Results 31 to 40 of about 147,544 (216)
Perturbation of eigenvalues of the Klein–Gordon operators [PDF]
Revista Matemática Complutense, 2019 We prove inclusion theorems for both spectra and essential spectra as well as two-sided bounds for isolated eigenvalues for Klein-Gordon type Hamiltonian operators. We first study operators of the form $JG$, where $J$, $G$ are selfadjoint operators on a Hilbert space, $J = J^* = J^{-1}$ and $G$ is positive definite and then we apply these results to ...
Ivica Nakić, Krešimir Veselić
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Closed form bound-state perturbation theory
International Journal of Mathematics and Mathematical Sciences, 1980 The perturbed Schrödinger eigenvalue problem for bound states is cast into integral form using Green's Functions. A systematic algorithm is developed and applied to the resulting equation giving rise to approximate solutions expressed as functions of the
Ollie J. Rose, Carl G. Adler
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EIGENVALUE COLLISION FOR PT-SYMMETRIC WAVEGUIDE
Acta Polytechnica, 2014 We consider a model of a planar PT-symmetric waveguide and study the phenomenon of the eigenvalue collision under perturbation of the boundary conditions. This phenomenon was discovered numerically in previous works.
Denis Borisov
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On a problem in eigenvalue perturbation theory
Journal of Mathematical Analysis and Applications, 2015 10 pages; added Lemma 2.4, typos removed; to appear in J. Math.
Roger Nichols +2 more
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On Eigenvalues and Eigenvectors of Perturbed [PDF]
ITB Journal of Sciences, 2009 This work studied eigenvalues and eigenvectors of a class of perturbed pairwise comparison matrices (PCMs). This type of matrices arises from Analytical Hierarchical Process with inconsistency comparison. By employing some nice structures of the PCMs, we show that the object dimension of size n ≥ 3 can be reduced into a case of size 3, hence simplify
A. D. Garnadi, Pudji Astuti
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Journal of Materials and Engineering Structures, 2022 This paper deal with the stochastic finite element method for investigating the eigenvalues of free vibration of non-uniform beams due to a random field of elastic modulus.
Nhung Thi NGUYEN +3 more
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Singular quadratic eigenvalue problems: Linearization and weak condition numbers [PDF]
arXiv, 2022 The numerical solution of singular eigenvalue problems is complicated by the fact that small perturbations of the coefficients may have an arbitrarily bad effect on eigenvalue accuracy. However, it has been known for a long time that such perturbations are exceptional and standard eigenvalue solvers, such as the QZ algorithm, tend to yield good ...
arxiv
Eigenvalues, pseudospectrum and structured perturbations [PDF]
Linear Algebra and its Applications, 2006 AbstractWe investigate the behavior of eigenvalues under structured perturbations. We show that for many common structures such as (complex) symmetric, Toeplitz, symmetric Toeplitz, circulant and others the structured condition number is equal to the unstructured condition number for normwise perturbations, and prove similar results for real ...
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ASM Science Journal, 2022 This work is aimed at obtaining the energy eigenvalues for one-dimensional quantum harmonic and anharmonic oscillators perturbed by linear, quadratic, cubic and polynomial potentials.
B.I Madububa +4 more
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On the Perturbed Eigenvalue Problem
Journal of Mathematical Analysis and Applications, 1995 AbstractThe perturbed eigenvalue problem L(x)v(x) = λ(x)v(x) is considered near 0 = x ∈ R with L(x) a Fredholm operator of index zero. Using the Implicit Function Theorem and the Bordering Lemma, a necessary and sufficient smoothness condition is derived for the characteristic pairs (λ(x), υ(x)) with eigenvalue λ(x) emanating from a semi-simple ...
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