radiusspectralmatrix半径矩阵hawari International Journal of Pure and Applied Mathematics Volume 82 No. 1 2013, 125-131 ISSN: 1311-8080 (printed version) url: http://.ijpam.eu P A ijpam.eu THE RATIOS BETWEEN THE NUMERICAL RADIUS AND THE SPECTRAL RADIUS OF A MATRIX AND THE SQUARE ROOT OF ...
University of Dundeeautomatic inspectioncascade-correlation neural networkscervical cells classificationcervical smearscomputer visionComplex matrix eigenvalues bound derivation by constructing integral equation with degenerate kerneldoi:10.1016/0022-247X(70)90150-2...
Spectral radiusA simple analytic formula for the spectral radius of matrix continuous refinement operators is established. On the space , m ≥ 1 and s ≥ 1, their spectral radius is equal to the maximal eigenvalue in magnitude of a number matrix, obtained from the dilation matrix M and the...
Hoffman, On the spectral radius of (0, 1)-matrices, Linear Algebra Appl. 65 (1985) 133-146.R.A. Brualdi,A.J. Hoffman.On the spectral radius of (0,1) matrices. Linear Algebra and Its Applications . 1985On the spectral radius of (0,1) matrices. R.A. Brualdi,A.J. Hoffman. ...
distance $\\alpha$-spectral radius of $G$ is the spectral radius of the matrix $D_{\\alpha}(G)$ defined as $D_{\\alpha}(G)=\\alpha T(G)+(1-\\alpha)D(G)$, where $T(G)$ is a diagonal matrix of vertex transmissions of $G$ and $D(G)$ is the distance matrix of $G$...
Generalized spectral radius; Properties of matrices with infinitely many values of the ... Blondel,Vincent,D.,... - 《Siam Journal on Matrix Analysis & Applications》 被引量: 182发表: 2003年 An explicit counterexample to the Lagarias-Wang finiteness conjecture The joint spectral radius of a ...
Planar graphGenusThis paper provides new upper bounds on the spectral radius ρ (largest eigenvalue of the adjacency matrix) of graphs embeddable on a ... MN Ellingham,X Zha - 《Journal of Combinatorial Theory》 被引量: 135发表: 2000年 Spectral Radius of Hamiltonian Planar Graphs and Outerpla...
The spectral radius must be one of eigenvalues of the nonnegative matrix.However,it is very difficult to seek the eigenvalues of a matrix.Therefore,it is one of the core problems to estimate the spectral radius of nonnegative matrix in matrix theory.In this paper,by applying the famous Gersch...
(spectral norm). For real ε≥ 0, the ε-pseudospectrum of a matrix A ∈ C n×n [TE05] is the union of the spectra of nearby matrices, Λε (A) = {z ∈ C : z ∈Λ(A +E) for some E ∈ C n×n with E ≤ε} (1.1) where Λ(A) denotes the spectrum (set of ...
Let G be a graph with n vertices and ρ be the spectral radius of its adjacency matrix. Recently, Nikiforov showed that if G has no 4-cycle, then ρ 2 - ρ - ( n - 1 ) ⩽ 0 , with equality if and only if G is the friendship graph. However, this bound is not attainable ...