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...
An elementary proof of a formula for the 2-norm distance from a normal matrix A to the set of matrices with a multiple zero eigenvalue is given. Earlier, the authors obtained this formula as an implication of a nontrivial result due to A. N. Malyshev. Bibliography: 4 titles....
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…
I know that the space of linear functionalsL(R2)L(R2)is isomorphic toR2R2. But what is be "isomorphic with the norm"? Do I have to show a function which preserves the norm? Another question I have is: How to represent a function inL(R2)L(R2)with a matr...
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...
The class of Nekrasov matrices is one of important subclass of H-matrices,it plays a key role in the research of matrix analysis and numerical algebra.We study bounds of the infinity norm of the inverse of Nekrasov matrices and obtain two new upper bounds which contain a parameter ε.Numerica...
Suppose a vector in {eq}\mathbb R^3 {/eq} is given by {eq}\mathbf v = \langle v_1, v_2, v_3 \rangle {/eq}. Then, the norm of {eq}\mathbf v {/eq}, {eq}|\mathbf v| {/eq} is calculated by using a formula,
The logarithmic matrix norm with respect to l2 matrix norm will be used to investigate mean square stability for a class of second-order weak schemes when ... MI Abukhaled - 《Applied Numerical Analysis & Computational Mathematics》 被引量: 3发表: 2004年 加载更多来源...
The result of the expression below (u + v) cdot (v x W) is A. A vector in R3 B. A scalar C. Undefined D. A 3 x 3 matrix E. A point Find the l_2 and l_ {\infty} norms of the vector x=(3,-4,0, 3/2)^t. (a) Find the norm ...