Results 71 to 80 of about 477,790 (171)

Extended Spectral Radius in Topological Algebras

Rocky Mountain Journal of Mathematics, 1993
The authors study the relationships among 8 notions of spectral radius functions \(r_ 1,\dots, r_ 7\) and \(r_ *\) defined for locally convex topological algebras by Zelazko. The functions all coincide for a Banach algebra but need not coincide in the more general setting.
Arizmendi, H., Jarosz, K.
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Bounds for the Laplacian spectral radius of graphs

Electronic Journal of Graph Theory and Applications, 2017
This paper is a survey on the upper and lower bounds for the largest eigenvalue of the Laplacian matrix, known as the Laplacian spectral radius, of a graph.
Kamal Lochan Patra, Binod Kumar Sahoo
doaj   +1 more source

Upper bounds for the spectral radius of matrices having the Perron–Frobenius property

Journal of Inequalities and Applications
A new upper bound for the spectral radius of matrices having the Perron–Frobenius property is given by considering the position of positive entries. Some examples involving the largest zero of polynomials and the spectral radius of the iterative matrix ...
Kaimin Li, Chaoqian Li
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Structural network characteristics affect epidemic severity and prediction in social contact networks

Infectious Disease Modelling
Understanding and mitigating epidemic spread in complex networks requires the measurement of structural network properties associated with epidemic risk. Classic measures of epidemic thresholds like the basic reproduction number (R0) have been adapted to
Jae McKee, Tad Dallas
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Nonlinear Joint Spectral Radius

We introduce a nonlinear extension of the joint spectral radius (JSR) for switched discrete-time dynamical systems governed by sub-homogeneous and order-preserving maps acting on cones. We show that this nonlinear JSR characterizes both the asymptotic stability of the system and the divergence or convergence rate of trajectories originating from ...
Deidda, Piero, Guglielmi, Nicola, Tudisco, Francesco   +2 more
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Bounds for resistance-distance spectral radius

, 2013
Lower and upper bounds as well as Nordhause-Gaddum-type results for the resistance-distance spectral radius are obtained.
Maden, A. Dilek Gungor, Gutman, Ivan, Cevik, A. Sinan   +2 more
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Spectral radius and spectral norm [PDF]

Czechoslovak Mathematical Journal, 1974
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Infinite families of trees with equal spectral radius

Examples and Counterexamples
In this note we show that for each positive integer a⩾2 there exist infinitely many trees whose spectral radius is equal to 2a. Such trees are obtained by replacing the central edge of the double star S(a,2a−2) with suitable bidegreed caterpillars.
Francesco Belardo, Maurizio Brunetti
doaj   +1 more source

Strengthening of spectral radius, numerical radius, and Berezin radius inequalities

Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas
Suppose $\mathcal{H}_1, \mathcal{H}_2, \ldots, \mathcal{H}_n$ are arbitrary complex Hilbert spaces, and ${\bf A}=[A_{ij}]$ is an $n\times n$ operator matrix with $A_{ij}\in \mathcal{B}(\mathcal{H}_j, \mathcal{H}_i).$ We show that $w({\bf A}) \leq w\left(\begin{bmatrix} a_{ij} \end{bmatrix}_{i,j=1}^n \right),$ where $w(\cdot)$ denotes the numerical ...
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An upper bound for the Z-spectral radius of adjacency tensors. [PDF]

J Inequal Appl, 2018
Wu ZY, He J, Liu YM, Tian JK.
europepmc   +1 more source