Results 31 to 40 of about 6,302 (292)
Perturbations of nonlinear eigenvalue problems
Communications on Pure & Applied Analysis, 2019 arXiv admin note: text overlap with arXiv:1804 ...
Papageorgiou, Nikolaos S. +2 more
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On the Perturbed Eigenvalue Problem
Journal of Mathematical Analysis and Applications, 1995 The author considers the perturbed eigenvalue problem \(L(x) v(x)= \lambda(x) v(x)\) near \(0= x\in \mathbb{R}\) with \(L(x)\) a Fredholm operator of index zero. Using the implicit function theorem and the bordering lemma, he derives a necessary and sufficient smoothness condition for the characteristic pairs \((\lambda(x), v(x))\) with eigenvalue ...
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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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Boundary Value Problems, 2010 We applied the variational iteration method and the homotopy perturbation method to solve Sturm-Liouville eigenvalue and boundary value problems. The main advantage of these methods is the flexibility to give approximate and exact solutions to both ...
R. Darzi, A. Neamaty
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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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Analysis of alpha modes in multigroup diffusion
Nuclear Engineering and Technology, 2017 The alpha eigenvalue problem in multigroup neutron diffusion is studied with particular attention to the theoretical analysis of the model. Contrary to previous literature results, the existence of eigenvalue and eigenflux clustering is investigated here
Richard Sanchez +3 more
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A note on eigenvalues of perturbed Hermitian matrices [PDF]
Linear Algebra and its Applications, 2005 Let $$ A=\left(\begin{array}{cc} H_1 & E^*\\ E & H_2\end{array}\right) \quad \hbox{ and } \quad \wtd A=\left(\begin{array}{cc} H_1 & O\\ O & H_2\end{array}\right)$$ be two $N$-by-$N$ Hermitian matrices with eigenvalues $λ_1 \ge \cdots \ge λ_{N}$ and $\wtd λ_1 \ge \cdots \ge \wtd λ_N$, respectively.
Ren-Cang Li, Chi-Kwong Li
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Multiple-rank modification of symmetric eigenvalue problem
MethodsX, 2018 Rank-1 modifications applied k-times (k > 1) often are performed to achieve a rank-k modification. We propose a rank- k modification for enhancing computational efficiency. As the first step toward a rank- k modification, an algorithm to perform a rank-2
HyungSeon Oh, Zhe Hu
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Robust Subsynchronous Damping Control of PMSG-Based Wind Farm
Energies, 2023 This paper provides an H∞ robust control strategy for a permanent magnet synchronous generator (PMSG)-based wind farm to realize subsynchronous resonance suppression (SSR) subject to uncertain system distortions and parameter perturbation.
Yun Wang +5 more
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Advanced Functional Materials, EarlyView.From a database of 170 pentagonal 2D materials, 4 candidates exhibiting altermagnetic ordering are screened. Furthermore, the spin‐splitting and unconventional boundary states in the pentagonal 2D altermagnetic monolayer MnS2 are investigated. A MnS2‐based altermagnetic tunneling junction is designed and, through ab initio quantum transport simulations,
Jianhua Wang +8 more
wiley +1 more source