singular matrix

Error Analysis of Krylov Method of Singular Matrix

奇异矩阵的Krylov方法的误差分析比较

The improved PCA is used to reduce the dimension first to get the optimal characteristic subspace of the original sample data set. In this process, the intra-class scatter matrix of the characteristic subspace should be ensured to be non-singular.

首先，用改进PCA算法对原样本降维，获得最优特征表示子空间；然后，在保证该子空间类内散度矩阵非奇异的基础上，作改进的线性判别分析。

Furthermore, each element in the singular stiffness matrix can be expressed by some more simple analytic formulas.

而且奇异单元刚度矩阵中的各元素可以用较简单的分析式表出。

Digital image is transformed into singular value matrix that contains non-zero singular values by singular value decomposition ( SVD), the image is compressed.

通过对图像进行奇异值分解，将一幅图像转换成只包含几个非零值的奇异值矩阵，实现图像压缩。

Solving the Optimal Portfolio of Singular Covariance Matrix by Orthogonal Linear Transformation

正交变换求解奇异协方差矩阵的投资组合问题

On the Inclusion Region of Singular Values of Matrix

关于矩阵奇异值包含区间

This paper presents an algorithm and a corresponding networks to deal with blind separation of sources in the case of singular mixing matrix.

混合信号盲分离问题是一类很难而又具有很强应用背景的问题，以往对这类问题的研究均在混合矩阵为非奇异的条件下进行。

The watermarking information is embedded into the singular matrix of the cover image in the wavelet domain.

在小波域将灰度水印信息嵌入到原始图像的奇异对角阵中。

The approach did not involve the inverse matrix operation and division operation of matrix, and was not restricted by the condition of a_ ( ii)≠ 0. The high accuracy solution of a singular matrix was also obtained.

该算法不涉及矩阵的逆运算和除法运算，不受条件aii≠0的限制，对于严重病态的线性系统也能得到高精度解。

It is seen that [ H] in the BEM equation is a singular matrix. Hence the solution of Neumann problem has an undetermined constant, it is known to be reference potential.

研究表明，边界元方程中[H]矩阵是奇异的，所以Neumann问题的解有个待定常数，这就是通常所谓电位参考点问题。

The Application of Singular Value of Matrix in Targets Recognition

奇异值特征在目标识别中的应用

Necessary cycle detection is added to avoid the singular matrix appearing after gross error compensation,. Simulation results verify the effectiveness of modified algorithm.

通过加入必要的回路检测，避免了幅度补偿后矩阵奇异性的产生，仿真结果表明了改进算法的有效性。

In this paper, some majorization inequalities of vector kronecker products are established by stochastic matrix, which are used to obtain other majorization inequalities about eigenvalue and singular of matrix kronecker products.

本文利用随机矩阵证明了向量Kronecker积的一些控制不等式，并用其得到关于矩阵Kronecker积的特征值、奇异值的一些控制不等式。

The optimal portfolio selection of singular covariance matrix

奇异协方差矩阵的最优投资组合选择

Precise integration method for singular Hamilton matrix

奇异Hamilton系统矩阵的精细积分法

The structure character of system transfer matrices can be used to solve a class of singular H ∞ control problem and a reduced order H ∞ controller can be constructed in explicit form either by linear matrix inequations method or two algebra Riccati equation method.

一类奇异H∞控制问题可以利用系统矩阵的结构特征通过线性矩阵不等式或2代数黎卡提方程方法直接显式构造得到降阶控制器。

Using Matrix Singular Value Decomposition Method to Revise a Paragraph's Keyword Vectors

矩阵单值分解与段落关键词向量的修正

Solution for the Vibration of Multi stage Rotor System with Singular Stiffness Matrix

刚度阵奇异的多平行轴转子系统振动的求解

This approach uses a group of the least linearly independent vectors to express array accesses 'subscripts, and then constructs a non-singular loop transformation matrix to optimize array accesses' temporal locality and spatial locality.

该方法利用一组最少的线性无关向量组来线性表出数组访问的下标表达式，并据此构造非奇异变换矩阵来优化数组访问的时间局部性和空间局部性。

Frontier Portfolio and No-arbitrage Analysis with Singular Covariance Matrix

奇异协方差阵下前沿组合及无套利分析

The means to find out M-in a singular matrix and the occasions suitable to the regression were suggested.

介绍了广义逆M-回归的统计学原理和基本特征；提出了在奇异矩阵M中找出M-的方法以及适合M-回归的场合。

Damped least-squares method can work successfully at a relatively poor initial value, and it can overcome the recurrence difficulty caused by the singular coefficient matrix.

阻尼最小二乘法在较差的初值条件下能有效运行，并能克服系数矩阵奇异时的迭代困难。

Solving the 3D eddy current field problem with the edge finite element method in terms of the non-gauged variable results in a singular matrix equation.

应用棱单元法的三维涡流场问题中，若不对未知量进行规范，将得到奇异方程组。

Firstly, the transmitter determines the proper time interval d according to the coherence time of the wireless channels. Then several signal vectors with an interval of d are combined together by a singular matrix, and the result vectors are transmitted at the corresponding time slots.

在该方案中，发射机根据信道相干时间确定合适的时隙间隔d，并利用奇异矩阵对多个相距d个时隙的信号矢量进行线性组合，从而得到系统在对应时隙的发射信号。

This paper prores the complex singular square matrix T which is tux power zero matrices product A and B, moreover matrices A, band T hare the same rank except 22 rank I power zero matrix T.

证明了复奇异方阵T是两个幂零矩阵A和B的乘积，且除T是一个秩为1的2×2阶幂零矩阵外有A、B、T的秩相同。

Finally, according to the human eye sensitivity to the type of R, G, B three color components, the watermark information is embedded proportionally singular value matrix of the three components, improve the imperceptibility of the algorithm.

最后根据人眼对R、G、B三个颜色分量敏感度不同，将水印信息有比例地嵌入到三个分量的奇异值矩阵中，提高了算法的不可感知性。

This paper investigates the smallest singular value of matrices, the spectral radius of the iterative matrix, the minimal eigenvalue of irreducible M-matrices and some spectral properties of tensor product of matrices.

本文主要研究了矩阵最小奇异值，迭代矩阵的谱半径，不可约M矩阵的最小特征值以及矩阵张量积的一些谱性质。

Study on Decision-making Model for Portfolio Investment under Non-negative Definite Covariance Matrix Feasible Sets of Portfolios with Singular Covariance Matrix

非负定方差阵下的证券组合投资决策模型研究

Decoupled Control Algorithm of Being in the Condition of Singular Decoupled Matrix D 0

可解耦性矩阵D0奇异时的解耦控制算法

A unified Variance components estimation in the Gauss-Markov model with a singular covariance matrix of observations and singular design matrix is discussed in this paper.

本文提出了一种适用于协方差阵奇异或非奇异、设计阵列满秩或降秩时的方差分量估计方法；