Name
Abstract | ||
|---|---|---|
The map which takes a square matrix to its tropical eigenvalue-eigenvector pair is piecewise linear. We determine the cones of linearity of this map. They are simplicial but they do not form a fan. Motivated by statistical ranking, we also study the restriction of that cone decomposition to the subspace of skew-symmetric matrices. |
Year | DOI | Venue |
|---|---|---|
2011 | 10.1112/blms/bds058 | BULLETIN OF THE LONDON MATHEMATICAL SOCIETY |
Keywords | Field | DocType |
discrete mathematics,symmetric matrices,piecewise linear,eigenvectors,eigenvalues | Topology,Combinatorics,Ranking,Subspace topology,Mathematical analysis,Matrix (mathematics),Linearity,Square matrix,Piecewise linear function,Mathematics,Eigenvalues and eigenvectors | Journal |
Volume | ISSN | Citations |
45.0 | 0024-6093 | 3 |
PageRank | References | Authors |
0.66 | 0 | 2 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Bernd Sturmfels | 1 | 926 | 136.85 |
| Ngoc Mai Tran | 2 | 6 | 3.21 |