A complete solution of the permutability problem for Toeplitz and Hankel matrices

• Published in: Linear algebra and its applications Vol. 478; pp. 53 - 80
• Main Authors: Chugunov, V.N., Ikramov, Kh.D.
• Format: Journal Article
• Language: English
• Published: Elsevier Inc 01.08.2015
• Subjects: Centrosymmetric matrix; Hankel matrix; Involution; Persymmetric matrix; Toeplitz matrix; Hankel matrix; 15B05; Involution; Persymmetric matrix; Toeplitz matrix; Centrosymmetric matrix

Conditions under which two Toeplitz matrices commute are known since at least 1998. For a pair of Hankel matrices, the corresponding commutativity conditions were recently obtained by Gel'fgat. In this paper, we complete our analysis of the much more complex problem of characterizing matrix pai...