查询词典 matrix transform

In chapter one,we discuss tournament matrices that can not end in tie and theyare(0,1)-matrices,we first obtain a better lower bound for the number of regulartournament matrices,then we discuss the payoff matrix of tournament matrix,obtainsome properties of positive tournament matrices,a correlation between the spectralof a tournament matrix and its payoff matrix.We find serveal conditions that areequivalaent to a tournament matrix having 1 as its a eigenvalue.

第一章讨论不允许平局的竞赛矩阵-（0，1）-矩阵，得到了正则竞赛矩阵数目的一个下界，它改进了文献〓中已有的结果；在文献〓的基础上进一步讨论了正竞赛矩阵的性质，给出了利用已知平衡向量构造新平衡向量的方法；讨论了竞赛矩阵和它的支付矩阵的特征值之间的关系；指出了文献〓中的一个错误，回答了文献〓中的一个公开问题，得到了整数1为竞赛矩阵的特征值的充要条件及这种矩阵的谱根与得分向量之间的关系。

As the widely used resin matrix and composites, two kinds of epoxy matrix and its CF/epoxy composite and GF/composite have different mechanics property under different temperature. The result shows that the thermal property of the composite mainly depends on the matrix. If the matrix can resist high temperature, its composite can also have high strength under high temperature. resin matrix composite, thermal resistance, thermal deformation coefficient, severity retentivity ratio

多年来 ，人们一直致力于耐高温复合材料的研究工作，在耐高温树脂中能经受长期高温氧化的热固性树脂只有聚酰亚胺，本文主要研究三种树脂基复合材料在不同温度下的性能，即以聚酰亚胺为基体的复合材料以及两种环氧基复合材料在不同温度的性能。2 实验2 。1 材料选择研究中所用的增强材料选用英国考陶尔兹公司T30 0型碳纤维和进口UM - 40碳纤维以及南玻院S2高强玻璃纤维

At first, the paper quote a kind of special matrix ---sign symmetric matrix , anti sign symmetric matrix , weakly sign symmetric matrix and introduced some important results in spectral property about them from some bibliographies. And then, the paper extended the formerly results and gave more general conclusions about spectral property of sign symmetric matrix.

本文首先引入了一类特殊矩阵的概念——符号对称矩阵，反符号对称矩阵以及弱符号对称矩阵，在相关文献中对这类矩阵谱特征的已经有了一些结论，本文在前人研究的基础上将相关结论做了进一步的推广，得出了有关这类符号对称矩阵谱特征的更一般性的结论。

Our results improve the former results. For periodic Jacobi matrix, some new spectral properties of periodic Jacobi matrix are given by studying the relationship of the eigenvalues of periodic Jacobi matrix and its n—1 principal submatrix. Applying these spectral properties, we present a necessary and sufficient condition for the solvability of an inverse problem of periodic Jacobi matrices and discuss the number and the relationship of its solutions. Furthermore, we propose a new algorithm to construct its solution and compare it with the former algorithms. As this inverse problem of periodic Jacobi matrix usually has multiple solutions as many other eigenvalue inverse problems, we study the uniqueness of this problem. And a necessary and sufficient condition is given to ensure its uniqueness, under which an algorithm is presented and the stability analysis is also given. Finally, we put forward a new inverse problem for periodic Jacobi matrix which has not been solved.

对周期Jacobi矩阵特征值反问题，通过研究周期Jacobi矩阵与其n-1阶主子阵特征值的关系，给出了周期Jacobi矩阵的一些新的谱性质；利用这些谱性质，研究了一类周期Jacobi矩阵特征值反问题，用新的方法推导出了该类特征值反问题有解的充分必要条件，并讨论了解的个数以及解与解之间的关系；此外，提出了一种新的构造周期Jacobi矩阵反问题解的数值算法，并与前人的算法做了一定比较；由于周期Jacobi矩阵特征值反问题和其他很多特征值反问题一样往往存在多个解，本论文给出了周期Jacobi矩阵反问题解唯一的充要条件，并发现周期Jacobi矩阵特征值反问题的解唯一当且仅当构造的矩阵满足一定的条件；在解唯一的情况下，给出了构造唯一解的数值算法，并做了相应的稳定性分析；最后，提出了一类新的有待于解决的周期Jacobi矩阵特征值反问题。

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。

This artic le researches a fast algorithm which extends the system matrix of JD into b lock circulant ma-trix,then uses block Fourier transform and block circulant matrix to perform matrix inversion and operation s.

提出一种快速算法，将联合检测的系统矩阵扩展成块循环矩阵，利用块FFT和块循环矩阵进行快速矩阵求逆和简化矩阵运算。

In this paper, taking the downward continuation of potential field as an inverse problem of upward continuation, we obtain a convolution type linear integral equation for downward continuation. Making use of the orthogonal symmetry characteristic of Fourier transform matrix, and combining the principles of singular value decomposition of matrix and generalized inverse, we proposed a stable generalized inverse method for downward continuation of potential field, called wavenumber domain generalized inverse algorithm, which doesn't need the computation for inverse matrix. It resolves the instability of potential field downward continuation of large depth.

本文通过把位场向下延拓视为向上延拓的反问题，得到向下延拓的褶积型线性积分方程，再利用Fourier变换矩阵的正交对称特性，并结合矩阵的奇异值分解和广义逆原理，提出了一种稳定的不需要进行求逆运算的位场向下延拓广义逆方法——波数域广义逆算法，解决了位场大深度向下延拓的不稳定性问题。

Firstly,the wavelet-based contourlet coding using an SPIHT-like algorithm is utilized on the plain image,and as a result,the compressed datum stream could be achieved which is then mapped to a 3D bit matrix. Afterward,a chaotic sequence is generated by Lorenz chaotic map,and it is preprocessed to a bit sequence which is used to permute and substitute the elements of the 3D bit matrix achieved above. In the end,the processed 3D matrix is mapped back to datum stream,and the encrypted compressed image could be achieved if decoding and inverse transform are performed on the datum stream.

首先采用基于小波的Contourlet变换的类等级树集合分割编码算法对明文图像进行压缩，得到压缩数据流，然后将压缩数据流映射为一个三维位矩阵；利用Lorenz混沌映射产生混沌序列，并对其进行预处理得到比特值序列，根据比特值序列对上述三维位矩阵进行置乱和替代操作；将置乱和替代后的位矩阵重新映射为数据流，并对其进行解码和反变换操作，得到加密后的压缩图像。

Based on the special decomposition of Hankel matrix, we can transform the problem of approximating a given matrix with a positive semidefinite real Hankel matrix of lower rank to a smooth unconstrained optimization problem.

对矩阵的低秩Hankel半正定矩阵逼近，采用特殊的分解形式，可将其转化为一个无约束的优化问题进行求解，本文应用拟牛顿方法求解无约束优化问题。

A new approach-two dimensional principal component analysis(2DPCA) is developed for face recognition. 2DPCA approach dont need to transform the image matrix into feature vector. It directly uses the image matrix to construct the sample covariance matrix.

5研究了二维主成分分析(2DPCA)方法，2DPCA方法不需要先将图像矩阵展开成一维向量，而是直接利用图像矩阵来构建样本协方差矩阵，所以2DPCA比PCA的识别时间更短，识别更高。

The work of this paper is as follows: 1. Looking back the progressing history of the linear motor, introducing the features of the elevator driven by linear induction motor, radicating the topic of this paper "the digital frequency variable control of the elevator bi-side direct driven by linear induction motor". The research of this paper covers the conventional VVVF control, space vector based VVVF control, vector control and DTC.

本文主要开展了以下几个方面的工作： 1 回顾了直线电机发展历史，电机的驱动技术演变，特别是针对直线电机的驱动，简要介绍了直线感应电机驱动电梯的优点和不同结构类型，对传统的v／f控制，基于空间矢量法的v／f控制，矢量控制，和基于电压空间矢量的直接转矩控制进行了比较，确立了本课题的研究主题：直线感应电机双边直推式驱动电梯的全数字变频控制。

The article combines with the treatment of a superficial civil air defense work to introduce how the grouting method to improve the performance of the backfill soil.

文章从治理漂浮人防工事的角度提出了注浆技术在改善回填土性质方面的应用，并详细阐述了注浆技术的施工流程。