Abstract
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. © 2006 Elsevier Inc. All rights reserved.
| Original language | American English |
|---|---|
| Pages (from-to) | 765-771 |
| Number of pages | 7 |
| Journal | Linear Algebra and its Applications |
| Volume | 419 |
| Issue number | 2-3 |
| State | Published - Dec 1 2006 |
Funding
Keywords: Diagonalizable and singular matrix; Simple invariant subspaces; Separation function; Relative perturbation bound ∗ Corresponding author. Address: School of Mathematical Sciences, Fudan University, Shanghai 200433, PR China. E-mail addresses: [email protected] (Y. Wei), [email protected] (X. Li), [email protected] (F. Bu), [email protected] (F. Zhang). 1 The work of this author was supported by the National Natural Science Foundation of China under grant 10471027 and Shanghai Education Committee. 2 Partial work of this author was finished when the author visited the Key Laboratory of Mathematics for Nonlinear Sciences of Fudan University.
| Funders | Funder number |
|---|---|
| Shanghai Education Committee | |
| National Natural Science Foundation of China | 10471027 |
ASJC Scopus Subject Areas
- Algebra and Number Theory
- Numerical Analysis
- Geometry and Topology
- Discrete Mathematics and Combinatorics
Keywords
- Diagonalizable and singular matrix
- Relative perturbation bound
- Separation function
- Simple invariant subspaces
Disciplines
- Mathematics
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