On sensitivity of eigenvalues and eigendecompositions of matrices

DOI10.1016/j.laa.2004.10.013zbMath1084.15017OpenAlexW2139330196MaRDI QIDQ1763838

Rafikul Alam, Shreemayee Bora

Publication date: 22 February 2005

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

Full work available at URL: https://doi.org/10.1016/j.laa.2004.10.013

zbMATH Keywords

stabilitynumerical examplespseudospectrummultiple eigenvalueseigendecompositiongeometrical separation of eigenvalues

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Inequalities involving eigenvalues and eigenvectors (15A42)

Related Items (20)

Verified Error Bounds for All Eigenvalues and Eigenvectors of a Matrix ⋮ Spectral conditioning and pseudospectral growth ⋮ How well-conditioned can the eigenvector problem be? ⋮ On the boundaries of strict pseudospectra ⋮ Variational Analysis of Approximate Defective Eigenvalues ⋮ Structured pseudospectra and structured sensitivity of eigenvalues ⋮ Matrix polynomials with specified eigenvalues ⋮ Nearest matrix with a prescribed eigenvalue of bounded multiplicities ⋮ The verification of multiplicity support of a defective eigenvalue of a real matrix ⋮ Locating a nearest matrix with an eigenvalue of prespecified algebraic multiplicity ⋮ Unnamed Item ⋮ Characterization and construction of the nearest defective matrix via coalescence of pseudospectral components ⋮ Level set methods for finding critical points of mountain pass type ⋮ On the construction of nearest defective matrices to a normal matrix ⋮ On pseudospectra of matrix polynomials and their boundaries ⋮ Pseudospectra, critical points and multiple eigenvalues of matrix polynomials ⋮ The calculation of the distance to a nearby defective matrix ⋮ Differential Equations for Real-Structured Defectivity Measures ⋮ Distance evaluation to the set of matrices with multiple eigenvalues ⋮ Approximated structured pseudospectra

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