A pseudospectral mapping theorem

DOI10.1090/S0025-5718-03-01542-4zbMath1031.15012OpenAlexW1977120869MaRDI QIDQ4417162

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Publication date: 28 July 2003

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0025-5718-03-01542-4

zbMATH Keywords

eigenvaluespseudospectraspectral mapping theoremGrcar and Kahan matrices

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)

Related Items (5)

A pseudospectral mapping theorem for operator pencils ⋮ Taylor's theorem for matrix functions with applications to condition number estimation ⋮ \((n,\varepsilon)\)-condition spectrum of operator pencils ⋮ Unnamed Item ⋮ Spectrum and related sets: a survey

Uses Software

• eigs
• ARPACK
• Eigtool

Cites Work

• Unnamed Item
• Generalizing Eigenvalue Theorems to Pseudospectra Theorems
• Large-Scale Computation of Pseudospectra Using ARPACK and Eigs
• Pseudospectra of Linear Operators

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