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...
A best upper bound for the 2-norm condition number of a matrix - MERIKOSKI, URPALA, et al. - 1997J. K. Merikoski, U. Urpala, A. Virtanen, T. Y. Tam, and F. Uhlig, "A best upper bound for the 2-norm condition number of a matrix," Linear Algebra Appl., vol. 254, pp. ...
Low-rank matrix recovery problem is difficult due to its non-convex properties and it is usually solved using convex relaxation approaches. In this paper, we formulate the non-convex low-rank matrix recovery problem exactly using novel Ky Fan 2-k-norm-based models. A general difference of conv...
A must be larger than the matrix template for the normalization to be meaningful. Normalized cross-correlation is an undefined operation in regions where A has zero variance over the full extent of the template. In these regions, normxcorr2 assigns correlation coefficients of zero to the output ...
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…
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. ...
The sparse matrix, A. norm Specify the norm to be computed. Must be one of SPARSE_NORM_ONE, SPARSE_NORM_TWO, SPARSE_NORM_INF, or SPARSE_NORM_R1. See discussion for further details. Return Value The requested norm. Discussion This is the norm of the matrix treated as a ...
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 \\\$...
V/e shall deal with a regular summability method for real sequence, determined by a triangular matrix |<XQ1E/Aq |j (aQjc>0 and A„ = k=0 ank^* *·8 ^ke condition w^—-w implies - 285 - 2 W.Lenski as α oo · The aim of the present paper is to estimate the quantity ...
The norm ja:math of the alias matrix A of a design can be used as a measure for selecting a design. In this paper, an explicit expression for ‖ A ‖ will be given for a balanced fractional 2 m factorial design of resolution 2 l + 1 which obtained from a simple array with paramete...