Search Results
| Search type | Search syntax |
|---|---|
| Tags | [tag] |
| Exact | "words here" |
| Author |
user:1234 user:me (yours) |
| Score |
score:3 (3+) score:0 (none) |
| Answers |
answers:3 (3+) answers:0 (none) isaccepted:yes hasaccepted:no inquestion:1234 |
| Views | views:250 |
| Code | code:"if (foo != bar)" |
| Sections |
title:apples body:"apples oranges" |
| URL | url:"*.example.com" |
| Saves | in:saves |
| Status |
closed:yes duplicate:no migrated:no wiki:no |
| Types |
is:question is:answer |
| Exclude |
-[tag] -apples |
| For more details on advanced search visit our help page | |
Results tagged with perturbation-theory
Search options answers only
not deleted
user 8799
20
votes
Differentiability of Eigenvalues - Perturbation Theory
The complete reference is Kato's book Perturbation theory .... But perhaps you need only the most basic results. Then see my book Matrices (Springer GTM #216), 2nd edition. This is Section 5.2.
Mind …
- 52.3k
2
votes
Bounding eigenvalue/eigenspace perturbations for hermitian matrices
The eigenvalues are $1$-Lipschitz over the set of Hermitian matrices:
$$|\lambda_k(B)-\lambda_k(A)\|\le\|B-A\|.$$
This Lipschitz property is a very different phenomenon than the analyticity of $t\maps …
- 52.3k
1
vote
Accepted
Eigenvalue-related statements
This is rather classical. The set of such $\lambda$'s is called the $\epsilon$-pseudo-spectrum. It is presented in many books on numerical linear algebra. I suggest S.K. Godunov Modern aspects of line …
- 52.3k