Perron vector bounds for a tournament matrix with applications to a conjecture of Brualdi and Li

DOI10.1016/S0024-3795(97)80032-8zbMath0880.15024WikidataQ123351230 ScholiaQ123351230MaRDI QIDQ1361840

Stephen J. Kirkland

Publication date: 8 February 1998

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

zbMATH Keywords

spectral radius\((0,1)\)-matricestournament matrixrow sumsPerron valuePerron vector bounds

Mathematics Subject Classification ID

Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Positive matrices and their generalizations; cones of matrices (15B48) Matrices of integers (15B36)

Related Items (9)

Normal matrices and their principal submatrices of co-order one ⋮ A note on Perron vectors for almost regular tournament matrices ⋮ Solution of the conjecture of Brualdi and Li ⋮ On almost regular tournament matrices ⋮ Bounds for the Perron root using max eigenvalues ⋮ Spectra of digraphs ⋮ Bounds for Levinger's function of nonnegative almost skew-symmetric matrices ⋮ The spectrum and eigenvectors of the Laplacian matrices of the Brualdi-Li tournament digraphs ⋮ An upper bound on the Perron value of an almost regular tournament matrix

Cites Work

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• A note on the sequence of Brualdi-Li matrices
• Matrix Analysis
• On the characteristic roots of tournament matrices

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