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Real ideal and the duality of semidefinite programming for polynomial optimization.
- Source :
- Japan Journal of Industrial & Applied Mathematics; Jun2013, Vol. 30 Issue 2, p321-330, 10p
- Publication Year :
- 2013
-
Abstract
- We study the ideal generated by polynomials vanishing on a semialgebraic set and give elementary proofs for some equivalent conditions for reality of ideals or S-radical ideals. These results can be applied for modifying polynomial optimization problems so that the associated semidefinite programming relaxation problems have no duality gap. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 09167005
- Volume :
- 30
- Issue :
- 2
- Database :
- Complementary Index
- Journal :
- Japan Journal of Industrial & Applied Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 88235570
- Full Text :
- https://doi.org/10.1007/s13160-013-0104-6