Results 271 to 280 of about 66,958 (298)

Local Spectral Radius Preservers

Integral Equations and Operator Theory, 2013
Let \(X\) be an infinite-dimensional complex Banach space and \(\mathcal B(X)\) the space of all bounded operators on \(X\). The authors show that, if \(\varphi\) is a surjective map on \(\mathcal B(X)\) such that \(\mathrm r_{T-S}(x)=0\) if and only if \(\mathrm r_{\varphi(T)-\varphi(S)}(x)=0\) for every \(x\in X\) and \(S,T\in\mathcal B(X)\), then ...
Bourhim, Abdellatif, Mashreghi, Javad
openaire   +1 more source

Computation on spectral radius of a graph

2012 8th International Conference on Natural Computation, 2012
The molecular stability and related chemical properties are closely linked to the spectrum of the graph and corresponding eigenvalues. In quantum chemistry, spectral radius of graphs is the maximum energy level of molecules. Therefore, good upper bounds for the spectral radius is beneficial to estimate the energy of molecules.
Tianfei Wang, Peng Jin, Bin Li
openaire   +1 more source

Estimation of the Joint Spectral Radius

2015
The joint spectral radius of a set of matrices is a generalization of the concept of spectral radius of a matrix. Such notation has many applications in the computer science, and more generally in applied mathematics. It has been used, for example in graph theory, control theory, capacity of codes, continuity of wavelets, overlap-free words, trackable ...
Adam Czornik, Piotr Jurgas, Michal Niezabitowski   +2 more
openaire   +1 more source

On the spectral radius of nonnegative matrices [PDF]

Australas. J Comb., 2000
Summary: We give lower bounds for the spectral radius of nonnegative matrices and nonnegative symmetric matrices, and prove necessary and sufficient conditions to achieve these bounds.
openaire   +1 more source

Estimates for the joint spectral radius

Applied Mathematics and Computation, 2006
For a finite set of square matrices of the same size, the author develops computational estimates of the joint spectral radius. Examples are given where these estimates are sharp.
openaire   +1 more source

On the spectral radius of a directed graph

Journal of Graph Theory, 1996
The paper gives upper estimates on the spectral radius of a directed graph. It is shown that the spectral radius is bounded by the maximum of the geometric mean of in-degree and out-degree taken over all vertices.
openaire   +2 more sources

Characterizing star factors via the size, the spectral radius or the distance spectral radius of graphs

Discrete Applied Mathematics, 2023
Shujing Miao, Shuchao Li
exaly  

The spectral radius of graphs with given independence number

Discrete Mathematics, 2022
Zhenzhen Lou, Ji-Ming Guo
exaly  

On the Spectral Radius of Graphs with Cut Vertices

Journal of Combinatorial Theory Series B, 2001
Abraham Berman
exaly  

Spectral radius

1974
openaire   +1 more source