Some comparative results on eigenvalues, pseudospectra and conditionspectra

DOI10.1007/s41478-019-00201-4zbMath1471.15006OpenAlexW2973783531MaRDI QIDQ2047316

Daniel Sukumar

Publication date: 19 August 2021

Published in: The Journal of Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s41478-019-00201-4

zbMATH Keywords

eigenvaluesspectrumcondition spectrumpseudo-spectrum

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Eigenvalues, singular values, and eigenvectors (15A18) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Numerical computation of matrix norms, conditioning, scaling (65F35)

Related Items (4)

Representations for the image-kernel \((p,q)\)-inverses of block matrices in rings ⋮ On the condition spectrum of linear operator pencils ⋮ Characterization of the condition spectrum of a compact operator ⋮ Stability analysis of multilinear system using condition spectrum

Cites Work

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• Linear maps preserving pseudospectrum and condition spectrum
• Banach algebra techniques to compute spectra, pseudospectra and condition spectra of some block operators with continuous symbols
• Generalizing Eigenvalue Theorems to Pseudospectra Theorems
• Almost multiplicative functions on commutative Banach algebras
• Generalised Spectra and Analytic Multivalued Functions

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