Block Toeplitz Matrices: Multiplicative Properties

IF 0.3 Q4 MATHEMATICS

Matematika Pub Date : 2021-03-27 DOI:10.11113/matematika.v39.n1.1437

M. A. Khan

引用次数: 0

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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块Toeplitz矩阵:乘法性质

给定A，B，C和D，块Toeplitz矩阵，我们将证明AB-CD=0和AB-CD是块Toepliz矩阵的充要条件。此外，关于基的变化，还得到了具有对角矩阵代数项的正规块Toeplitz矩阵的特征。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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