| Title:
|
A method to rigorously enclose eigenpairs of complex interval matrices (English) |
| Author:
|
Castelli, Roberto |
| Author:
|
Lessard, Jean-Philippe |
| Language:
|
English |
| Journal:
|
Applications of Mathematics 2013 |
| Volume:
|
Proceedings. Prague, May 15-17, 2013 |
| Issue:
|
2013 |
| Year:
|
|
| Pages:
|
21-32 |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper, a rigorous computational method to enclose eigenpairs of complex interval matrices is proposed. Each eigenpair $x=(\lambda,\rv)$ is found by solving a nonlinear equation of the form $f(x)=0$ via a contraction argument. The set-up of the method relies on the notion of ${\em radii polynomials}$, which provide an efficient mean of determining a domain on which the contraction mapping theorem is applicable. (English) |
| Keyword:
|
eigenvalue |
| Keyword:
|
eigenvector |
| Keyword:
|
interval arithmetic |
| Keyword:
|
complex matrix |
| MSC:
|
15A42 |
| MSC:
|
65F15 |
| MSC:
|
65G30 |
| idZBL:
|
Zbl 1340.65057 |
| idMR:
|
MR3204427 |
| . |
| Date available:
|
2017-02-14T09:13:23Z |
| Last updated:
|
2017-03-20 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/702928 |
| . |
