On conditions for permutability of Toeplitz and Hankel matrices

On conditions for permutability of Toeplitz and Hankel matrices

The problem of describing pairs of commuting matrices ( T, H ), where T and H are a Toeplitz and a Hankel matrix, respectively, is examined. Several families of such pairs are indicated.

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Veröffentlicht in:Computational mathematics and mathematical physics 2016-03, Vol.56 (3), p.354-357
Hauptverfasser: Ikramov, Kh. D., Chugunov, V. N.
Format: Artikel
Sprache:eng
Schlagworte:
Computation
Computational mathematics
Computational Mathematics and Numerical Analysis
Eigenvalues
Fourier transforms
Hankel matrices
Mathematical analysis
Mathematical models
Mathematics
Mathematics and Statistics
Matrices (mathematics)
Matrix
Matrix methods
Studies
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Zusammenfassung:The problem of describing pairs of commuting matrices ( T, H ), where T and H are a Toeplitz and a Hankel matrix, respectively, is examined. Several families of such pairs are indicated.
ISSN:0965-5425
1555-6662
DOI:10.1134/S0965542516030076