A complete solution of the normal Hankel problem

DOI10.1016/J.LAA.2010.01.021zbMath1194.15027OpenAlexW2094100663MaRDI QIDQ968993

Vadim N. Chugunov, Khakim D. Ikramov

Publication date: 11 May 2010

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2010.01.021

zbMATH Keywords

Toeplitz matrixHankel matrixnormal matrixcirculantbackward identity

Mathematics Subject Classification ID

Canonical forms, reductions, classification (15A21) Toeplitz, Cauchy, and related matrices (15B05)

Related Items (2)

Classifying pairs of commuting Toeplitz and Hankel matrices ⋮ Classifying anti-commuting pairs of Toeplitz and Hankel matrices

Cites Work

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• On a new class of normal Hankel matrices
• On normal Hankel matrices of low orders
• A contribution to the normal Hankel problem
• On the reduction of the normal Hankel problem to two particular cases
• On the skew-symmetric part of the product of Toeplitz matrices
• A normality criterion for Toeplitz matrices
• A criterion for the normality of a complex Toeplitz matrix
• Classifying normal Hankel matrices
• Describing normal Toeplitz matrices
• Classification of normal Toeplitz matrices with real entries
• On two particular cases of solving the normal Hankel problem
• Commutation Relations for Toeplitz and Hankel Matrices
• A simple proof of the classification of normal Toeplitz matrices
• Every Normal Toeplitz Matrix is Either of Type I or of Type II
• Normal Toeplitz Matrices

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