Factorizable matrices

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

Abstrakty

EN

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.

Słowa kluczowe

EN

Generator; F-matrix; generalized complementary basic matrix

Kategorie tematyczne

• 15A23: Factorization of matrices

• Wydawca: De Gruyter Open
• Czasopismo: Special Matrices
• Rocznik: 2013
• Tom: 1
• Strony: 3-9

Daty

otrzymano

2013-08-07

zaakceptowano

2013-08-08

online

2013-10-02

Twórcy

autor

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

autor

Frank J. Hall

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

Bibliografia

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

Identyfikatory

DOI

10.2478/spma-2013-0002