Then A is orthogonal to B if parallel toA + muBparallel to greater than or equal to parallel toAparallel to for every scalar mu. Some approximation theory and convexity results on matrices are used to study orthogonality of matrices and answer an open problem of Bhatia and Semrl. (C) 2002...
Orthogonality of rows of a given matrixB N Mandal
We obtain a necessary and sufficient condition for a matrix $A$ to be Birkhoff-James orthogonal to any subspace $\mathscr W$ of $\mathbb M_n(\mathbb C)$. Using this we obtain an expression for the distance of $A$ from any unital $C^*$ subalgebra of $\mathbb M_n(\mathbb C)$....
1. Relating to or composed of right angles. 2. Mathematics a. Of or relating to a matrix whose transpose equals its inverse. b. Of or relating to a linear transformation that preserves the length of vectors. 3. Very different or unrelated; sharply divergent: "Radical Islamists are ultimat...
Any orthogonal matrix of size n × n can be constructed as a product of at most n such reflections. 任何n×n正交矩阵都可以构造为最多n次这种反射的积。 WikiMatrix Each CCD device, called an Orthogonal Transfer Array (OTA), has 4800 × 4800 pixels, separated into 64 cells, each of ...
A CRITERION FOR ORTHOGONALITY OF REFINABLE FUNCTIONS 来自 掌桥科研 喜欢 0 阅读量: 41 作者:BiNing,HuangDaren 摘要: In this note, a criterion for orthonormality of refinable functions via characteristic polynomial of a matrix is given 关键词:
a加强沟通 Enhancement communication[translate] anone of them get any exercise 他们都没得到任何锻炼[translate] a洗脸毛巾 Washes the face the towel[translate] aA note on Sobolev orthogonality for Laguerre matrix polynomials 笔记关于Sobolev正交性为Laguerre矩阵多项式[translate]...
A complex square matrix A is called an orthogonal projector if A 2 = A = A*, where A* denotes the conjugate transpose of A. In this paper, we give a compre... Y Tian - 《Central European Journal of Mathematics》 被引量: 6发表: 2010年 Majorana representations of A 5 The Monster ...
Abstract We obtain a necessary and sufficient condition for a matrix A to be Birkhoff–James orthogonal to any subspace W of Mn(C). Using this we obtain an expression for the distance of A from any unital ⁎C⁎-subalgebra of Mn(C)....
Given a square matrix A , we discuss the problem of seeking some constrained matrix C which satisfies (i) A + C = M and (ii) AC = M where M is symmetric, or nearly so. Typical constraints on C include low rank, orthogonality and low-rank departures from a unit matrix. Graphical re...