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Special Matrices

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Factorizable matrices

Miroslav Fiedler
  • Academy of Sciences of the Czech Republic, Inst. of Mathematics, Žitná 25 115 67 Praha 1
  • Inst. of Computer Science, Pod vodárenskou vˇeží 2, 182 07 Praha 8, Czech Republic
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  • Other articles by this author:
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/ Frank J. Hall
Published Online: 2013-10-02 | DOI: https://doi.org/10.2478/spma-2013-0002

Abstract

We study square matrices which are products of simpler factors with the property that any ordering of the factors yields a matrix cospectral with the given matrix. The results generalize those obtained previously by the authors.

Keywords: Generator; F-matrix; generalized complementary basic matrix

MSC: 15A23; 15A57; 15A48

  • [1] M. Fiedler, A note on companion matrices, Linear Algebra Appl. 372 (2003), 325–331. Google Scholar

  • [2] M. Fiedler, Complementary basic matrices, Linear Algebra Appl. 384 (2004), 199–206. Google Scholar

  • [3] M. Fiedler, Intrinsic products and factorizations of matrices, Linear Algebra Appl. 428 (2008), 5–13. Web of ScienceGoogle Scholar

  • [4] M. Fiedler and F. J. Hall, Some inheritance properties for complementary basic matrices, Linear Algebra Appl. 433 (2010), 2060–2069. Web of ScienceGoogle Scholar

  • [5] M. Fiedler and F. J. Hall, G-matrices, Linear Algebra Appl. 436 (2012), 731–741. Google Scholar

  • [6] M. Fiedler and F. J. Hall, A note on permanents and generalized complementary basic matrices, Linear Algebra Appl. 436 (2012), 3553–3569. Web of ScienceGoogle Scholar

  • [7] M. Fiedler and F. J. Hall, Some graph theoretic properties of generalized complementary basic matrices, Linear Algebra Appl. 438 (2013), 3365–3374. Web of ScienceGoogle Scholar

  • [8] M. Fiedler and F. J. Hall, Combinatorial aspects of generalized complementary basic matrices, to appear in Central European Journal of Mathematics. Web of ScienceGoogle Scholar

  • [9] M. Fiedler, F. J. Hall, and M. Stroev, Permanents, determinants, and generalized complementary basic matrices, to appear in Operators and Matrices. Google Scholar

About the article


Received: 2013-08-07

Accepted: 2013-08-08

Published Online: 2013-10-02


Citation Information: Special Matrices, Volume 1, Pages 3–9, ISSN (Online) 2300-7451, DOI: https://doi.org/10.2478/spma-2013-0002.

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©2013 Versita Sp. z o.o.. This content is open access.

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