Unitary automorphisms of the space of \((T+H)\)-matrices of order four

DOI10.3103/S0278641915030024zbMath1334.15070OpenAlexW2234612626MaRDI QIDQ268917

A. K. Abdikalykov, Khakim D. Ikramov, Vadim N. Chugunov

Publication date: 18 April 2016

Published in: Moscow University Computational Mathematics and Cybernetics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s0278641915030024

zbMATH Keywords

Toeplitz matrixcharacteristic polynomialHankel matrixunitary similarity\((T+H)\)-matrix

Mathematics Subject Classification ID

Toeplitz, Cauchy, and related matrices (15B05)

Cites Work

• Unitary automorphisms of the space of Toeplitz matrices
• Unitary similarity automorphisms of the space of \(3 \times 3\) Toeplitz-plus-Hankel matrices
• Unitary automorphisms of the space of Hankel matrices
• Centrosymmetric property of unitary matrices that preserve the set of \((T+H)\)-matrices under similarity transformations