特征值

Through matrix transformation of similitude,the characteristic values and vectors of coefficient matrix M,and invertible matrix P could be cacutated.

经矩阵相似变换，求得系数矩阵M的特征值、特征向量和可逆矩阵P。

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。

The main contributions of the thesis are as follows: Using invariants and matrix theory, especially the special properties of eigenvalues and eigenvectors of the so called irreducible matrix, we put forward several effective new algorithms for the complete matching problem under Euclidean transformation, similarity transformation and general affine transformation.

论文的主要贡献如下：利用不变量和矩阵理论，特别是巧妙地利用了不可约矩阵的特征值和特征向量的特殊性质，提出了求解欧氏变换、相似变换和一般仿射变换下完全匹配情形的点模式匹配问题的几种非常有效的新算法。

Base on the continuity of eigenvalues, an iterative method of choosing the parameters of controller is presented.

离散混沌系统的控制提出了一类离散时间混沌系统的控制方法，控制的目标为系统的不稳定周期轨道，利用特征值的连续性，讨论了控制参数选取的迭代方法。

An optimal algorithm of the generalized Jacobi method is developed to solve the generalized eigen-problems in the finite element analysis of structural problems.

针对有限单元法结构分析中的对称方阵广义特征值问题，提出广义 Jacobi方法的一种优化算法。

Static load model and Jacobin comparable matrixs structures features were analyzed ,the results showed that the Jacobin comparable matrix characteristic would be changed after considered the load character, which have an impact on the static voltage stability.

并分析两种负荷模型与潮流雅可比矩阵的结构和特点，研究表明计及负荷特性后将改变雅可比矩阵的特征值，从而影响了系统的静态电压稳定性。

A matrix which has a set of complete eigenvector system can be similar orthogonally to a diagonal one through reduce it to Jordan's normal form, and based on this property,the reducing matrix was taken as the transformation one. Thus all eigenvalues and eigenvectors of the system can be obtained.

利用具有完全特征向量系的矩阵在约化若当标准型过程中可正交相似对角矩阵的特性，将变换矩阵取为约化若当标准型过程中的分解矩阵，从而求出所求系统的特征问题的全部特征值和相应的特征向量。

More and more people have been attracted in this research field. Theoretically, a least squares problem in matrix form can be rewritten in vector form by Kronecker product.

如在众多领域中拥有广泛应用的Sylvester方程，Lvapunov方程和带各种约束的"逆特征值问题"及其最小二乘问题等。

Kurtosis is an eigenvalue of normal distribution of the image.

峰度是一个能表征图像是否呈正态分布的特征值。

Using Fourier series expansion,Laplace transform and state space technique,the exactand closed form TFM solutions of natural frequency and buckling loads of composite cylindricalshells under arbitrary boundary conditions and external disturbances are obtained.

基于线弹性小变形理论，利用Fourier级数展开、Laplace变换和摄动方法，建立了各向同性材料和复合材料薄壁圆锥壳的静力响应、频率响应、自由振动与屈曲特征值问题的渐近传递函数解。

And Pharaoh spoke to Joseph, saying, Your father and your brothers have come to you.

47：5 法老对约瑟说，你父亲和你弟兄们到你这里来了。

Additionally, the approximate flattening of surface strip using lines linking midpoints on perpendicular lines between geodesic curves and the unconditional extreme value method are discussed.

提出了用测地线方程、曲面上两点间短程线来计算膜结构曲面测地线的方法，同时，采用测地线间垂线的中点连线和用无约束极值法进行空间条状曲面近似展开的分析。