Classification of real pairs of commuting Toeplitz and Hankel matrices
V. N. Chugunov1, Kh. D. Ikramov2
1Institute of Numerical Mathematics, Russian Academy of Sciences, Gubkina st., 8, Moscow, 119991, Russia
2Lomonosov Moscow State University, Faculty of Computational Mathematics and Cybernetics, Leninskie Gory, Moscow, 119899, Russia
Keywords: теплицева матрица, ганкелева матрица, циркулянт, косой циркулянт, перестановочность, Toeplitz matrix, Hankel matrix, circulant, skew-circulant, commutativity
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 TH = HT.
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