Results 21 to 30 of about 341,424 (240)
Norm and Numerical Radius Inequalities for a Product of Two Linear Operators in Hilbert Spaces [PDF]
, 2006 The main aim of the present paper is to establish some norm and numerical radius inequalities for the composite operator BA under suitable assumptions for the transform Cα ,β (T) := (T∗ −α I)(β I−T) , where α ,β ∈ C and T ∈ B(H), of the operators ...
S. S. Dragomir +2 more
core +2 more sources
On the dynamics of sup-norm non-expansive maps [PDF]
, 2005 We present several results for the periods of periodic points of sup-norm non-expansive maps. In particular, we show that the period of each periodic point of a sup-norm non-expansive map $f\colon M\to M$, where $M\subset \mathbb{R}^n$, is at most ...
Lemmens, Bas +3 more
core +1 more source
Frobenius-Rieffel norms on finite-dimensional C*-algebras
Operators and Matrices, 2022 In 2014, Rieffel introduced norms on certain unital C*-algebras built from conditional expectations onto unital C*-subalgebras. We begin by showing that these norms generalize the Frobenius norm, and we provide explicit formulas for certain conditional expectations onto unital C*-subalgebras of finite-dimensional C*-algebras.
Aguilar, Konrad +2 more
openaire +3 more sources
Commutators with maximal Frobenius norm
Linear Algebra and its Applications, 2010 Let \(X\) and \(Y\) be real or complex \(n\times n\) matrices, and let \(\|.\|_F\) denote the Frobenius norm. The inequality \[ \|XY-YX\|_F\leq\sqrt{2}\|X\|_F\|Y\|_F\tag{1} \] conjectured for real matrices by \textit{A.~Böttcher} and \textit{D.~Wenzel}~[Linear Algebra Appl.~403, 216--228 (2005; Zbl 1077.15020)], was proved for real matrices by \textit ...
Cheng, Che-Man +2 more
openaire +2 more sources
Vector Inequalities for Powers of Some Operators in Hilbert Spaces [PDF]
, 2008 Vector inequalities for powers of some operators in Hilbert spaces with applications for operator norm, numerical radius, commutators and self-commutators are ...
Dragomir, Sever S
core +6 more sources
An Iterative Algorithm for the Reflexive Solution of the General Coupled Matrix Equations
The Scientific World Journal, 2013 The general coupled matrix equations (including the generalized coupled Sylvester matrix equations as special cases) have numerous applications in control and system theory.
Zhongli Zhou, Guangxin Huang
doaj +1 more source
Mathematics, 2022 This article studies the estimation of the precision matrix of a high-dimensional Gaussian network. We investigate the graphical selector operator with shrinkage, GSOS for short, to maximize a penalized likelihood function where the elastic net-type ...
Azam Kheyri +2 more
doaj +1 more source
Noncoherent unitary space-time design base on Grassmann manifold
Tongxin xuebao, 2013 A novel search technique was presented for designing noncoherent unitary space-time constellation.First of all,a unitary matrix framework based on Grassmann manifold was defined.Under the constraint of this framework,a dis-tance threshold was set by ...
Da-wei FU +3 more
doaj +2 more sources
The nearest graph Laplacian in Frobenius norm
Numerical Linear Algebra with ApplicationsAbstractWe address the problem of finding the nearest graph Laplacian to a given matrix, with the distance measured using the Frobenius norm. Specifically, for the directed graph Laplacian, we propose two novel algorithms by reformulating the problem as convex quadratic optimization problems with a special structure: one based on the active set method ...
Kazuhiro Sato, Masato Suzuki
openaire +3 more sources
Stochastic Estimation of the Frobenius Norm in the ACA Convergence Criterion [PDF]
IEEE Transactions on Antennas and Propagation, 2015 The adaptive cross approximation (ACA) algorithm has been used in many fast Integral Equation solvers for electromagnetic Radiation and Scattering problems. It efficiently computes a low rank approximation to the interaction matrix between mutually distant parts of a scattering object.
Heldring, Alexander +2 more
openaire +3 more sources