On the Frobenius norm of commutator of Cauchy-Toeplitz matrix and exchange matrix

DOI10.55730/1300-0098.3447zbMath1525.15016OpenAlexW4385143747MaRDI QIDQ6176529

Mustafa Bahşi, Süleyman Solak

Publication date: 25 July 2023

Published in: Turkish Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.55730/1300-0098.3447

zbMATH Keywords

Frobenius normmatrix commutatorCauchy-Toeplitz matrixexchange matrix

Mathematics Subject Classification ID

Commutativity of matrices (15A27) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Commutators, derivations, elementary operators, etc. (47B47) Commutator calculus (20F12) Toeplitz, Cauchy, and related matrices (15B05)

Cites Work

• Cauchy-Toeplitz matrices and some applications
• Variance bounds, with an application to norm bounds for commutators
• The Frobenius norm and the commutator
• On the spectral norms of Cauchy-Toeplitz and Cauchy-Hankel matrices.
• On the bounds for the norms of Cauchy-Toeplitz and Cauchy-Hankel matrices
• A Spectral Characterization of Generalized Real Symmetric Centrosymmetric and Generalized Real Symmetric Skew-Centrosymmetric Matrices
• Inverse eigenvalue problems for bisymmetric matrices under a central principal submatrix constraint
• On thel_pnorms of cauchy-toelitz matrices