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Published in:
2017 | OriginalPaper | Chapter
Fast Inversion of Centrosymmetric Toeplitz-plus-Hankel Bezoutians
Authors : Torsten Ehrhardt, Karla Rost
Published in: Large Truncated Toeplitz Matrices, Toeplitz Operators, and Related Topics
Publisher: Springer International Publishing
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This paper establishes an algorithm for the computation of the inverse of a nonsingular, centrosymmetric Toeplitz-plus-Hankel Bezoutian B of order n. The algorithm has O(n2) computational complexity. In comparison with a previous paper on this topic the main key here is the reduction to the inversion of two symmetric Toeplitz Bezoutians of order n. This approach leads to a simpler algorithm, but it requires an additional assumption in one case. Furthermore, we obtain an explicit representation of B−1 as a sum of a Toeplitz and a Hankel matrix.