Bounds for the Perron root of a nonnegative matrix involving the properties of its graph
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Publication:1916665
DOI10.1007/BF02305101zbMath0853.15012MaRDI QIDQ1916665
Publication date: 3 December 1996
Published in: Mathematical Notes (Search for Journal in Brave)
cycledigrapheigenvaluesspectral radiusnonnegative matrixgeometric meanPerron rootPerron-Frobenius theorem
Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Inequalities involving eigenvalues and eigenvectors (15A42) Positive matrices and their generalizations; cones of matrices (15B48)
Related Items (7)
The numerical radius and bounds for zeros of a polynomial ⋮ Bounding the row sum arithmetic mean by Perron roots of row-permuted matrices ⋮ On the sharpness of two-sided bounds for the Perron root and of the related eigenvalue inclusion sets ⋮ Bounds for the Perron root using max eigenvalues ⋮ Spectra of digraphs ⋮ On sets of eigenvalues of matrices with prescribed row sums and prescribed graph ⋮ Interplay of node connectivity and epidemic rates in the dynamics of epidemic networks
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