The quaternion matrix singular value perturbation theorem is generalized and these results are also new one for complex matrix.
本文对四元数体上矩阵奇异值摄动定理给出了推广，且这些结果对复矩阵也是新的。
This paper introduces a typical SNR estimation algorithm by the use of autocorrelation matrix singular value decomposition method.
主要介绍了一种典型的信噪比估计算法，并对信噪比的自相关矩阵奇异值分解估计法进行了研究。
Singular value is a good characteristic of matrix.
奇异值是矩阵的一个良好特征。
A robust stability boundary of uncertain singular systems is proposed by utilizing singular value decomposition and the character of mode matrix.
并利用奇异值分解方法和模矩阵的性质，给出了使不确定广义系统鲁棒稳定的一个鲁棒界。
In training phase, singular value vector of a lot of face image information matrix from face image sets constitutes face image sets characteristic matrix as a column.
在训练阶段，从人脸图像集中选取大量人脸图像的信息矩阵的奇异值向量作为矩阵中的一列而构成的人脸图像集特征矩阵。
The proposed method uses the maximum singular value of an cumulant matrix to distinguish between voiced parts of the speech signal and noise.
提出一种采用累积量矩阵的最大奇异值来实现语音端点检测的方法，并引入一种自适应的实现方法。
Apply singular value decomposition and generalize inverse of the matrix to discuss the existence and uniqueness of the solution of the standard linear programming problem.
用矩阵的奇异值分解和广义逆讨论标准线性规划问题解的存在性和唯一性问题。
The minimum singular value of the power flow Jacobin matrix can be used to evaluate the voltage stability margin.
潮流雅可比矩阵最小奇异值可用来评估系统电压稳定裕度。
Singular value is extracted as to feature of cylinder explosive noise signal from Cover Matrix with singular value theory.
利用奇异值理论提取包含矩阵的奇异值作为气缸爆发噪声信号的特征。
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。
By decomposing a matrix into one diagonalizable matrix and two orthogonal matrixes, singular value decomposition has very good properties.
奇异值分解是将一矩阵分解为一个对角矩阵和两个正交矩阵，奇异值分解有着非常好的性质。
It is also observed that all of the available sufficient conditions can be regarded as upper bounds of the structured singular value (SSV) of a related matrix.
发现现有的稳定性充分条件都可以被看作是某个矩阵的结构化奇异值(SSV)的上界。
The new estimation about lower bounds for singular value of matrix was presented, and the error in previous results were revised.
给出了矩阵奇异值下界的新估计，修正了以往结果的失误。
The method of analyzing the observable degree of the state variable has been introduced by means of the singular value decomposition (SVD) of the observable matrix of a dynamic system.
介绍了基于动态系统可观测性矩阵奇异值分解的状态变量可观测度的分析方法。
The Singular Value Decomposition (SVD) method for the equilibrium matrix is developed and a physical explanation is given.
引入了平衡矩阵的奇异值分解（SVD）方法并解释了其力学含义。
By matrix operation, the invariance of image singular value vector about the reducing and enlarging transformation is proved, and this character is applied to the image matching.
通过矩阵运算，证明了奇异值特征矢量在图像做缩放变换时具有不变性，并将这种性质运用于图像匹配。
In this thesis, we choose truncated singular value decomposition to solve the resulting matrix equations, while the regularization parameter of TSVD is determined by the L-curve criterion.
鉴于此，必须采用正则化方法，本文中选用的是截断奇异值分解，其正则化参数用l -曲线准则来确定。
Based on a uranium resource exploration project of sandstone-type uranium deposits in Ordos basin, authors process the aeromagnetic data as 2-D matrix to decompose singular value based on GIS.
结合鄂尔多斯盆地某地区铀资源勘查项目，基于GIS平台把磁测数据作为二维实矩阵进行奇异值分解。
As applications of majorizing inequality of convex function of several variables, some majorizing inequalities of eigenvalue and singular value of matrix are obtained.
作为多元凸函数的控制不等式在矩阵方面的初步应用，获得了矩阵特征值和奇异值的简洁的控制不等式。
The sensitivity matrix was then decomposed by singular value decomposition (SVD) method, and the relationship between the surface geometric errors and the uncertainty parameters was formulated.
采用矩阵的奇异值分解原理，对曲面最佳适配的灵敏度矩阵进行分解，得到不确定度参数与测点随机误差的关系表达式。
A least squares solution via singular value decomposition is used to solve the matrix equation.
本文使用奇异值分解法求解矩阵方程的最小二乘解。
Feature points' 3d coordinates are computed through singular value decomposition of projector matrix, then compute projector matrix by triangulation.
对应特征点的三维重建是根据三角测量的方法计算其投影矩阵，然后用奇异值分解求出特征点的三维齐次坐标。
The least square problem of the convolution result and real seismic data can be considered as the solution of a huge rarefactional matrix equation, which can be solved by singular value decomposition.
然后将其与地震子波褶积，使其求解结果与实际地震数据的最小平方问题归结为求解一大型稀疏矩阵方程，并采用奇异位分解法求解。
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。
The margin is evaluated by the minimum singular value of return deference matrix of system.
研究了一种适于工程实践的多变量稳定裕度法——基于回差矩阵奇异值的稳定裕度分析法。
Chaos map and singular value decomposition of matrix technology are introduced to improve the watermarking imperceptibility, security and robustness of watermark image.
利用混沌映射结合矩阵奇异分解，将水印信息分散在原始图像的不同位置，提高了水印的视觉效果，保证了水印的安全性。
In this paper, some inequalities about singular values of normal matrices are established by the properties of compound matrix and the relation between eigenvalue and singular value of matrix.
本文讨论了一般正定复矩阵的两个性质，给出了正定复矩阵特征值的界，并给出了正定复矩阵行列式的模满足的一个不等式。
In this paper, some inequalities about singular values of normal matrices are established by the properties of compound matrix and the relation between eigenvalue and singular value of matrix.
本文讨论了一般正定复矩阵的两个性质，给出了正定复矩阵特征值的界，并给出了正定复矩阵行列式的模满足的一个不等式。
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