Classifying anti-commuting pairs of Toeplitz and Hankel matrices

DOI10.1134/S1064562417050131zbMath1381.15023OpenAlexW2766262910MaRDI QIDQ679974

Vadim N. Chugunov, Khakim D. Ikramov

Publication date: 22 January 2018

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562417050131

zbMATH Keywords

Toeplitz matrixHankel matrixanti-commuting pairscommutivity

Mathematics Subject Classification ID

Commutativity of matrices (15A27) Toeplitz, Cauchy, and related matrices (15B05)

Related Items

On pairs of symmetric Toeplitz matrices whose squares are identical, On a particular solution of the \(\sigma \)-commutation problem \(( \sigma \ne 0, \pm 1)\) for Toeplitz and Hankel matrices

Cites Work

• Permutability of Toeplitz and Hankel matrices
• A complete solution of the normal Hankel problem
• A contribution to the normal Hankel problem
• On the reduction of the normal Hankel problem to two particular cases
• A criterion for the normality of a complex Toeplitz matrix
• Classification of normal Toeplitz matrices with real entries
• Commutation conditions for Hankel matrices
• Classification of real pairs of commuting Toeplitz and Hankel matrices
• On two particular cases of solving the normal Hankel problem