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

Results in Mathematics, 2023
Fuad Kittaneh   +2 more
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 \(B\).
openaire   +2 more sources

On the existence of unitarily invariant norm under some conditions

Linear and Multilinear Algebra, 2010
R Alizadeh
exaly  

Perturbation bounds for weighted polar decomposition in the weighted unitarily invariant norm

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

Unitarily invariant norm inequalities for some means

Journal of Inequalities and Applications, 2014
Shigeru Furuichi
exaly  

Unitarily Invariant Norms and Inequalities

Airat M. Bikchentaev   +3 more
openaire   +1 more source

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