A new bound for the spectral radius of Brualdi-Li matrices

• Autorzy: Xiaogen Chen
• Języki publikacji: EN

Abstrakty

EN

Let B2m denote the Brualdi-Li matrix of order 2m, and let ρ2m = ρ(B2m ) denote the spectral radius of the Brualdi-Li Matrix. Then [...] . where m > 2, e = 2.71828 · · · , [...] and [...] .

Słowa kluczowe

EN

Brualdi-Li Matrix; Spectral Radius; Tournament Matrix

Kategorie tematyczne

• 05C20: Directed graphs (digraphs), tournaments

• Wydawca: De Gruyter Open
• Czasopismo: Special Matrices
• Rocznik: 2015
• Tom: 3
• Numer: 1

Daty

otrzymano

2015-03-26

zaakceptowano

2015-05-25

online

2015-06-02

Twórcy

autor

Xiaogen Chen

• School of Information Science and Technology , Lingnan Normal University, Zhanjiang Guangdong China
  (524048)

Bibliografia

• [1] S. Friedland, Eigenvalues of almost skew-symmetricmatrices and tournamentmatrices, in Combinatorial and Graph Theoretic Problems in Linear Algebra, IMA Vol. Math. Appl. 50(R.A. Brauldi, S. Friedland, and V. Klee, Eds.), Springer-Verlag, New York, (1993), 189–206.
• [2] R.A. Brualdi and Q. Li, Problem 31, Discrete Math.43 (1983), 1133–1135.
• [3] S.W. Drury, Solution of the Conjecture of Brualdi and Li, Linear Algebra Appl. 436 (2012), 3392–3399. [WoS]
• [4] S. Kirkland, A note on the sequence of Brualdi-Li matrices, Linear Algebra Appl. 248 (1996), 233–240.
• [5] X. Chen, A note the bound of spectral radius for Brualdi-Li matrices, Int. J. Appl. Math. Stat. 42 (2013), 491–498.
• [6] S. Kirkland, A note on perron vectors for almost regular tournament matrices, Linear Algebra Appl. 266 (1997), 43–47.
• [7] S. Kirkland, Hypertournament matrices, score vectors and eigenvalues, Linear Multilinear Algebra 30 (1991), 261–274. [WoS]
• [8] S. Kirkland, An upper bound on the Perron value of an almost regular tournament matrix, Linear Algebra Appl. 361 (2003), 7–22.

Identyfikatory

DOI

10.1515/spma-2015-0011