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Smooth SVD on the Lorentz group with application to computation of Lyapunov exponents
| Content Provider | Semantic Scholar |
|---|---|
| Author | Dieci, Luca Elia, Cinzia Lopez, Luciano |
| Copyright Year | 2004 |
| Abstract | In this work we give a constructive argument to establish existence of a smooth singular value decomposition (SVD) for a Ck function X in the Lorentz group. We rely on the explicit structure of the polar factorization of X in order to justify the form of the SVD. Our construction gives a simple algorithm to find the SVD of X, which we have used to approximate the Lyapunov exponents of a differential system whose fundamental matrix solution evolves on the Lorentz group. Algorithmic details and examples are given. |
| Starting Page | 255 |
| Ending Page | 264 |
| Page Count | 10 |
| File Format | PDF HTM / HTML |
| DOI | 10.1016/S0377-0427(03)00644-7 |
| Volume Number | 164 |
| Alternate Webpage(s) | http://people.math.gatech.edu/~dieci/preps/lor_last.pdf |
| Alternate Webpage(s) | http://www.math.gatech.edu/~dieci/preps/lor_last.pdf |
| Alternate Webpage(s) | https://doi.org/10.1016/S0377-0427%2803%2900644-7 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
