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

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Correspondence to Kh. D. Ikramov.

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Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 453, 2016, pp. 104–113.

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Ikramov, K.D. The Congruent Centralizer of the Horn–Sergeichuk Matrix. J Math Sci 224, 883–889 (2017). https://doi.org/10.1007/s10958-017-3458-5

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  • DOI: https://doi.org/10.1007/s10958-017-3458-5

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