmetric matrix There are qualitative.

内容提要:行列式矩阵的概念及其运算,方阵的行列式,矩阵的分块与初等变换,可逆矩阵,矩阵的秩;向量及其运算,向量间的线性关系,向量组的秩;线性方程组的性质与结构,线性方程组的求解;矩阵的特征值与特征向量,相似矩阵与矩阵可对角化条件,二次型的标准形与规范形,二次型和对称阵的有定性。

Secondly, the invertible assignment problem are studied. At last, we explored the conditions on the invertible completion of part matrix Mx and obtained the characterizations of the relovent operator of invertible completion.

利用构造分块初等矩阵、算子广义逆、极分解、谱分解为工具,深入地研究了算子对的逆补Mxy、算子逆配置的一系列等价刻画及一般性结论、缺项算子矩阵存在逆补Mx的等价刻画,并获得了逆补的预解集的性质刻画。

Present a new LVQ wavelet image coding algorithm in which entropy coding and enumeration codes of different length are utilized. For wavelet image coding, there is a problem of mismatch between lattice distribution and the input vector probability density function in traditional LVQ algorithms (such as product-code pyramid VQ and piecewise uniform LVQ).

提出一种使用熵编码和非等长枚举码的格点矢量量化算法用于小波图象的编码,该算法以格点标记码码长的变化来适应输入矢量的非均匀分布,解决了传统的乘积码塔形矢量量化和分块均匀格点矢量量化算法中格点的调整难以与输入矢量概率分布实现良好匹配的问题。

By means of similarity transformation upon the state matrix, an upper triangular matrix or lower triangular matrix is found. The eigenvalues of the original system can be obtained through a series of low-dimension matrixes over the principal diagonal.

该方法对系统状态矩阵进行相似变换,得到分块上三角或下三角矩阵,使原系统特征值可以通过主对角线上一系列相互独立的低维矩阵求得。

The optimal size of main storage block is studied in this paper.

最优内存分块大小,衡量指标是一份信息存放后浪费的字符位数的期望值;2。

In this paper, a class of matrix equation AXB = C is discussed.

中文摘要:本文针对一类一般意义下的矩阵方程,即AXB=C,应用矩阵分块的技巧,并结合特定矩阵的结构特征,采用合适的分解方法,给出了它有双对称,双反对称解的充要条件以及在条件满足时的通解表达式,并给出了各自在不同情况下的最佳逼近解。

By using block matrix sequence , the equation expression of matrix sum and matrix product sequence is given.

利用分块矩阵的秩给出了矩阵的和与乘积秩的等式表示,作为结论应用,给出了矩阵的和与乘积等运算秩的有关不等式。

The Reflexive Solutions Of The Matrix Equation discusses the solutions that satisfies or, and it is called reflexive solutions.

本文利用矩阵方程的系数矩阵秩的关系、矩阵的运算、矩阵的分块及矩阵的广义逆等,给出矩阵方程有解的条件、解的个数及解的结构。

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

The decomposition of the eigenspace of the defective matrix and the general form of Jordan chain ;2. The general form of the maximal Jordan chain s of the defective matrix is getten with the notation of depths of the generalized eigenvectors.

利用广义特征向量的深度,获得极大若当链的一般形式,并推导出在满足PJP-1=SJS-1的2个可逆矩阵P和S之间存在一个主对角线上具有上三角分块Toeplitz子阵的可逆矩阵H,使得S=PH,从而证明广义特征矩阵的唯一性。

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

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

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