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On a problem in eigenvalue perturbation theory [PDF]

open access: yesJournal of Mathematical Analysis and Applications, 2015
We consider additive perturbations of the type $K_t=K_0+tW$, $t\in [0,1]$, where $K_0$ and $W$ are self-adjoint operators in a separable Hilbert space $\mathcal{H}$ and $W$ is bounded.
Gesztesy, Fritz   +2 more
core   +5 more sources

On the Displacement of Eigenvalues When Removing a Twin Vertex [PDF]

open access: yesDiscussiones 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
doaj   +3 more sources

Removing the Courant-Friedrichs-Lewy stability criterion of the explicit time-domain very high degree spectral-element method with eigenvalue perturbation

open access: greenGeophysics, 2021
The explicit time-domain spectral-element method (SEM) for synthesizing seismograms hasgained tremendous credibility within the seismological community at all scales.
Chao Lyu   +3 more
openalex   +3 more sources

Global Perturbation of Nonlinear Eigenvalues

open access: yesAdvanced 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
doaj   +3 more sources

Multiple perturbations of a singular eigenvalue problem [PDF]

open access: green, 2014
We study the perturbation by a critical term and a $(p-1)$-superlinear subcritical nonlinearity of a quasilinear elliptic equation containing a singular potential. By means of variational arguments and a version of the concentration-compactness principle
Matija Cencelj   +2 more
openalex   +3 more sources

A Modal Perturbation Method for Eigenvalue Problem of Non-Proportionally Damped System [PDF]

open access: goldApplied 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
doaj   +2 more sources

First-Order Perturbation Theory for Eigenvalues and Eigenvectors [PDF]

open access: bronzeSIAM Review, 2020
We present first-order perturbation analysis of a simple eigenvalue and the corresponding right and left eigenvectors of a general square matrix, not assumed to be Hermitian or normal.
Anne Greenbaum   +2 more
openalex   +3 more sources

An algorithm for the eigenvalue perturbation problem [PDF]

open access: bronzeInternational Symposium on Symbolic and Algebraic Computation, 2000
Claude-Pierre Jeannerod
openalex   +2 more sources

Releasing the Time Step Upper Bound of CFL Stability Condition for the Acoustic Wave Simulation With Model-Order Reduction

open access: yesFrontiers 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
doaj   +1 more source

Solving Singular Generalized Eigenvalue Problems by a Rank-Completing Perturbation [PDF]

open access: yesSIAM Journal on Matrix Analysis and Applications, 2018
Generalized eigenvalue problems involving a singular pencil are very challenging to solve, both with respect to accuracy and efficiency. The existing package Guptri is very elegant but may sometimes be time-demanding, even for small and medium-sized ...
M. Hochstenbach, C. Mehl, Bor Plestenjak
semanticscholar   +1 more source

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