Results 11 to 20 of about 7,423,787 (281)
Analytical Prediction of Critical Transitions in Oscillator Networks With Non‐Local Links [PDF]
Advanced scienceAn analytical framework reveals how global coupling, second‐harmonic strength, noise, and network structure govern oscillator‐based Ising dynamics. Spectral reduction predicts stability boundaries, while Fokker–Planck analysis captures one‐ to two‐cluster transitions and identifies conditions favoring low‐energy configurations.
Li Q +5 more
europepmc +2 more sources
Positive eigenvector of nonlinear eigenvalue problem with a singular M-matrix and Newton-SOR iterative solution [PDF]
Journal of Inequalities and Applications, 2016 Some sufficient conditions are proposed in this paper such that the nonlinear eigenvalue problem with an irreducible singular M-matrix has a unique positive eigenvector.
Cheng-yi Zhang +2 more
doaj +3 more sources
Equivalence of Sturm-Liouville Problem with Finitely Many δ-Interactions and Matrix Eigenvalue Problems [PDF]
International Journal of Analysis and Applications, 2018 The purpuse of this article is to show the matrix representations of Sturm-Liouville operators with finitely many δ-interactions. We show that a Sturm-Liouville problem with finitely many δ-interactions can be represented as a finite dimensional matrix ...
Abdullah Kablan, Mehmet Akif Çetin
doaj +3 more sources
Generalized and quadratic eigenvalue problems with hermitian matrices. [PDF]
, 2012 Eigenvalue and eigenvector computations are extremely important and have various applications in engineering, physics and other scientific disciplines.
Farah, Ali Mohamud
core +7 more sources
Discrete Tracy--Widom operators. [PDF]
, 2009 Integrable operators arise in random matrix theory, where they describe the asymptotic eigenvalue distribution of large self-adjoint random matrices from the generalized unitary ensembles.
McCafferty, Andrew, Blower, Gordon
core +4 more sources
Eigenvalue enclosures and exclosures for non-self-adjoint problems in hydrodynamics [PDF]
, 2010 In this paper we present computer-assisted proofs of a number of results in theoretical fluid dynamics and in quantum mechanics. An algorithm based on interval arithmetic yields provably correct eigenvalue enclosures and exclosures for non-self-adjoint ...
Langer, M. +10 more
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Interpolation between Airy and Poisson statistics for unitary chiral non-Hermitian random matrix ensembles [PDF]
, 2010 We consider a family of chiral non-Hermitian Gaussian random matrices in the unitarily invariant symmetry class. The eigenvalue distribution in this model is expressed in terms of Laguerre polynomials in the complex plane.
Akemann, G, Bender, M
core +6 more sources
Inflationary dynamics for matrix eigenvalue problems [PDF]
Proceedings of the National Academy of Sciences, 2008 Many fields of science and engineering require finding eigenvalues and eigenvectors of large matrices. The solutions can represent oscillatory modes of a bridge, a violin, the disposition of electrons around an atom or molecule, the acoustic modes of a concert hall, or hundreds of other physical quantities. Often only the few eigenpairs with the lowest
Heller, E., Kaplan, L., Pollmann, F.
openaire +4 more sources
Algorithms, 2023 A vibrating pylon, modeled as a waveguide, with an attached point mass that is time-varying poses a numerically challenging problem regarding the most efficient way for eigenvalue extraction.
George D. Manolis, Georgios I. Dadoulis
doaj +1 more source
IET Radar, Sonar & Navigation, 2021 To improve the space‐time adaptive processing (STAP) performance of airborne radar in complex environment, a generalised eigenvalue reweighting covariance matrix estimation algorithm called GERCM is proposed here. First, the interference plus noise (IPN)
Hao Xiao, Tong Wang, Cai Wen, Bing Ren
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