A note on perron vectors for almost regular tournament matrices

Linear Algebra and Its Applications

Volumn 266, Issue 1-3, 1997, Pages 43-47

  Kirkland, Steve ^a  

^a UNIVERSITY OF REGINA   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 21944433355     PISSN: 00243795     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0024-3795(96)00628-3     Document Type: Article

References (8)

1. R. A. Bryce and N. F. Smythe, A note on ranking tournaments, Austral. Math. Soc. Gaz. 7:5-10 (1980).
2. S. Friedland, R. Hemasinha, H. Schneider, J. Stuart, and J. Weaver, Row sums and inverse row sums for nonnegative matrices, SIAM J. Matrix Anal. Appl. 15:1157-1166 (1994).
3. M. G. Kendall, Further contributions to the theory of paired comparisons, Biometrics 11:43-62 (1955).
4. S. Kirkland, Hypertournament matrices, score vectors and eigenvalues, Linear and Multilinear Algebra 30:261-274 (1991).
5. S. Kirkland, Spectral radii of tournament matrices whose graphs are related by an arc reversal, Linear Algebra Appl. 217:179-202 (1995).
6. S. Kirkland, Perron vector bounds for a tournament matrix with applications to a conjecture of Brualdi and Li, Linear Algebra Appl., to appear.
7. C. Ramanujacharyula, Analysis of preferential experiments, Psychometrika 29:257-261 (1964).
8. T. H. Wei, The Algebraic Foundations of Ranking Theory, Ph.D. Thesis, Cambridge Univ., 1952.