vol9_pp112-117. 107KB Jun 04 2011 12:06:16 AM
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Similarity transformations leaving such sets invariant are completely described, and it is shown that a nonnilpotent matrix eventually capturing the Perron-Frobenius property is in
A limiting formula is given for the spectral radius of the expanded graph when the lengths of some chains replacing the original edges tend to innity.. The proofs depend on
The spectral radius of connected non-regular graphs is considered.. This improves the recent results
Weighted graph, Generalized Bethe tree, Laplacian matrix, Adjacency matrix, Spectral radius, Algebraic connectivity.. AMS
For normal matrices in WPFn and those in WPFn for which the spectral radius is simple, we present approximating matrices that satisfy the strong P-F property and are polynomials
We prove Zhan’s conjecture, and a related inequality for positive semidefinite matrices, using standard facts about principal submatrices, Kronecker products, and the spectral
A characterization of the joint spectral radius, due to Chen and Zhou, relies on the limit superior of the k -th root of the dominant trace over products of matrices of length k..
These results are used to characterize all extremal weighted trees with the largest p -Laplacian spectral radius among all weighted trees with a given degree sequence and a
