Factorizable matrices

Miroslav Fiedler; Frank J. Hall

Special Matrices (2013)

  • Volume: 1, page 3-9
  • ISSN: 2300-7451

Abstract

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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.

How to cite

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Miroslav Fiedler, and Frank J. Hall. "Factorizable matrices." Special Matrices 1 (2013): 3-9. <http://eudml.org/doc/267260>.

@article{MiroslavFiedler2013,
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.},
author = {Miroslav Fiedler, Frank J. Hall},
journal = {Special Matrices},
keywords = {Generator; F-matrix; generalized complementary basic matrix; generator},
language = {eng},
pages = {3-9},
title = {Factorizable matrices},
url = {http://eudml.org/doc/267260},
volume = {1},
year = {2013},
}

TY - JOUR
AU - Miroslav Fiedler
AU - Frank J. Hall
TI - Factorizable matrices
JO - Special Matrices
PY - 2013
VL - 1
SP - 3
EP - 9
AB - 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.
LA - eng
KW - Generator; F-matrix; generalized complementary basic matrix; generator
UR - http://eudml.org/doc/267260
ER -

References

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  1. [1] M. Fiedler, A note on companion matrices, Linear Algebra Appl. 372 (2003), 325–331. Zbl1031.15014
  2. [2] M. Fiedler, Complementary basic matrices, Linear Algebra Appl. 384 (2004), 199–206. Zbl1059.15026
  3. [3] M. Fiedler, Intrinsic products and factorizations of matrices, Linear Algebra Appl. 428 (2008), 5–13. [WoS] Zbl1135.15009
  4. [4] M. Fiedler and F. J. Hall, Some inheritance properties for complementary basic matrices, Linear Algebra Appl. 433 (2010), 2060–2069. [WoS] Zbl1254.15020
  5. [5] M. Fiedler and F. J. Hall, G-matrices, Linear Algebra Appl. 436 (2012), 731–741. 
  6. [6] M. Fiedler and F. J. Hall, A note on permanents and generalized complementary basic matrices, Linear Algebra Appl. 436 (2012), 3553–3569. [WoS] Zbl1241.15005
  7. [7] M. Fiedler and F. J. Hall, Some graph theoretic properties of generalized complementary basic matrices, Linear Algebra Appl. 438 (2013), 3365–3374. [WoS] Zbl1261.05055
  8. [8] M. Fiedler and F. J. Hall, Combinatorial aspects of generalized complementary basic matrices, to appear in Central European Journal of Mathematics. [WoS] 
  9. [9] M. Fiedler, F. J. Hall, and M. Stroev, Permanents, determinants, and generalized complementary basic matrices, to appear in Operators and Matrices. Zbl1314.15007

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