Name
Abstract | ||
|---|---|---|
Formulating a Schubert problem as solutions to a system of equations in either Plücker space or local coordinates of a Schubert cell typically involves more equations than variables. We present a novel primal-dual formulation of any Schubert problem on a Grassmannian or flag manifold as a system of bilinear equations with the same number of equations as variables. This formulation enables numerical computations in the Schubert calculus to be certified using algorithms based on Smale's $$\\alpha $$ź-theory. |
Year | DOI | Venue |
|---|---|---|
2016 | 10.1007/s10208-015-9270-z | Foundations of Computational Mathematics |
Keywords | Field | DocType |
Schubert calculus,Square systems,Certification,14N15,14Q20 | Plucker,Algebra,Generalized flag variety,System of linear equations,Local coordinates,Mathematical analysis,Schubert calculus,Pure mathematics,System of bilinear equations,Grassmannian,Schubert variety,Mathematics | Journal |
Volume | Issue | ISSN |
16 | 4 | 1615-3375 |
Citations | PageRank | References |
0 | 0.34 | 14 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Jonathan D. Hauenstein | 1 | 269 | 37.65 |
| Nickolas Hein | 2 | 6 | 1.54 |
| Frank Sottile | 3 | 26 | 5.10 |