2007•Journal of Huaihai Institute of TechnologyRequires access

New Decomposition Formula for the Inversion of Toeplitz Matrices

Le Jiang

Abstract

In this paper,we conclude that a Toeplitz matrix is invertible if two systems of Toeplitz equations are slovable.The inverse matrix can be denoted as a sum of products of φ-circulant matrices and upper triangular Toeplitz matrices.The stability and operation of the inversion formula for Toeplitz matrices are also considered.

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Available abstract

Key concepts: Toeplitz matrix, Levinson recursion, Invertible matrix, Circulant matrix, Mathematics, Triangular matrix, Inverse, Matrix decomposition