On the location of the spectrum of hypertournament matrices

Authors
Kirkland, S Psarrakos, PJ Tsatsomeros, MJ
Citation
S. Kirkland et al., On the location of the spectrum of hypertournament matrices, LIN ALG APP, 323(1-3), 2001, pp. 37-49
Citations number
12
Categorie Soggetti
Mathematics
Journal title
LINEAR ALGEBRA AND ITS APPLICATIONS
ISSN journal
00243795 → ACNP
Volume
323
Issue
1-3
Year of publication
2001
Pages
37 - 49
Database
ISI
SICI code
0024-3795(20010115)323:1-3<37:OTLOTS>2.0.ZU;2-I
Abstract
Inclusion regions for the spectrum of a hypertournament matrix A are obtain ed, based on a complex curve that relates the real and imaginary parts of t he eigenvalues. These results generalize and in certain cases improve the w ork of S. Kirkland [Linear and Multilinear Algebra 30 (1991) 261]. The boun ds obtained depend on the variance of the score vector: their tightness is investigated using the notion of numerical range. (C) 2001 Elsevier Science Inc. All rights reserved. AMS classification: 15A18; 15A48; 15A60; 05C20.