查询词典 bordered matrix

Starting from the polarization matrix and propagation equation of the cross-spectral density matrix, a detailed study of the influence of hard-edge aperture on the spectral switch of polychromatic vector Gaussian-Schell model beams is performed.

从偏振矩阵和交叉谱密度传输公式出发，分析了硬边光阑对多色矢量高斯－谢尔模型光束轴上光谱开关的影响。

The acoustical radiation power is expressed as a Hermitian quadratic form, while the radiation modes is determined by general eigenvalue decomposing, and then the radiation efficiency is computed via the orthodoxy of radiation modes with regards to impedance matrix and average velocity matrix; lastly, the validity of the method is proved by pulsating sphere and radiating cube with analytical results.

先将结构的声辐射功率表示为一个正定的厄米特二次型，运用广义特徵值分解求解了复杂结构的声辐射模态，然后利用声辐射模态关于阻抗矩阵与均方速度祸合矩阵的正交性，求解了复杂结构的声辐射效率，最后用具有解析解的脉动球与辐射立方体验证了该方法的有效性。

LetM n andH n be the n×n full matrix space and Hermitian matrix space over , repectively.

令M_n和H_n分别是上的n×n的全矩阵空间和Hermite矩阵空间。

The key technique in the MUSIC algorithm is the signal subspace extraction which can be found from the eigen decomposition of the sample covariance matrix of the antenna receive signal. The eigen value decomposition of a Hermitian matrix is implemented by using the QR algorithm, and the signal subspace is constituted by collecting the significant eigen vectors.

在复合信号分类演算法中的重要关键为信号子空间与杂讯子空间的分解，这两个子空间可以利用对天线收到信号的取样共变异矩阵做特徵值分解中求出，本篇并以QR演算法实现厄米特矩阵之特徵值分解，信号子空间便是由分解后的特徵向量所集合而成。

This paper characterizes all additive maps from Hermitian matrix space H_n to full matrix space M_n preserving inverses of matrices. It is shown that every additive map f:H_n→M_n preserving inverses of matrices is of the form f=eP~(-1)X~σP for all ?

本文刻画了所有从Hermite矩阵空间H_n到全矩阵空间M_n的保逆加法映射，证明了每一个保逆的加法映射f：H_n→M_n是f= eP~(-1)X~σP或者f= eP~(-1)~σP这种形式，？

The computation methods of the elements of Hessian matrix and the eigenvalues of Hessian matrix are discussed.

讨论了Hessian矩阵元的计算方法和Hessian矩阵特徵值的计算方法。

Thereby, sparsity of the Hessian matrix of the objective function is maintained by the approximate updated matrix sequence.

此算法的另一个重要性质是：算法产生的逼近目标函数Hessian阵的矩阵序列保持对称正定性。

Making use of the elementary matrix form of stereohomology, this work presents a theoretical framework with the approximately axiomatized form in computer graphics especially the three dimensional reconstruction based on homogeneous coordinates, and the analytical forms of projection and reconstruction with generalized meaning have been obtained, in which the Moore-Penrose pseudo-inverse of the camera matrix is employed.

通过给出的中心投影和平行投影等的解析解，提出计算机图形学、尤其是三维重建方面，基于齐次坐标表象的公理化的理论框架，并由此得到采用Moore-Penrose广义逆的、具有较为一般意义的投影与重建过程的解析表达式。

By means of homogeneous coordinates, a type of important subdivision—Rational Matrix Subdivision are proposed in chapter 2. Many good geometric properties of the curves with Rational Matrix Subdivision such as convex and variation diminishing properties are proved.

第二章以齐次坐标为工具，提出了一类重要的细分法——有理矩阵细分方法，并证明了其生成曲线的优良性质，例如凸包性、变差缩减性等（参见第二章§2.3节）。

Calculating the functions of the matrix exponential e has special significance in the theory of linear systems and the theory of semi-groups. Especially, in the modern control theory, no matter the equation is homogeneous or non-homogeneous, the result depends on the calculation of the matrix exponential e.

矩阵指数函数e的计算在线性系统理论及半群理论中有着特殊的作用，在现代控制理论中，无论是齐次方程还是非齐次方程的求解，主要取决于矩阵指数函数e的计算和近似。

The studies on the developing of new media are very important to the increasing of the area density of HDD and to the implementation of hybrid recoding technology.

光磁混合记录方法，是一种可以突破超顺磁极限的限制，并进一步提高硬盘记录密度和读写速率的一种新型超高密度信息存储方式。

In io, mTOR inhibition promotes T cell anergy under conditions that would normally induce priming.

体内研究中，在正常可激发免疫反应的条件下，抑制mTOR可促使T细胞无能。