Name
Title | ||
|---|---|---|
Computing Extremal Points of Symplectic Pseudospectra and Solving Symplectic Matrix Nearness Problems. |
Abstract | ||
|---|---|---|
We study differential equations that lead to extremal points in symplectic pseudospectra. In a two-level approach, where on the inner level we compute extremizers of the symplectic epsilon-pseudospectrum for a given epsilon and on the outer level we optimize over epsilon, this is used to solve symplectic matrix nearness problems such as the following: For a symplectic matrix with eigenvalues of unit modulus, we aim to determine the nearest complex symplectic matrix such that some or all eigenvalues leave the complex unit circle. Conversely, for a symplectic matrix with all eigenvalues lying off the unit circle, we consider the problem of computing the nearest symplectic matrix that has an eigenvalue on the unit circle. |
Year | DOI | Venue |
|---|---|---|
2014 | 10.1137/13094476X | SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS |
Keywords | Field | DocType |
symplectic pseudospectrum,distance to instability,low-rank dynamics,differential equations on Stiefel manifolds | Combinatorics,Symplectic manifold,Symplectic group,Mathematical analysis,Moment map,Symplectic vector space,Symplectic matrix,Symplectic geometry,Symplectic representation,Symplectomorphism,Mathematics | Journal |
Volume | Issue | ISSN |
35 | 4 | 0895-4798 |
Citations | PageRank | References |
1 | 0.37 | 6 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Nicola Guglielmi | 1 | 156 | 33.07 |
| Daniel Kressner | 2 | 449 | 48.01 |
| Christian Lubich | 3 | 739 | 109.24 |