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 的最大奇异值...
Malyshev, A.N.: A formula for the 2-norm distance from a matrix to the set of matrices with multiple eigenvalues. Numer. Math. 83, 443-454 (1999)A. N. Malyshev. A formula for the 2-norm distance from a matrix to the set of matrices with multiple eigenvalues. Numer. Math. 83(3...
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…
The norm ‖A‖ = {tr(A′A)}12 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 2m factorial design of resolution 2l + 1 which obtained from a simple array ...
Here, the bounds of a matrix norm of a rectangular matrix are given. This matrix norm is wider than the p-matrix norm (1≤p≤+∞). We have ?? In addition, the necessary and sufficient eonditions for ‖A‖_p‖A~(-1)‖_p=1(1≤p≤+∞) are obtained, and the necessary and suff...
Synchronization in time-varying networks: A matrix measure approach Synchronization in complex networks has attracted lots of interest in various fields. We consider synchronization in time-varying networks, in which the we... Chen,Maoyin - 《Physical Review E Statistical Nonlinear & Soft Matter Phys...
Antibody NORM-2 also inhibited the growth of SV40-transformed 3T3 cells in agar and caused them to deposit more fibronectin into extracellular matrix. These antibodies thus seem to induce a more normal behavior of tumor cells in vitro. In vivo both antibodies reduced the number of growing lung ...
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...
a不乖,不老实打你屁屁啊,叫你不听话。猪 Is not clever, hits your fart fart not honestly, is called you not to be obedient.Pig[translate] ais the pth raw of matrix and is norm two of vector . Eq. (15) shows that the noise power at the kth subcarrier of the pth layer is proportio...
A widely-used estimator is the Graphical Lasso (GLASSO), which amounts to a maximum likelihood estimation regularized using the $L_{1,1}$ matrix norm on the precision matrix $\Omega$. The $L_{1,1}$ norm is a lasso penalty that controls for sparsity, or the number of zeros in $\...