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Journal of Applied Mathematics and Computing

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07-11-2015 | Original Research

The explicit inverse of nonsingular conjugate-Toeplitz and conjugate-Hankel matrices

Authors: Zhao-lin Jiang, Jun-xiu Chen

Published in: Journal of Applied Mathematics and Computing | Issue 1-2/2017

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Abstract

In this paper, we consider the conjugate-Toeplitz (CT) and conjugate-Hankel (CH) matrices. It is proved that the inverse of these special matrices can be expressed as the sum of products of lower and upper triangular matrices. Firstly, we get access to the explicit inverse of conjugate-Toeplitz matrix. Secondly, the decomposition of the inverse is obtained. Similarly, the formulae and the decomposition on inverse of conjugate-Hankel are provided. Thirdly, the stability of the inverse formulae of CT and CH matrices are discussed. Finally, examples are provided to verify the feasibility of the algorithms provided in this paper.

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Title: The explicit inverse of nonsingular conjugate-Toeplitz and conjugate-Hankel matrices
Authors: Zhao-lin Jiang
Jun-xiu Chen
Publication date: 07-11-2015
Publisher: Springer Berlin Heidelberg
Published in: Journal of Applied Mathematics and Computing / Issue 1-2/2017
Print ISSN: 1598-5865
Electronic ISSN: 1865-2085
DOI: https://doi.org/10.1007/s12190-015-0954-y

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