张量积T+H-Bezoutian及其矩阵表示

Tensor Toeplitz Plus Hankel Bezoutian and Its Matrix Representations

摘要: 介绍张量积T+H-Bezoutian和一个变换的定义,给出张量积T+H-Bezoutian的矩阵表示方法,讨论如何通过矩阵基本方程来确定矩阵生成函数的多项式,得到了一个阶为(n-2)m r×(n+2)m r的矩阵与矩阵基本方程有着密切的关系,最后对具有特殊形状的T+H矩阵的逆的生成函数的表达形式做了简单的描述.

Abstract: The definitions of Tensor Toeplitz plus Hankel Bezoutians and a transformation are introduced,then the matrix representation of Tensor Toeplitz plus Hankel Bezoutians is given.Furthermore the method to determine the polynomials of marix generating function through the fundamental equation is discussed and a close relation between the(n-2)mr×(n+2)mr matrix and fundamental equation is obtained.Finally,the expression of generating functions for the inverse of special T+H matrix is simply described.更多还原