Title of article
On the location of the spectrum of hypertournament matrices Original Research Article
Author/Authors
S. Kirkland، نويسنده , , P. J. Psarrakos، نويسنده , , M. J. Tsatsomeros، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2001
Pages
13
From page
37
To page
49
Abstract
Inclusion regions for the spectrum of a hypertournament matrix A are obtained, based on a complex curve that relates the real and imaginary parts of the eigenvalues. These results generalize and in certain cases improve the work of S. Kirkland [Linear and Multilinear Algebra 30 (1991) 261]. The bounds obtained depend on the variance of the score vector; their tightness is investigated using the notion of numerical range.
Keywords
Hypertournament matrix , Spectrum , numerical range
Journal title
Linear Algebra and its Applications
Serial Year
2001
Journal title
Linear Algebra and its Applications
Record number
823168
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