Improving the condition number of a simple eigenvalue by a rank one matrix

DOI10.1016/j.aml.2016.01.010zbMath1337.15009OpenAlexW2252857204MaRDI QIDQ274213

Rafael Cantó, Ana M. Urbano, Rafael Bru

Publication date: 22 April 2016

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2016.01.010

zbMATH Keywords

Brauer's theoremdiagonalization matrixeigenvalue condition numberrank-one update

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Numerical computation of matrix norms, conditioning, scaling (65F35) Conditioning of matrices (15A12)

Related Items (1)

Recursive rank one perturbations for pole placement and cone reachability

Cites Work

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• A Brauer's theorem and related results
• Rank-one modification of the symmetric eigenproblem
• Limits for the characteristic roots of a matrix. IV. Applications to stochastic matrices
• Numerical Methods for Large Eigenvalue Problems
• Updating the singular value decomposition

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