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Toeplitz Matrix Inversion: The Algorithm of W. F. Trench

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Published:01 October 1969Publication History
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Abstract

The algorithm of W. F. Trench for the inversion of Toeplitz matrices is presented with a detailed proof for the case of non-Hermitian matrices. The only condition necessary to insure the validity of the algorithm is that all principal minors be nonzero.

References

  1. 1 TRENCH, W.F. An algorithm for the inversion of finite Toeplitz matrices. J. SIAM 12, 3 (Sept. 1964), 515-522.Google ScholarGoogle Scholar

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  1. Toeplitz Matrix Inversion: The Algorithm of W. F. Trench

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        cover image Journal of the ACM
        Journal of the ACM  Volume 16, Issue 4
        Oct. 1969
        132 pages
        ISSN:0004-5411
        EISSN:1557-735X
        DOI:10.1145/321541
        Issue’s Table of Contents

        Copyright © 1969 ACM

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        Association for Computing Machinery

        New York, NY, United States

        Publication History

        • Published: 1 October 1969
        Published in jacm Volume 16, Issue 4

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