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Palindromic Polynomial Eigenvalue Problems:Good Vibrations from Good Linearizations
| Content Provider | Semantic Scholar |
|---|---|
| Author | Mackey, D. Steven Mackey, Niloufer Mehl, Christian Mehrmann, Volker |
| Copyright Year | 2006 |
| Abstract | Many applications give rise to nonlinear eigenvalue problems with an underlying structured matrix polynomial. In this paper several useful classes of structured polynomial (e.g., palindromic, even, odd) are identified and the relationships between them explored. A special class of linearizations that reflect the structure of these polynomials, and therefore preserve symmetries in their spectra, is introduced and investigated. We analyze the existence and uniqueness of such linearizations, and show how they may be systematically constructed. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://eprints.maths.manchester.ac.uk/189/1/narep466.pdf |
| Alternate Webpage(s) | http://homepages.wmich.edu/~mackey/palin_applic.pdf |
| Alternate Webpage(s) | http://www.maths.manchester.ac.uk/~higham/narep/narep466.pdf |
| Alternate Webpage(s) | https://opus4.kobv.de/opus4-matheon/frontdoor/deliver/index/docId/244/file/282.pdf |
| Alternate Webpage(s) | http://www.maths.manchester.ac.uk/~nareports/narep466.pdf |
| Alternate Webpage(s) | http://www.maths.man.ac.uk/~nareports/narep466.pdf |
| Alternate Webpage(s) | http://www.ma.man.ac.uk/~nareports/narep466.pdf |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
