矩阵的 2 - 范数(2-norm of a matrix) 向量u∈Rnu∈Rn 的2 范数,即其欧式空间长度为: ∥u∥2=uTu.‖u‖2=uTu. 矩阵H∈Rm×nH∈Rm×n 的2 - 范数相应为: ∥H∥2=max∥u∥2=1∥Hu∥2.‖H‖2=max‖u‖2=1‖Hu‖2. 这个东西可以被证明是矩阵 HTHHTH 的最大特征值的平方根,即 HH 的最...
Uh- lig, "A best upper bound for the 2-norm condition number of a matrix," Linear algebra and its applications, vol. 254, no. 1, pp. 355-365, 1997.Merikoski J K, Urpala U, Virtanen A, et al. A best upper bound for the 2-norm condition number of a matrix [ J ]. Linear ...
Estimate 2-Norm and Return Number of Power Iterations Create a 7-by-7 matrix. S = gallery('clement',7,7) S =7×70 2.4495 0 0 0 0 0 2.4495 0 3.1623 0 0 0 0 0 3.1623 0 3.4641 0 0 0 0 0 3.4641 0 3.4641 0 0 0 0 0 3.4641 0 3.1623 0 0 0 0 0 3.1623 0 2.4495 0 0 ...
Estimate an upper bound for the 2-norm condition number of a low rank, real-valued matrix with additive noise. Define a real matrixAwith additive noise. m = 300; n = 10; rankA = 3; A = fixed.example.realRandomLowRankMatrix(m,n,rankA); noiseStandardDeviation = sqrt(10^(-50/10))...
A Matrix Lsqr Iterative Method To Solve Matrix Equation Axb = C 期刊名:A Matrix Lsqr Iterative Method To Solve Matrix Equation Axb = C DOI: 10.1080/00207160802516875 A Generalized Lsqr Algorithm 期刊名:A Generalized Lsqr Algorithm DOI: 10.1002/nla.611 On The Convergence Of The Bl-LSQR ...
C = normxcorr2(template,A) computes the normalized cross-correlation of the matrices template and A. The resulting matrix C contains the correlation coefficients. exampleExamples collapse all Use Cross-Correlation to Find Template in Image Copy Code Copy Command Read two images into the workspace,...
The trace norm of a matrix $rho$ is the sum of the singular values of rho. The singular values are the roots of the eigenvalues of $rho rho\dagger$. The trace norm is a special case p=1 of the class…
Matrix recovery problem concerns the construction of a matrix from incomplete information of its entries. This problem has a wide range of applications such as recommendation systems with incomplete information of users’ ratings or sensor localization problem with partially observed distance matrices (see...
We propose Ky Fan 2-k-norm-based models for the non-convex low-rank matrix recovery problem. A general difference of convex algorithm (DCA) is developed to solve these models. Numerical results show that the proposed models achieve high recoverability rates. ...
In the Hilbert space \\\$L_2(\\\mathcal {O};\\\mathbb {C}^n)\\\$, we consider a matrix elliptic second order differential opera... Suslina,A T. 被引量: 64发表: 2013年 Homogenization of the elliptic Dirichlet problem: Error estimates in the ( L 2 → H 1 )-norm Let \\\$...