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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 2023 Volume 524, Pages 125–132 (Mi znsl7360)

Absence of solutions to the $\sigma$-commutation problem $(\sigma\ne 0$, $\pm 1)$ for Toeplitz and Hankel matrices in a special class

V. N. Chugunov

Marchuk Institute of Numerical Mathematics of the Russian Academy of Sciences, Moscow

Abstract: It is established that the $\sigma$-commutation problem for Toeplitz and Hankel matrices has no solutions in a particular subset.

Key words and phrases: Toeplitz matrix, Hankel matrix, $\sigma$-commutation.

UDC: 512

Received: 28.08.2023



© Steklov Math. Inst. of RAS, 2024