On the minimum Perron value for an irreducible tournament matrix

DOI10.1016/0024-3795(94)00236-3zbMath0860.15016OpenAlexW2139417158MaRDI QIDQ1923219

Stephen J. Kirkland

Publication date: 7 October 1996

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0024-3795(94)00236-3

zbMATH Keywords

irreducible tournament matrixminimum Perron value

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42)

Related Items

Spectra of digraphs ⋮ Some properties complementary to Brualdi-Li matrices ⋮ Perron vector ordering for a subclass of tournament matrices ⋮ Properties of the Brualdi-Li tournament matrix

Cites Work

• Non-negative matrices and Markov chains. 2nd ed
• Algebraic multiplicity of the eigenvalues of a tournament matrix
• Spectral radii of tournament matrices whose graphs are related by an arc reversal
• Hypertournament matrices, score vectors and eigenvalues
• A reversal index for tournament matrices^*
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