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CERTIFICATION FOR POLYNOMIAL SYSTEMS VIA SQUARE SUBSYSTEMS
| Content Provider | Hyper Articles en Ligne (HAL) |
|---|---|
| Author | Duff, Timothy Hein, Nickolas Sottile, Frank |
| Copyright Year | 2019 |
| Abstract | We consider numerical certification of approximate solutions to a system of polynomial equations with more equations than unknowns by first certifying solutions to a square subsystem. We give several approaches that certifiably select which are solutions to the original overdetermined system. These approaches each use different additional information for this certification, such as liaison, Newton-Okounkov bodies, or intersection theory. They may be used to certify individual solutions, reject nonsolutions, or certify that we have found all solutions. |
| Related Links | https://inria.hal.science/hal-02912296/file/10.pdf |
| Conference Proceedings | MEGA 2019 - International Conference on Effective Methods in Algebraic Geometry |
| Language | English |
| Publisher | HAL CCSD |
| Publisher Date | 2019-01-01 |
| Access Restriction | Open |
| Subject Keyword | certied solutions numerical algebraic geometry alpha theory polynomial system Schubert calculus Newton-Okounkov bodies |
| Content Type | Text |
| Resource Type | Conference Proceedings |
| Subject | Mathematics Computer Science |
