SPECTRAL PROPERTIES OF BIPARTITE TOURNAMENT MATRICES

  • 발행 : 2001.02.01

초록

In this paper, we look at the spectral bounds of a bipartite tournament matrix M with arbitrary team size. Also we find the condition for the variance of the Perron vector of M to vanish.

참고문헌

  1. Matrix Analysis R.Horn;C.R.Johnson
  2. Topics in Matrix Analysis
  3. biometrics v.11 Further contributions to the theory of pair comparisons M.G.Kendall
  4. Linear and Multilinear Algebra v.35 On multipartite tournament matrices with constant team size S.J.Kirkland;B.L.Shader
  5. Kangweon-Kyungki Mathematical Journal v.7 On bipartite tournament matrices Y.Koh;S.Ree
  6. Linear Algebra and Appl. v.162-164 On tournament matrices B.L.Shader
  7. Ph. D. thesis The algebraic foundations of ranking theory T.H.Wei