Abstract
A new identity for resolvents of matrices is suggested. We show that in appropriate situations, it is more convenient than the Hilbert identity. In particular, we establish new invertibility conditions for perturbed matrices as well as new bounds for the spectrum of perturbed matrices.
| Original language | English |
|---|---|
| Pages (from-to) | 715-720 |
| Number of pages | 6 |
| Journal | Linear and Multilinear Algebra |
| Volume | 62 |
| Issue number | 6 |
| DOIs | |
| State | Published - 1 Jan 2014 |
Keywords
- identity
- matrices
- resolvent
- spectrum perturbation
ASJC Scopus subject areas
- Algebra and Number Theory