spectral radius
A formula for the inner spectral radius
... 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. This minimum moduli is called the inner spectral ...
6
Some new estimations for the upper and lower bounds for the spectral radius of nonnegative matrices
... all ≤ i ≤ n, ≤ j ≤ n. If O is the null matrix and A ≥ O (> O), we say that A is a nonnegative (positive) matrix. The spectral radius of A is denoted by ρ(A). If A is a nonnegative matrix, the ...
14
Bounds for the M spectral radius of a fourth order partially symmetric tensor
... M-eigenvalues of fourth-order partially symmetric tensors play an important role in many real fields such as quantum entanglement and nonlinear elastic materials analysis. In this paper, we give two bounds for the maximal ...
7
Estimations for spectral radius of nonnegative matrices and the smallest eigenvalue of M matrices
... the spectral radius of nonnegative matrices and the smallest eigenvalue of M-matrices are given by matrix directed graphs and their k-path ...the spectral radius of nonnegative matrices are ...
11
Bounds on the spectral radius of a Hadamard product of nonnegative or positive semidefinite matrices
... the spectral radius of the Hadamard product of two square nonnegative matrices is not greater than the spectral radius of their ordinary ...
6
Some new sharp bounds for the spectral radius of a nonnegative matrix and its application
... the spectral radius of a nonnegative irreducible ...Laplacian spectral radius of a graph or a digraph which are better than the bounds in [, ...
6
Comparison of max-plus automata and joint spectral radius of tropical matrices
... joint spectral radius and the ultimate ...joint spectral radius ...joint spectral radius is nevertheless approximable and we exhibit restricted cases in which the joint ...
15
Ordering the oriented unicyclic graphs whose skew spectral radius is bounded by 2
... equals the number of vertices, is called a unicyclic graph. In this paper, the structure of oriented unicyclic graphs whose skew-spectral radius does not exceed 2 is investigated. We order all the oriented ...
12
A Priori Indicator of Convergence Rate for Power Method for Computing the Spectral Radius of Saddle Point Matrices
... In this paper, we introduce the power method to compute the spectral radius, i.e., the maximum eigenvalue modulus of the saddle point matrix 𝑾, and establish a concrete program according to the specific ...
7
Some inequalities on the spectral radius of matrices
... Motivated by [8] and [1–4, 9, 10], in this paper we propose some inequalities on the up- per bounds for the spectral radius of the Hadamard product of any k nonnegative matri- ces. These bounds generalize ...
12
Joint spectral radius, Sturmian measures and the finiteness conjecture
... joint spectral radius r(A(t)) is simply the spectral radius of the dominating ...joint spectral radius is always attained by a unique Sturmian ...
38
On Complementary Distance Signless Laplacian Spectral Radius and Energy of Graphs
... In this section we present upper bounds for the complementary distance signless Laplacian spectral radius of bipartite graphs in terms of diameter and number of vertices and characterize[r] ...
21
Stability of Fuzzy Elman Neural Network Using Joint Spectral Radius Spectral Radius of Matrix Dynamic Systems
... Stability of Fuzzy Elman Neural Network Using Joint Spectral Radius Spectral Radius of Matrix.. Leila Fallah Araghi, Farbod Setoudeh.[r] ...
6
A new bound for the spectral radius of nonnegative tensors
... By estimating the ratio of the smallest component and the largest component of a Perron vector, we provide a new bound for the spectral radius of a nonnegative tensor. And it is proved that the proposed ...
12
New bounds for the spectral radius for nonnegative tensors
... A lower bound and an upper bound for the spectral radius for nonnegative tensors are obtained. A numerical example is given to show that the new bounds are sharper than the corresponding bounds obtained by ...
9
Spectral Radius and Some Hamiltonian Properties of Graphs
... We consider only finite undirected graphs without loops or multiple edges. Notation and terminology not defined here follow those in [2]. For a graph , , we use , , , and Δ to denote its order || , size || , minimum ...
5
On the difference between the spectral radius and the maximum degree of graphs
... study the characteristic polynomials and spectra of the adjacency matrix of graphs, in particular characterization of graphs by their eigenvalues and finding the location of eigenvalues of graphs, see [1]–[17] and the ...
6
The signless Laplacian spectral radius of some strongly connected digraphs
... G ) be the diagonal matrix with out-degrees of the vertices of − → G . Then the matrix Q( − → G ) = D( − → G ) + A( − → G ) is called the signless Laplacian matrix of Q( − → G), and let q( − → G ) denote its signless ...
15
On the spectral radius of bipartite graphs which are nearly complete
... the spectral radius in terms of various parameters for unweighted and weighted graphs have been widely investigated ...the spectral radius of bipartite graphs which are close to a complete ...
5
Sharp Bounds on the PI Spectral Radius
... Ashrafi, Vertex and edge PI indices of Cartesian product graphs, Discrete Appl.. Ashrafi, A matrix method for computing Szeged and vertex PI indices of join and composition of graphs,[r] ...
7