Generalized inversion of block Toeplitz matrices

被引：19

作者：

Adukov, VM ^{[1
]}

机构：

[1] Chelyabinsk Tech Univ, Dept Math Anal, Chelyabinsk, Russia

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 1998年 / 274卷

关键词：

D O I：

10.1016/S0024-3795(97)00304-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

An analog of a Wiener-Hopf factorization method is proposed for finite block Toeplitz matrices. For an arbitrary rational matrix polynomial, notions of essential indices and polynomials are introduced. A connection between these notions and a Wiener-Hopf factorization of some block triangular matrix functions is studied. A formula for a generalized (one-sided, two-sided) inversion of a block Toeplitz matrix is found in terms of indices and essential polynomials of its symbol. Well-known inversion formulas are obtained as special cases of this formula. (C) 1998 Elsevier Science Inc.

引用

页码：85 / 124

页数：40

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