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Journal of Mathematical Sciences

, Volume 224, Issue 6, pp 883–889 | Cite as

The Congruent Centralizer of the Horn–Sergeichuk Matrix

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The paper describes the congruent centralizer of the matrix \( {\Delta}_n=\left(\begin{array}{llll}\hfill & \hfill & \hfill & 1\hfill \\ {}\hfill & \hfill & \dots \hfill & i\hfill \\ {}\hfill & 1\hfill & \dots \hfill & \hfill \\ {}1\hfill & i\hfill & \hfill & \hfill \end{array}\right) \), representing one of three blocks in the Horn–Sergeichuk canonical form, i.e., the set of matrices X such that X Δ n X = Δ n .

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Reference

  1. 1.
    R. A. Horn and C. R. Johnson, Matrix Analysis, Second edition, Cambridge University Press, Cambridge (2013).Google Scholar

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© Springer Science+Business Media, LLC 2017

Authors and Affiliations

  1. 1.Moscow Lomonosov State UniversityMoscowRussia

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