Asymptotic expansions of the largest eigenvalues
M. Gozzi, A. Khelifi
TL;DR
This paper derives precise asymptotic formulas for the largest eigenvalues of self-adjoint compact operators, accounting for small inhomogeneities, advancing understanding of spectral behavior in perturbed systems.
Contribution
It provides a rigorous derivation of asymptotic expansions for the largest eigenvalues considering perturbations from small inhomogeneities.
Findings
Asymptotic formulas for largest eigenvalues derived
Convergence estimates for eigenvalues established
Perturbation effects quantified
Abstract
In this paper, we provide a rigorous derivation of asymptotic formula for the largest eigenvalues using the convergence estimation of the eigenvalues of a sequence of self-adjoint compact operators of perturbations resulting from the presence of small inhomogeneities.
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Taxonomy
TopicsSpectral Theory in Mathematical Physics · Numerical methods in inverse problems · Matrix Theory and Algorithms