Results 1 to 10 of about 477,790 (171)
Local Homeostatic Regulation of the Spectral Radius of Echo-State Networks [PDF]
Frontiers in Computational Neuroscience, 2021 Recurrent cortical networks provide reservoirs of states that are thought to play a crucial role for sequential information processing in the brain.
Fabian Schubert, Claudius Gros
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Some new sharp bounds for the spectral radius of a nonnegative matrix and its application [PDF]
Journal of Inequalities and Applications, 2017 In this paper, we give some new sharp upper and lower bounds for the spectral radius of a nonnegative irreducible matrix. Using these bounds, we obtain some new and improved bounds for the signless Laplacian spectral radius of a graph or a digraph.
Jun He +3 more
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Spectral Radius and Hamiltonicity of Graphs
Discussiones Mathematicae Graph Theory, 2019 In this paper, we study the Hamiltonicity of graphs with large minimum degree. Firstly, we present some conditions for a simple graph to be Hamilton-connected and traceable from every vertex in terms of the spectral radius of the graph or its complement,
Yu Guidong +3 more
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Bounds of the Spectral Radius and the Nordhaus-Gaddum Type of the Graphs [PDF]
The Scientific World Journal, 2013 The Laplacian spectra are the eigenvalues of Laplacian matrix L(G)=D(G)-A(G), where D(G) and A(G) are the diagonal matrix of vertex degrees and the adjacency matrix of a graph G, respectively, and the spectral radius of a graph G is the largest ...
Tianfei Wang, Liping Jia, Feng Sun
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Some inequalities on the spectral radius of matrices [PDF]
Journal of Inequalities and Applications, 2018 Let A 1 , A 2 , … , A k $A_{1}, A_{2},\ldots, A_{k}$ be nonnegative matrices. In this paper, some upper bounds for the spectral radius ρ ( A 1 ∘ A 2 ∘ ⋯ ∘ A k ) $\rho(A_{1}\circ A_{2}\circ\cdots\circ A_{k})$ are proposed.
Linlin Zhao, Qingbing Liu
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Connected Hypergraphs with Small Spectral Radius [PDF]
Linear Algebra and its Applications, 2014 In 1970 Smith classified all connected graphs with the spectral radius at most $2$. Here the spectral radius of a graph is the largest eigenvalue of its adjacency matrix.
Lu, Linyuan, Man, Shoudong
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Joint and Generalized Spectral Radius of Upper Triangular Matrices with Entries in a Unital Banach Algebra [PDF]
Sahand Communications in Mathematical Analysis, 2020 In this paper, we discuss some properties of joint spectral {radius(jsr)} and generalized spectral radius(gsr) for a finite set of upper triangular matrices with entries in a Banach algebra and represent relation between geometric and joint/generalized
Hamideh Mohammadzadehkan +2 more
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Relating Estrada index with spectral radius [PDF]
Journal of the Serbian Chemical Society, 2007 The Estrada index EE is a recently proposed molecular structure-descriptor, used in the modeling of certain features of the 3D structure of organic molecules, in particular of the degree of folding of proteins and other long-chain biopolymers.
Gutman Ivan +4 more
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Optimizing the Spectral Radius [PDF]
SIAM Journal on Matrix Analysis and Applications, 2013 We suggest a new approach to finding the maximal and the minimal spectral radii of linear operators from a given compact family of operators, which share a common invariant cone (e.g., family of no...
Y. Nesterov, V. Y. Protasov
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A spectral method for retrieving cloud optical thickness and effective radius from surface-based transmittance measurements [PDF]
Atmospheric Chemistry and Physics, 2011 We introduce a new spectral method for the retrieval of optical thickness and effective radius from cloud transmittance that relies on the spectral slope of the normalized transmittance between 1565 nm and 1634 nm, and on cloud transmittance at a visible
P. J. McBride +4 more
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