Abstract
VerifyRealRoots is a Matlab package for computing and verifying real solutions of polynomial systems of equations and inequalities. It calls Bertini or MMCRSolver for finding approximate real solutions and then applies AINLSS to verify the existence of a regular solution of a polynomial system or applies AINLSS2 (AIVISS) to verify the existence of a double solution (a singular solution of an arbitrary multiplicity) of a slightly perturbed polynomial system.
| Original language | English |
|---|---|
| Pages (from-to) | 866-883 |
| Number of pages | 18 |
| Journal | Journal of Systems Science and Complexity |
| Volume | 36 |
| Issue number | 2 |
| DOIs | |
| State | Published - Apr 2023 |
Keywords
- Error bounds
- polynomial system
- real solutions
- singular solutions
- verification