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Classification of real pairs of commuting Toeplitz and Hankel matrices
V. N. Chugunov a , Kh. D. Ikramov b a Institute of Numerical Mathematics RAS, 8 Gubkin str., Moscow, 119333, Russia
b Lomonosov Moscow State University, GSP-1 Leninskie gory, Moscow, 119991, Rissia
Abstract:
We give a complete description of the set of matrix pairs such that T is a real Toeplitz matrix, H is a real Hankel matrix, and T H = H T .
Key words:
Toeplitz matrix, Hankel matrix, circulant, skew-circulant, commutativity.
Received: 26.11.2015Revised: 28.03.2016
Citation:
V. N. Chugunov, Kh. D. Ikramov, “Classification of real pairs of commuting Toeplitz and Hankel matrices”, Sib. Zh. Vychisl. Mat. , 19 :4 (2016), 457–467 ; Num. Anal. Appl. , 9 :4 (2016), 359–368
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https://www.mathnet.ru/eng/sjvm630 https://www.mathnet.ru/eng/sjvm/v19/i4/p457
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