A new characterization of generalized complementary basic matrices

• Autorzy: Miroslav Fiedler , Frank J. Hall
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

CB-matrix; structure rank

Kategorie tematyczne

• 15A15: Determinants, permanents, other special matrix functions

• Wydawca: De Gruyter Open
• Czasopismo: Special Matrices
• Rocznik: 2014
• Tom: 2
• Numer: 1

Daty

otrzymano

2014-07-07

zaakceptowano

2014-07-25

online

2014-10-01

Twórcy

autor

Miroslav Fiedler

• Academy of Sciences of the Czech Republic, Inst. of Computer Science, Pod vodárenskou veží 2, 182 07 Praha
  8, Czech Republic

autor

Frank J. Hall

• Department of Mathematics and Statistics, Georgia State University, Atlanta, GA 30303, USA

Bibliografia

• [1] M. Fiedler, Structure ranks of matrices, Linear Algebra Appl. 179 (1993), 119–128.
• [2] M. Fiedler, Complementary basic matrices, Linear Algebra Appl. 384 (2004), 199–206.
• [3] M. Fiedler and F. J. Hall, G-matrices, Linear Algebra Appl. 436 (2012), 731–741.
• [4] M. Fiedler and F. J. Hall, A note on permanents and generalized complementary basic matrices, Linear Algebra Appl. 436 (2012), 3553–3569. [WoS]
• [5] M. Fiedler and F. J. Hall, Some graph theoretic properties of generalized complementary basic matrices, Linear Algebra Appl. 438 (2013), 3365–3374. [WoS]
• [6] M. Fiedler and F. J. Hall, Factorizable matrices, Special Matrices. 1 (2013), 3–9.

Identyfikatory

DOI

10.2478/spma-2014-0013