Results 31 to 40 of about 276,787 (219)
ISI spectral radii and ISI energies of graph operations
Frontiers in Physics, 2023 Graph energy is defined to be the p-norm of adjacency matrix associated to the graph for p = 1 elaborated as the sum of the absolute eigenvalues of adjacency matrix.
Ahmad Bilal +3 more
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Eigenvalues and the diameter of graphs [PDF]
Linear and Multilinear Algebra, 1995 Using eigenvalue interlacing and Chebyshev polynomials we find upper bounds for the diameter of regular and bipartite biregular graphs in terms of their eigenvalues. This improves results of Chung and Delorme and Sole. The same method gives upper bounds for the number of vertices at a given minimum distance from a given vertex set.
van Dam, E.R., Haemers, W.H.
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On eigenvalues and main eigenvalues of a graph [PDF]
Mathematica Moravica, 2000 Let G be a simple graph of order n and let λ1 ≥ λ 2 ≥ ··· ≥ n and λ1 ≥ λ2 ≥ ··· ≥ λn be its eigenvalues with respect to the ordinary adjacency matrix A = A(G) and the Seidel adjacency matrix A*=A*(G), respectively. Using the Courant-Weyl inequalities we prove that λ n+1−i Є [−λ i−1, λ i+1−1] and λ n*+1−i Є [−2 λ i−1,−2 λ i+1−1] for i = 1, 2,..., n−1 ...
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Singular values and eigenvalues of tensors: a variational approach [PDF]
IEEE International Workshop on Computational Advances in Multi-Sensor Adaptive Processing, 2005 We propose a theory of eigenvalues, eigenvectors, singular values, and singular vectors for tensors based on a constrained variational approach much like the Rayleigh quotient for symmetric matrix eigenvalues.
Lek-Heng Lim
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Mathematics, 2022 In this paper, we first derive a family of iterative schemes with fourth order. A weight function is used to maintain its optimality. Then, we transform it into methods with several self-accelerating parameters to reach the highest possible convergence ...
Malik Zaka Ullah +3 more
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Eigenvalues and pseudo-eigenvalues of Toeplitz matrices
Linear Algebra and its Applications, 1992 AbstractThe eigenvalues of a nonhermitian Toeplitz matrix A are usually highly sensitive to perturbations, having condition numbers that increase exponentially with the dimension N. An equivalent statement is that the resolvent (zI − A)−1 of a Toeplitz matrix may be much larger in norm than the eigenvalues alone would suggest-exponentially large as a ...
Lloyd N. Trefethen, Lothar Reichel
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Stability of variational eigenvalues for the fractional p−Laplacian [PDF]
, 2015 By virtue of $\Gamma-$convergence arguments, we investigate the stability of variational eigenvalues associated with a given topological index for the fractional $p-$Laplacian operator, in the singular limit as the nonlocal operator converges to the $p-
L. Brasco, E. Parini, M. Squassina
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Complex Eigenvalue Analysis of Multibody Problems via Sparsity-Preserving Krylov–Schur Iterations
Machines, 2023 In this work, we discuss the numerical challenges involved in the computation of the complex eigenvalues of damped multi-flexible-body problems. Aiming at the highest generality, the candidate method must be able to deal with arbitrary rigid body modes ...
Dario Mangoni +2 more
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Biometrika, 2020 Summary The properties of penalized sample covariance matrices depend on the choice of the penalty function. In this paper, we introduce a class of nonsmooth penalty functions for the sample covariance matrix and demonstrate how their use results in a grouping of the estimated eigenvalues.
Tyler, David E., Yi, Mengxi
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Journal of Inequalities and Applications, 2018 A Lyapunov-type inequality is established for the anti-periodic fractional boundary value problem (CDaα,ψu)(x)+f(x,u(x))=0 ...
Bessem Samet, Hassen Aydi
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