singular point of a function 奇异点 singular point of a surface 曲面的奇点 singular generator of a ruled surface 直纹面的奇异母线 characteristics root of a matrix 矩阵特征根,矩阵特征根 相似单词 values n. value的复数形式 1.(商品)价值 2.是非标准,生活准则,价值观 3.值,数值 v.value的第...
Using singular values decomposition of matrix and generalized inverse of matrix, the singular values standard form for linear gen-eralized system has been obtained. 研究了广义线性系统的极点配置问题,利用矩阵的奇异值分解和矩阵的广义逆得到了广义线性系统的奇异值标准形,使得广义线性系统的极点配置问题转变为...
We show that, as $t o 0$, logarithms of singular values of $A(t)$ approach the invariant factors of $A(t)$. This leads us to suggest logarithms of singular values of an $n imes n$ complex matrix as an analogue of the logarithm map on $(\\\mathbb{C}^*)^n$ for the matrix ...
Bounds for the singular values of a matrix involving its sparsity pattern The paper presents new upper and lower bounds for the singular values of rectangularmatrices explicitly involving the matrix sparsity pattern. These bounds... LY Kolotilina - 《Journal of Mathematical Sciences》 被引量: 33发...
关键词:矩阵;奇异值;估计;环路中图分类号:O151.21文献标识码:A文章编号:1671-5489(2006)04-0560-05SomeEstimatesforSingularValuesofaMatrixPANGBo1,WANGShu-yun2,FUYao2(1.DepartmentofMathematics,SchoolofScience,BeihuaUni ersity,Jilin132013,JilinPro ince,China;2.CollegeofMathematics,JilinUni ersity,Changchun...
public static array Lapack::singularValues ( array $a ) Calculate the singular values of the matrix A. 参数 a The matrix to calculate the singular values for 返回值 The singular values 范例 Example #1 Using Lapack::singularValues(): <?php $a = array( array( 7.52, -1.10, -7.95, 1.08 ...
The singular values of a matrix and those of its exponential are related via multiplicative majorization. Matrices giving some equalities in the majorization are characterized. As an application, a scalar inequality for the exponential function is generalized to a matrix-valued inequality and the case...
The singular values and the singular vectors of a matrix A are useful and are the most reliable tools for determining the (numerical) rank and the rank-deficiency of A; finding the orthonormal bases for range and the null space of A; finding the distance of A from another matrix of lower...
As the subject says all, when the singular_values() function run for empty matrices it is giving error.Contributor Author aravindkanna commented on Mar 9, 2016 This is because of the following reason. The singular values of a matrix A are the square roots of the eigen values obtained for...
An upper bound and a lower bound for each singular value of a matrix with nonnegative eigenvalues are derived. These bounds are based upon the matrix spectral decomposition. It is shown that this estimate for each singular value is tighter than a well known one, based upon the condition numbe...