Iterative improvement of componentwise error bounds of invariant subspaces belonging to a double or nearly double eigenvalue

DOI10.1007/BF02240207zbMath0582.65026OpenAlexW412163067MaRDI QIDQ1068513

H. Spreuer, G. E. Alefeld

Publication date: 1986

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02240207

zbMATH Keywords

error boundsinterval arithmeticinvariant subspacesdouble eigenvaue

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Interval and finite arithmetic (65G30)

Related Items (11)

Rigorous verification of saddle-node bifurcations in ODEs ⋮ Computing (un)stable manifolds with validated error bounds: non-resonant and resonant spectra ⋮ Verified Error Bounds for All Eigenvalues and Eigenvectors of a Matrix ⋮ Fast computation of error bounds for all eigenpairs of a Hermitian and all singular pairs of a rectangular matrix with emphasis on eigen- and singular value clusters ⋮ Unnamed Item ⋮ Epsilon-inflation with contractive interval functions ⋮ Verified error bounds for eigenvalues of geometric multiplicity \(q\) and corresponding invariant subspaces ⋮ Computational error bounds for multiple or nearly multiple eigenvalues ⋮ A simple method for error bounds of eigenvalues of symmetric matrices ⋮ Verification Algorithms for Generalized Singular Values ⋮ Verified error bounds for multiple roots of systems of nonlinear equations

Cites Work

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• Realistic error bounds for a simple eigenvalue and its associated eigenvector
• Improving the Accuracy of Computed Eigenvalues and Eigenvectors
• A Quadratically Convergent Krawczyk-Like Algorithm

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