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A note on matrix displacement representation

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Abstract

The theory underlying certain representations of a matrix as sum of products of matrices in algebras is here revisited with the aim of reducing it at its very heart. In this way we obtain a simple and general theorem that extends some known results.

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References

  1. C. Di Fiore and P. Zellini,Matrix decompositions using displacement rank and classes of commutative matrix algebras, Linear Algebra Appl.229 (1995), 49–99.

    Google Scholar 

  2. I. Gohberg and V. Olshevsky,Circulants, displacements and decompositions of matrices, Integral Equations and Operator Theory15 (1992), 730–743.

    Google Scholar 

  3. K. Rost,Generalized companion matrices and matrix representations for generalized Bezoutians, Linear Algebra Appl.193 (1993), 151–172.

    Google Scholar 

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Bozzo, E. A note on matrix displacement representation. Integr equ oper theory 29, 368–372 (1997). https://doi.org/10.1007/BF01320708

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  • DOI: https://doi.org/10.1007/BF01320708

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