Results 11 to 20 of about 1,181,505 (283)
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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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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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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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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A formula for the inner spectral radius [PDF]
International Journal of Mathematics and Mathematical Sciences, 2004 This note presents an asymptotic formula for the minimum of the moduli of the elements in the spectrum of a bounded linear operator acting on Banach space X.
S. Mahmoud Manjegani
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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...
Yurii E. Nesterov, Vladimir Protasov
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On the α-Spectral Radius of Uniform Hypergraphs
Discussiones Mathematicae Graph Theory, 2020 For 0 ≤ α ---lt--- 1 and a uniform hypergraph G, the α-spectral radius of G is the largest H-eigenvalue of αD(G)+(1−α)A(G), where D(G) and A(G) are the diagonal tensor of degrees and the adjacency tensor of G, respectively. We give upper bounds for the α-
Guo Haiyan, Zhou Bo
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A generalization of spectral radius, numerical radius, and spectral norm [PDF]
Linear Algebra and its Applications, 1987 The author defines three quantities, \(\rho\) (A), r(A), and \(\| A\|\), as scalar functions of a matrix A. These are \(\ell_ p\) norms of tuples formed respectively from the eigenvalues of A, the diagonal of a unitary similarity of A (that is, \(UAU^*)\), and the diagonal of a matrix unitarily equivalent to A (that is, UAV), where U, V are to be ...
Li, Chi-Kwong
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Maps preserving spectral radius, numerical radius, spectral norm
The Electronic Journal of Linear Algebra, 2007 It was shown by \textit{S. Clark}, \textit{C.K. Li}, and \textit{A. Rastogi} [Bull. Aust. Math. Soc. 77, No.~1, 49--72 (2008; Zbl 1147.15001)] that under some restrictions every (possibly nonlinear) map \(f:M_{m\times n}\to M_{m\times n}\) on rectangular matrices, which is multiplicative with respect to Schur (= entrywise) product, is of the form \(f ...
Li, Chi-Kwong +2 more
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The spectral radius and the distance spectral radius of complements of block graphs [PDF]
In this paper, we determine the graphs whose spectral radius and distance spectral radius attain maximum and minimum among all complements of clique trees. Furthermore, we also determine the graphs whose spectral radius and distance spectral radius attain minimum and maximum among all complements of block graphs, respectively.
Chen, Xu +3 more
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