Some results concerning block Toeplitz matrices

Muhammad Ahsan Khan · Research Square · 2022

Abstract Given A,B,C, and D, block Toeplitz matrices, we will prove the necessary and sufficient condition for AB − CD = 0, and AB − CD to be a block Toeplitz matrix. In addition, with respect to change of basis, the characterization of normal block Toeplitz matrices with entries from the algebra of diagonal matrices is also obtained.

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