Results 11 to 20 of about 134,115 (317)
On the Displacement of Eigenvalues When Removing a Twin Vertex [PDF]
Discussiones Mathematicae Graph Theory, 2020 Twin vertices of a graph have the same open neighbourhood. If they are not adjacent, then they are called duplicates and contribute the eigenvalue zero to the adjacency matrix.
Briffa Johann A., Sciriha Irene
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Relative perturbation theory for quadratic Hermitian eigenvalue problems [PDF]
, 2021 In this paper, we derive new relative perturbation bounds for eigenvectors and eigenvalues for regular quadratic eigenvalue problems of the form $\lambda^2 M x + \lambda C x + K x = 0$, where $M$ and $K$ are nonsingular Hermitian matrices and $C$ is a ...
Peter Benner +3 more
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Shape Perturbation of Grushin Eigenvalues [PDF]
The Journal of Geometric Analysis, 2021 AbstractWe consider the spectral problem for the Grushin Laplacian subject to homogeneous Dirichlet boundary conditions on a bounded open subset of $${\mathbb {R}}^N$$ R N .
Pier Domenico Lamberti +2 more
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Global Perturbation of Nonlinear Eigenvalues
Advanced Nonlinear Studies, 2021 This paper generalizes the classical theory of perturbation of eigenvalues up to cover the most general setting where the operator surface 𝔏:[a,b]×[c,d]→Φ0(U,V){\mathfrak{L}:[a,b]\times[c,d]\to\Phi_{0}(U,V)}, (λ,μ)↦𝔏(λ,μ){(\lambda,\mu)\mapsto\mathfrak ...
López-Gómez Julián +1 more
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Second Order Perturbation Theory for Embedded Eigenvalues [PDF]
Communications in Mathematical Physics, 2011 We study second order perturbation theory for embedded eigenvalues of an abstract class of self-adjoint operators. Using an extension of the Mourre theory, under assumptions on the regularity of bound states with respect to a conjugate operator, we prove upper semicontinuity of the point spectrum and establish the Fermi Golden Rule criterion.
Jérémy Faupin +2 more
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Frontiers in Earth Science, 2022 The maximum time step size for the explicit finite-difference scheme complies with the Courant–Friedrichs–Lewy (CFL) stability condition, which essentially restricts the optimization and tuning of the communication-intensive massive seismic wave ...
Yingjie Gao +5 more
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Real Valued Functions for the BFKL Eigenvalue
Universe, 2021 We consider known expressions for the eigenvalue of the Balitsky-Fadin-Kuraev-Lipatov (BFKL) equation in N=4 super Yang-Mills theory as a real valued function of two variables.
Mohammad Joubat, Alex Prygarin
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Perturbed eigenvalue problems: an overview [PDF]
Studia Universitatis Babes-Bolyai Matematica, 2021 The study of perturbed eigenvalue problems has been a very active field of investigation throughout the years. In this survey we collect several results in the field.
Maria Farcaseanu +3 more
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Soft photon radiation and entanglement
European Physical Journal C: Particles and Fields, 2021 We study the entanglement between soft and hard particles produced in generic scattering processes in QED. The reduced density matrix for the hard particles, obtained via tracing over the entire spectrum of soft photons, is shown to have a large ...
Anastasios Irakleous +2 more
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Linear Algebra and its Applications, 1982 AbstractWe study the dependence of the eigenvalues of a tridiagonal matrix upon off-diagonal entries. The change in the eigenvalues when a cross-diagonal product approaches zero or infinity is estimated.
Hager, William W., Pederson, Roger N.
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