Results 51 to 60 of about 197,057 (337)
How can we naturally order and organize graph Laplacian eigenvectors?
, 2018 When attempting to develop wavelet transforms for graphs and networks, some researchers have used graph Laplacian eigenvalues and eigenvectors in place of the frequencies and complex exponentials in the Fourier theory for regular lattices in the ...
Saito, Naoki
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Quantum Algorithm Providing Exponential Speed Increase for Finding Eigenvalues and Eigenvectors [PDF]
, 1998 We describe a new polynomial time quantum algorithm that uses the quantum fast Fourier transform to find eigenvalues and eigenvectors of a local Hamiltonian, and that can be applied in cases (commonly found in ab initio physics and chemistry problems ...
D. Abrams, S. Lloyd
semanticscholar +1 more source
Sparse random graphs: Eigenvalues and eigenvectors [PDF]
Random Struct. Algorithms, 2010 In this paper, we prove the semi‐circular law for the eigenvalues of regular random graph Gn,d in the case d →∞, complementing a previous result of McKay for fixed d. We also obtain a upper bound on the infinity norm of eigenvectors of Erdős–Rényi random
L. Tran, V. Vu, Ke Wang
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Computational Modeling of Reticular Materials: The Past, the Present, and the Future
Advanced Materials, EarlyView.Reticular materials are advanced materials with applications in emerging technologies. A thorough understanding of material properties at operating conditions is critical to accelerate the deployment at an industrial scale. Herein, the status of computational modeling of reticular materials is reviewed, supplemented with topical examples highlighting ...
Wim Temmerman +3 more
wiley +1 more source
Recursive solutions for Laplacian spectra and eigenvectors of a class of growing treelike networks
, 2009 The complete knowledge of Laplacian eigenvalues and eigenvectors of complex networks plays an outstanding role in understanding various dynamical processes running on them; however, determining analytically Laplacian eigenvalues and eigenvectors is a ...
B. Bollobás +8 more
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Eigenvectors from eigenvalues: A survey of a basic identity in linear algebra
Bulletin of the American Mathematical Society, 2019 If $A$ is an $n \times n$ Hermitian matrix with eigenvalues $\lambda_1(A),\dots,\lambda_n(A)$ and $i,j = 1,\dots,n$, then the $j^{\mathrm{th}}$ component $v_{i,j}$ of a unit eigenvector $v_i$ associated to the eigenvalue $\lambda_i(A)$ is related to the ...
P. Denton +3 more
semanticscholar +1 more source
Nonlocal Conduction in a Metawire
Advanced Materials, Volume 37, Issue 13, April 2, 2025.A 1D metawire composed of twisted copper wires is designed and realized. This metamaterial exhibits pronounced effects of nonlocal electric conduction according to Ohm's law. The current at one location not only depends on the electric field at that location but also on other locations.
Julio Andrés Iglesias Martínez +3 more
wiley +1 more source
Ekológia (Bratislava), 2016 In this study, we used bootstrap simulation of a real data set to investigate the impact of sample size (N = 20, 30, 40 and 50) on the eigenvalues and eigenvectors resulting from principal component analysis (PCA).
Shaukat S. Shahid +2 more
doaj +1 more source
A Globally Convergent MCA Algorithm by Generalized Eigen-Decomposition [PDF]
International Journal of Computational Intelligence Systems, 2011 Minor component analysis (MCA) are used in many applications such as curve and surface fitting, robust beam forming, and blind signal separation. Based on the generalized eigen-decomposition, we present a completely different approach that leads to ...
Jianbin Gao, Mao Ye, Jianping Li, Qi Xia
doaj +1 more source
Nonlinear Eigenvalue Approach to Differential Riccati Equations for Contraction Analysis [PDF]
, 2016 In this paper, we extend the eigenvalue method of the algebraic Riccati equation to the differential Riccati equation (DRE) in contraction analysis. One of the main results is showing that solutions to the DRE can be expressed as functions of nonlinear ...
Kawano, Yu, Ohtsuka, Toshiyuki
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