Mathematical Sciences: Faculty Presentations (1991-2022)
Relative Perturbation Bounds for the Eigenvalues of Diagonalizable and Singular Matrices - Application of Perturbation Theory for Simple Invariant Subspaces
Document Type
Presentation
Presentation Date
7-18-2006
Copyright
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Abstract or Description
Perturbation bounds for the relative error in the eigenvalues of diagonalizable and singular matrices are derived by using perturbation theory for simple invariant subspaces of a matrix and the group inverse of a matrix. These upper bounds are supplements to the related perturbation bounds for the eigenvalues of diagonalizable and nonsingular matrices.
Sponsorship/Conference/Institution
International Linear Algebra Society Annual Conference (ILAS)
Location
Amsterdam, Netherlands
Recommended Citation
Li, Xiezhang, Yimin Wei, Fanbin Bu, Fuzhen Zhang.
2006.
"Relative Perturbation Bounds for the Eigenvalues of Diagonalizable and Singular Matrices - Application of Perturbation Theory for Simple Invariant Subspaces."
Mathematical Sciences: Faculty Presentations (1991-2022).
Presentation 266.
https://digitalcommons.georgiasouthern.edu/math-sci-facpres/266
