Nonlocal sensitivity analysis of the eigensystem of a matrix with distinct eigenvalues

DOI10.1080/01630569708816765zbMath0882.15012OpenAlexW1996437743MaRDI QIDQ4351395

Michael M.Konstantinov, Petko Hr. Petkov, Da-Wei Gu

Publication date: 8 March 1998

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630569708816765

zbMATH Keywords

eigenvalueseigenvectorsperturbation boundseigensystemnonlocal sensitivity analysisLyapunov majorants

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Eigenvalues, singular values, and eigenvectors (15A18)

Related Items (3)

\(4 \times 4\) irreducible sign pattern matrices that require four distinct eigenvalues ⋮ A parameterization of parahermitian matrix functions and its application to a state-space solution for \(\mu\)-analysis ⋮ Is every nonsingular matrix diagonally equivalent to a matrix with all distinct eigenvalues?

Cites Work

• Derivatives and Perturbations of Eigenvectors
• Residual Bounds on Approximate Eigensystems of Nonnormal Matrices
• Nonlocal Perturbation Analysis of the Schur System of a Matrix
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