A new characterization of generalized complementary basic matrices

Miroslav Fiedler; Frank J. Hall

Special Matrices (2014)

  • Volume: 2, Issue: 1, page 125-130, electronic only
  • ISSN: 2300-7451

Abstract

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In this paper, a new characterization of previously studied generalized complementary basic matrices is obtained. It is in terms of ranks and structure ranks of submatrices defined by certain diagonal positions. The results concern both the irreducible and general cases.

How to cite

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Miroslav Fiedler, and Frank J. Hall. "A new characterization of generalized complementary basic matrices." Special Matrices 2.1 (2014): 125-130, electronic only. <http://eudml.org/doc/266535>.

@article{MiroslavFiedler2014,
abstract = {In this paper, a new characterization of previously studied generalized complementary basic matrices is obtained. It is in terms of ranks and structure ranks of submatrices defined by certain diagonal positions. The results concern both the irreducible and general cases.},
author = {Miroslav Fiedler, Frank J. Hall},
journal = {Special Matrices},
keywords = {CB-matrix; structure rank; generalized complementary basic matrices},
language = {eng},
number = {1},
pages = {125-130, electronic only},
title = {A new characterization of generalized complementary basic matrices},
url = {http://eudml.org/doc/266535},
volume = {2},
year = {2014},
}

TY - JOUR
AU - Miroslav Fiedler
AU - Frank J. Hall
TI - A new characterization of generalized complementary basic matrices
JO - Special Matrices
PY - 2014
VL - 2
IS - 1
SP - 125
EP - 130, electronic only
AB - In this paper, a new characterization of previously studied generalized complementary basic matrices is obtained. It is in terms of ranks and structure ranks of submatrices defined by certain diagonal positions. The results concern both the irreducible and general cases.
LA - eng
KW - CB-matrix; structure rank; generalized complementary basic matrices
UR - http://eudml.org/doc/266535
ER -

References

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  1. [1] M. Fiedler, Structure ranks of matrices, Linear Algebra Appl. 179 (1993), 119–128. Zbl0766.15003
  2. [2] M. Fiedler, Complementary basic matrices, Linear Algebra Appl. 384 (2004), 199–206. Zbl1059.15026
  3. [3] M. Fiedler and F. J. Hall, G-matrices, Linear Algebra Appl. 436 (2012), 731–741. 
  4. [4] 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
  5. [5] 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
  6. [6] M. Fiedler and F. J. Hall, Factorizable matrices, Special Matrices. 1 (2013), 3–9. Zbl1291.15033

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