A pseudospectral mapping theorem for operator pencils

DOI10.7153/oam-2022-16-52OpenAlexW4312856018MaRDI QIDQ5882819

Unnamed Author, Unnamed Author

Publication date: 17 March 2023

Published in: Operators and Matrices (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/oam-2022-16-52

zbMATH Keywords

spectrumpseudospectrumoperator pencilspectral mapping theorem\((n,\varepsilon)\)-pseudospectrum

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Spectrum, resolvent (47A10) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Numerical solutions to equations with linear operators (65J10) Matrix pencils (15A22)

Related Items (1)

\((n,\varepsilon)\)-condition spectrum of operator pencils

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On \((N,\epsilon)\)-pseudospectra of operators on Banach spaces
• Pseudospectra for matrix pencils and stability of equilibria
• The (\(n,\epsilon\))-pseudospectrum of an element of a Banach algebra
• An efficient code to compute non-parallel steady flows and their linear stability
• Generalized determinant pseudo-spectrum of matrix pencils
• On the approximation of spectra of linear operators on Hilbert spaces
• Infinite-dimensional numerical linear algebra: theory and applications
• On the Solvability Complexity Index, the 𝑛-pseudospectrum and approximations of spectra of operators
• A pseudospectral mapping theorem
• Complexity issues in computing spectra, pseudospectra and resolvents
• The pseudo-spectrum of operator pencils
• The condition pseudospectrum of a operator pencil
• On the Spectrum of an Operator Pencil with Applications to Wave Propagation in Periodic and Frequency Dependent Materials
• An unbounded spectral mapping theorem

This page was built for publication: A pseudospectral mapping theorem for operator pencils