Results 91 to 100 of about 831,773 (152)

Environment-Assisted Shortcuts to Adiabaticity. [PDF]

Entropy (Basel), 2021
Touil A, Deffner S.
europepmc   +1 more source

The separation modulus of unitarily invariant matrix norms

If $X=(M_n(\mathbb{R}),\|\cdot\|)$ is a unitarily invariant normed space on , then we prove (via exact computations for a Jacobi orthogonal random matrix ensemble) that the spectral gap of the Laplacian with Dirichlet boundary conditions on the unit ball $B_X$ of $X$ satisfies $λ(X)\asymp n^3 \|I\|^2$.
Gunes, Mustafa Alper, Naor, Assaf
openaire   +2 more sources

On weakly unitarily invariant norm and the Aluthge transformation

Linear Algebra and its Applications, 2003
The main result: \(|||f(P^\lambda UP^{1-\lambda})|||\leq \max\{|||f(T)|||, |||U^* f(T)U+ f(0)(I- U^* U)|||\}\), where \(T\in B(H)\) is a bounded linear operator on a Hilbert space \(H\), \(f\) is a polynomial, and \(|||\cdot|||\) is a seminorm on \(H\) which satisfies the following two conditions: a) \(\exists\gamma> 0\) such that \(|||X|||\leq \gamma\|
openaire   +2 more sources

Convergence Rates for the Quantum Central Limit Theorem. [PDF]

Commun Math Phys, 2021
Becker S, Datta N, Lami L, Rouzé C.
europepmc   +1 more source

The convex analysis of unitarily invariant matrix functions

, 1995
A fundamental result of von Neumann's identies unitarily invariant matrix norms as symmetric gauge functions of the singular values. Identifying the subdierential of such a norm is important in matrix approximation algorithms, and in studying the ...
A. S. Lewis
core  

Lower bounds for the low-rank matrix approximation. [PDF]

J Inequal Appl, 2017
Li J, Liu Z, Li G.
europepmc   +1 more source

Extensions of interpolation between the arithmetic-geometric mean inequality for matrices. [PDF]

J Inequal Appl, 2017
Bakherad M, Lashkaripour R, Hajmohamadi M.   +2 more
europepmc   +1 more source

A Mirsky-Type Unitarily Invariant Norm Inequality for Dual Quaternion Matrices and Its Applications

In this paper, we present a Mirsky-type unitarily invariant norm inequality for dual quaternion matrices, which can be regarded as a singular value perturbation theorem for dual quaternion matrices.
Ping Zhong, Jin Zhong
core   +1 more source

A note on some inequalities for unitarily invariant norms [PDF]

Journal of Mathematical Inequalities, 2015
Jianm ng Xue, Xing ai Hu
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Chebyshev centers and radii for sets induced by quadratic matrix inequalities. [PDF]

Math Control Signal Syst
Shakouri A, van Waarde HJ, Camlibel MK.
europepmc   +1 more source