Results 1 to 10 of about 147,544 (216)
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.
William W. Hager, Roger N. Pederson
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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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On the eigenvalues for slowly varying perturbations of a periodic Schrödinger operator [PDF]
arXiv, 2005 In this paper, I consider one-dimensional periodic Schr{\"o}dinger operators perturbed by a slowly decaying potential. In the adiabatic limit, I give an asymptotic expansion of the eigenvalues in the gaps of the periodic operator. When one slides the perturbation along the periodic potential, these eigenvalues oscillate.
Magali Marx
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On the perturbation series for eigenvalues and eigenprojections [PDF]
arXiv, 2019 A standard perturbation result states that perturbed eigenvalues and eigenprojections admit a perturbation series provided that the operator norm of the perturbation is smaller than a constant times the corresponding eigenvalue isolation distance. In this paper, we show that the same holds true under a weighted condition, where the perturbation is ...
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A Modal Perturbation Method for Eigenvalue Problem of Non-Proportionally Damped System [PDF]
Applied Sciences, 2020 The non-proportionally damped system is very common in practical engineering structures. The dynamic equations for these systems, in which the damping matrices are coupled, are very time consuming to solve.
Danguang Pan +4 more
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Singular perturbation of simple eigenvalues [PDF]
Rocky Mountain Journal of Mathematics, 1976 W. M. Greenlee
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Perturbation of eigenvalues with an engineering application
Journal of Mathematical Analysis and Applications, 1969 W. M. Greenlee
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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 .
Lamberti P. D., Luzzini P., Musolino P.
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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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Expansion of eigenvalues of the perturbed discrete bilaplacian [PDF]
Monatshefte für Mathematik, 2022 AbstractWe consider the family $$\begin{aligned} {\widehat{{ H}}}_\mu := {\widehat{\varDelta }} {\widehat{\varDelta }} - \mu {\widehat{{ V}}},\qquad \mu \in {\mathbb {R}}, \end{aligned}$$
Kholmatov, Shokhrukh Yu. +2 more
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