By using the method of matrix singular values decomposition, the general expressions of the least squares solutions are given.
利用矩阵的奇异值分解和矩阵分块方法，得到了最小二乘解的一般表达式。
The Euclidean distance of singular values is used as the measurement of similarity between two gray charts, realizing fault diagnosis.
应用奇异值欧氏距离作为两幅图像相似程度的度量尺度从而实现轴承的故障诊断。
Any image can be considered as a matrix. Singular values (SV) of the matrix have some important properties adaptable to image recognition.
每一幅图像都可以认为是一个矩阵，而矩阵的奇异值具有很多适合图像识别的特征。
Secondly, construct an interval in such a way that all the singular values are contained in each interval, and this interval is a decreasing sequence.
其次用一种新方法建立了一个区间，以至于矩阵的所有奇异值包含在每一个区间内，并且这个区间是一个递减序列。
Necessary and sufficient conditions for the robust stability of feedback systems are derived in terms of the principles of the structured singular values.
利用结构奇异值的概念和方法，给出了闭环系统鲁棒稳定性的充要条件。
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。
In the study of time series forecasting in ground states, the method for recognition and processing singular values is proposed, then LS-SVM is applied to forecast.
针对基态趋势客流预测问题，研究了进行奇异值检测处理并运用最小二乘支持向量机进行预测的解决方案。
With the data of characteristic singular values of sub-images, the Local Singular Value Vector of the whole image are combined, and are used as the input of the classifier.
子图像的特征奇异值组成整个图像的局部奇异值向量，作为分类器的输入。
The tampered area of the watermarked image could be reflected in the watermarking difference map and the tampered intensity could be reflected in singular values difference.
认证时通过水印差值定位图像被篡改的位置，通过奇异值差值反映被篡改区域的篡改强度。
Simulation results on ORL face databases indicate that the proposed approach (ESWPCA) can achieve higher recognition accuracy with fewer singular values but without the increase of …
在ORL人脸库上的实验结果表明，该方法在不提高主分量分析复杂度的情况下，采用较少的特征值提高了单训练样本的识别率。
The relationship between the eigenvalue, eigenvector and the rank of the product of matrices AB and BA is discussed, and the factorization of the singular values of matrix a is obtained.
讨论了矩阵乘积ab与BA的特征值、特征向量及秩等的关系，并得到了矩阵的奇异值分解。
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。
It is proved that for sufficiently good subspaces the approximate singular values obtained by the harmonic projection methods converge while the corresponding approximate singular vectors may not.
本文证明了，当投影空间足够好时，该方法得到的近似奇异值收敛，但近似奇异向量可能收敛很慢甚至不收敛。
A computing method of coefficient matrix is given. For a few special points including singular points, the numerical values of solid Angle of a cylindrical bottom surface open to these special points.
对包含奇异点在内的几个特殊点给出了柱底面对这些点所张立体角的值，并给出了电测井积分方程系数矩阵的计算方法。
The singular points are classified as different values of parameters and some results are obtained.
当各参数取不同值时，对奇点进行了细致的分类，得到了一些有意义的结果。
The singular points are classified as different values of parameters and some results are obtained.
当各参数取不同值时，对奇点进行了细致的分类，得到了一些有意义的结果。
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