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Smooth singular value decomposition on the symplectic group and Lyapunov exponents approximation*
| Content Provider | Semantic Scholar |
|---|---|
| Author | Dieci, Luca Lopez, Luciano |
| Copyright Year | 2006 |
| Abstract | AbstractWe give a constructive argument to establish existence of asmooth singular value decomposition (SVD) for a generic Ck symplectic function X. 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 new algorithm to find the SVD of X, which we have used to approximate the Lyapunov exponents of a Hamiltonian differential system. Algorithmic details and an example are given. Keywords: symplectic group, singular values, Lyapunov exponents |
| Starting Page | 1 |
| Ending Page | 15 |
| Page Count | 15 |
| File Format | PDF HTM / HTML |
| DOI | 10.1007/s10092-006-0111-y |
| Alternate Webpage(s) | http://people.math.gatech.edu/~dieci/preps/sympsvd.pdf |
| Alternate Webpage(s) | http://www.math.gatech.edu/~dieci/preps/sympsvd.pdf |
| Alternate Webpage(s) | https://doi.org/10.1007/s10092-006-0111-y |
| Volume Number | 43 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
