The pseudo-spectrum of operator pencils

DOI10.1142/S1793557120501004MaRDI QIDQ4985423

Z. Aissaoui, Ammar Khellaf, Samir Lemita, Hamza Guebbai

Publication date: 23 April 2021

Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

Schrödinger operatorunbounded operatorgeneralized spectrumpseudo-spectrum

Mathematics Subject Classification ID

Eigenvalue problems for linear operators (47A75) Schrödinger operator, Schrödinger equation (35J10) Numerical approximation of eigenvalues and of other parts of the spectrum of ordinary differential operators (34L16) Operator theory (47-XX)

Related Items (2)

A pseudospectral mapping theorem for operator pencils ⋮ \((n,\varepsilon)\)-condition spectrum of operator pencils

Uses Software

• Eigtool

Cites Work

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• Generalized spectrum approximation and numerical computation of eigenvalues for Schrödinger's operators
• On spectral pollution in the finite element approximation of thin elastic ``membrane shells
• Pseudospectra for matrix pencils and stability of equilibria
• Spectral instability for some Schrödinger operators
• A remark on spurious eigenvalues in a square
• A generalization of the inertia theorem for quadratic matrix polynomials
• Spectral theory of operator pencils, Hermite-Biehler functions, and their applications
• The Quadratic Eigenvalue Problem
• The Numerical Solution of Integral Equations of the Second Kind
• On the problem of spurious eigenvalues in the approximation of linear elliptic problems in mixed form
• Spectral pollution

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