Results 191 to 200 of about 581 (209)

Unitarily Invariant Norms and Rearrangement

2019
In the next chapter, we will discuss some operator norm inequalities for matrix monotone functions and also some functions which are functional inverses of matrix monotone functions.
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On the unitarily invariant norms and some related results

Linear and Multilinear Algebra, 1987
A norm N defined on the linear space of n × n complex matrices (denoted by ) is said to be unitarily invariant if for any A in and n × n unitary matrix U. In this note we study the properties of unitarily invariant norms. Using the metric properties of with respect to this kind of norms, we characterize different classes of matrices such as normal ...
Chi-Kwong Li, Nam-Kiu Tsing
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Further unitarily invariant norm inequalities for positive semidefinite matrices

Positivity, 2022
Ahmad Al-Natoor, Fuad Kittaneh, Al-Natoor Ahmad   +2 more
exaly  

A Unitarily Invariant Norm Inequality for Positive Semidefinite Matrices and a Question of Bourin

Results in Mathematics, 2023
Mostafa Hayajneh, Saja Hayajneh, Fuad Kittaneh   +2 more
exaly  

Inequalities for Unitarily Invariant Norms

2018
Tin-Yau Tam, Xuhua Liu
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Singular value and unitarily invariant norm inequalities for sums and products of operators

Advances in Operator Theory, 2021
Zhao Jianguo
exaly  

Unitarily invariant norm inequalities for positive semidefinite matrices

Linear Algebra and Its Applications, 2022
Ahmad Al-Natoor, Fuad Kittaneh
exaly  

Inequalities involving Hadamard products and unitarily invariant norms.

1998
Summary: Let \(M_{n,m}\) be the space of \(n\times m\) complex matrices and \(M_n\equiv M_{n,n}\). For Hermitian matrices \(G,H\in M_n\), \(G\geq H\) means that \(G-H\) is positive semidefinite. Denote by \(A\circ B\) the Hadamard product of matrices \(A\) and \(B\).
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Perturbation bounds for weighted polar decomposition in the weighted unitarily invariant norm

Numerical Linear Algebra With Applications, 2008
Hu Yang, Hanyu Li
exaly  

On the existence of unitarily invariant norm under some conditions

Linear and Multilinear Algebra, 2010
R Alizadeh, G H Esslamzadeh
exaly