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相似变换

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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。

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。

Introduction of Probability, Schrodinger Equation, Uncertainty Principle, One Dimensional Quantum Systems, Linear Space and Matrices, Diagonalization of Matrices, Eigenvalues and Eigenvectors, Similarity Transformation, Central Field Systems, Helium Atoms, Angular Momentum.

量子力学( S0310)(3,0)机率简介、薛丁格方程式、测不准原理、一维量子系统、线性空间及矩阵、矩阵的对角化、本徵值及本徵向量、相似变换、中心场系统、氢原子系统、角动量。

Besides, the Similarity Transformation Method is better for plane rectangular coordinates.

对于平面直角坐标之间的转换,采用相似变换模型能收到较好的效果。

A new proof for properties of positive matrix

通过对正矩阵进行相似变换,给出了求正矩阵最大特征值的一种新的算法和相应的数值例子。

The relative precision of baseline is 10〓 in average. According to the similarity transformation of combined solutions of two adjacent weeks, the displacement precision is about 2.0mm.

根据基准站相邻两周综合解的相似变换结果的残差求得水平分量的中误差为2mm左右,此指标反映了位移的精度。

Analyze and compare the description feature points matching result of several kind basis. Adopt to pass similarity transformation matrix to describe the quality of matching methods. Draw up an experiment project, and draw up procedure through MATLAB.

分析比较了评价特征点匹配效果的几种依据,采用了通过相似变换矩阵来描述匹配好坏的方法,制定了实验方案,通过MATLAB编制程序,验证了SIFT算法的有效性。

Experimental results show that the method can deal with similarity transform in image registration.

实验结果表明:该方法能处理相似变换的图像配准。

Based on the theory of matrix, this paper focuses on the similarity of stress tensor in different coordinate systems and then an instance performed by Ansys and Matlab is given to validate this conclusion.

以矩阵论的相关理论为依据,论证在不同的坐标系下,应力张量满足相似变换的特性;并通过Ansys有限元分析软件与Matlab数值计算软件构建实验平台对此加以验证。

In many practice problems such as to know the resonnance frequency of a structure and to know the critical value for the stability of a dynamical system,often need to compute the eigenvalues of a symmetric matrix. The chief method to compute the eigenvalues of a symmetric matrix is first to transformate the matrix to a symmetric tridiagonal matrix similarly and orthogonally, then to use the QR method with shift to the symmetric tridiagonal matrix.

很多实际问题,如求结构振动的固有频率,动力系统稳定性的临界值等常常归结为计算对称矩阵的特征值,而首选的计算方法是先把该矩阵正交相似变换成一个对称三对角矩阵,再对这个对称三对角矩阵用带位移的QR方法。1968年J.H。

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