On condition numbers of a nondefective multiple eigenvalue of a nonsymmetric matrix pencil

DOI10.1016/j.laa.2012.04.046zbMath1254.15019OpenAlexW1990527027MaRDI QIDQ445818

Hua Dai, Hui-Qing Xie

Publication date: 27 August 2012

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2012.04.046

zbMATH Keywords

spectral radiusgeneralized eigenvalue problemFrobenius normcondition numbersspectral normmultiple eigenvaluesregular matrix pencil

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) Conditioning of matrices (15A12) Matrix pencils (15A22)

Related Items (1)

The power method and beyond

Cites Work

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• Eigenvalues of graded matrices and the condition numbers of a multiple eigenvalue
• On condition numbers and the distance to the nearest ill-posed problem
• On condition numbers of a nondefective multiple eigenvalue
• On worst-case condition numbers of a nondefective multiple eigenvalue
• Condition operators, condition numbers, and condition number theorem for the generalized eigenvalue problem
• On the sensitivity of multiple eigenvalues of nonsymmetric matrix pencils.
• About Hölder condition numbers and the stratification diagram for defective eigenvalues
• On the Lidskii--Vishik--Lyusternik Perturbation Theory for Eigenvalues of Matrices with Arbitrary Jordan Structure

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